Exploration response for "exploration_id": "DIWZiVgs0km-"

)]}'
{"exploration": {"param_changes": [], "states": {"Q6 on N and D": {"param_changes": [], "interaction": {"solution": null, "answer_groups": [{"tagged_skill_misconception_id": null, "outcome": {"param_changes": [], "feedback": {"content_id": "feedback_1", "html": "\u003cp\u003eThat's great! You've really learned this well!\u003c/p\u003e"}, "dest": "Final Card", "refresher_exploration_id": null, "missing_prerequisite_skill_id": null, "labelled_as_correct": false}, "training_data": [], "rule_specs": [{"rule_type": "Equals", "inputs": {"x": "7/9"}}]}, {"tagged_skill_misconception_id": null, "outcome": {"param_changes": [], "feedback": {"content_id": "feedback_2", "html": "\u003cp\u003eOops, read the question carefully and try again!\u003c/p\u003e"}, "dest": "Q6 on N and D", "refresher_exploration_id": null, "missing_prerequisite_skill_id": null, "labelled_as_correct": false}, "training_data": [], "rule_specs": [{"rule_type": "Equals", "inputs": {"x": "2/9"}}]}, {"tagged_skill_misconception_id": null, "outcome": {"param_changes": [], "feedback": {"content_id": "feedback_3", "html": "\u003cp\u003eNope, you've got the numerator and denominator in the wrong places!\u003c/p\u003e"}, "dest": "Remedial - Numerator and Denominator", "refresher_exploration_id": null, "missing_prerequisite_skill_id": null, "labelled_as_correct": false}, "training_data": [], "rule_specs": [{"rule_type": "Equals", "inputs": {"x": "9/7"}}]}, {"tagged_skill_misconception_id": null, "outcome": {"param_changes": [], "feedback": {"content_id": "feedback_4", "html": "\u003cp\u003eNope! Let's have a look again at how a fraction is defined.\u003c/p\u003e"}, "dest": "Remedial - Numerator and Denominator", "refresher_exploration_id": null, "missing_prerequisite_skill_id": null, "labelled_as_correct": false}, "training_data": [], "rule_specs": [{"rule_type": "Equals", "inputs": {"x": "2/7"}}, {"rule_type": "Equals", "inputs": {"x": "7/2"}}]}, {"tagged_skill_misconception_id": null, "outcome": {"param_changes": [], "feedback": {"content_id": "feedback_5", "html": "\u003cp\u003eYou've got the right denominator! The numerator doesn't seem correct, though -- remember that the numerator of a fraction is the number of \u003cem\u003eselected\u003c/em\u003e parts. Have another go?\u003c/p\u003e"}, "dest": "Q6 on N and D", "refresher_exploration_id": null, "missing_prerequisite_skill_id": null, "labelled_as_correct": false}, "training_data": [], "rule_specs": [{"rule_type": "Contains", "inputs": {"x": "/9"}}]}], "default_outcome": {"param_changes": [], "feedback": {"content_id": "default_outcome", "html": "\u003cp\u003eNope, try again. I know you can get this!\u003c/p\u003e"}, "dest": "Q6 on N and D", "refresher_exploration_id": null, "missing_prerequisite_skill_id": null, "labelled_as_correct": false}, "customization_args": {"rows": {"value": 1}, "placeholder": {"value": "Write your fraction as x/y."}}, "confirmed_unclassified_answers": [], "id": "TextInput", "hints": [{"hint_content": {"content_id": "hint_1", "html": "\u003cp\u003eStart with the denominator first. How many pieces is the whole cake cut into? That number goes on the bottom of the fraction.\u003c/p\u003e"}}, {"hint_content": {"content_id": "hint_2", "html": "\u003cp\u003eAfter cutting the cake into equal parts and finding the denominator, you can find the numerator by counting how many of these parts we want.\u003c/p\u003e"}}, {"hint_content": {"content_id": "hint_3", "html": "\u003cp\u003eRemember to write your answer in the form: numerator / denominator. For example, you might write something like 3/5 or 1/6. (These are just examples -- make sure to get the numbers right!)\u003c/p\u003e"}}]}, "recorded_voiceovers": {"voiceovers_mapping": {"content": {"es": {"file_size_bytes": 463869, "needs_update": false, "filename": "content-es-98dcbbe6mf.mp3"}, "hi-en": {"file_size_bytes": 310330, "needs_update": false, "filename": "content-hi-en-b60gqlidf95aerxa2e8x9r7ldi.mp3"}}, "feedback_4": {}, "feedback_5": {}, "feedback_2": {}, "feedback_3": {}, "feedback_1": {}, "hint_1": {}, "hint_2": {}, "hint_3": {}, "default_outcome": {}}}, "classifier_model_id": null, "content": {"content_id": "content", "html": "\u003cp\u003e\"Let's try one last question,\" said Mr. Baker. \"Here's a pineapple cake cut into pieces.\"\u003c/p\u003e\u003coppia-noninteractive-image alt-with-value=\"\u0026amp;quot;Pineapple cake with 7/9 having cherries.\u0026amp;quot;\" caption-with-value=\"\u0026amp;quot;\u0026amp;quot;\" filepath-with-value=\"\u0026amp;quot;pineapple_cake_height_479_width_480.png\u0026amp;quot;\"\u003e\u003c/oppia-noninteractive-image\u003e\u003cp\u003e\u00a0\u003c/p\u003e\u003cp\u003e\u003cstrong\u003eQuestion 6\u003c/strong\u003e: What fraction of the cake has big red cherries in the pineapple slices?\u003c/p\u003e"}, "written_translations": {"translations_mapping": {"content": {}, "feedback_4": {}, "feedback_5": {}, "feedback_2": {}, "feedback_3": {}, "feedback_1": {}, "hint_1": {}, "hint_2": {}, "hint_3": {}, "default_outcome": {}}}, "solicit_answer_details": false}, "Introduction": {"param_changes": [], "interaction": {"solution": null, "answer_groups": [], "default_outcome": {"param_changes": [], "feedback": {"content_id": "default_outcome", "html": ""}, "dest": "Problem", "refresher_exploration_id": null, "missing_prerequisite_skill_id": null, "labelled_as_correct": false}, "customization_args": {"buttonText": {"value": "Continue"}}, "confirmed_unclassified_answers": [], "id": "Continue", "hints": []}, "recorded_voiceovers": {"voiceovers_mapping": {"content": {"es": {"file_size_bytes": 1400616, "needs_update": false, "filename": "content-es-4lbxy0bwo4g.mp3"}, "hi-en": {"file_size_bytes": 901734, "needs_update": false, "filename": "content-hi-en-u0rzwuys9s7ur1kg3b5zsemi.mp3"}}, "default_outcome": {}}}, "classifier_model_id": null, "content": {"content_id": "content", "html": "\u003cp\u003eMeet Matthew!\u003c/p\u003e\u003coppia-noninteractive-image alt-with-value=\"\u0026amp;quot;Matthew.\u0026amp;quot;\" caption-with-value=\"\u0026amp;quot;\\\u0026amp;quot;Hi!\\\u0026amp;quot;\u0026amp;quot;\" filepath-with-value=\"\u0026amp;quot;hello_height_253_width_108.png\u0026amp;quot;\"\u003e\u003c/oppia-noninteractive-image\u003e\u003cp\u003eMatthew is a typical young man: he likes friends, sports, and eating cake! He also likes learning new things. We\u2019ll follow Matthew as he learns about fractions and how to use them.\u003c/p\u003e\u003cp\u003eYou should know the following before continuing:\u003c/p\u003e\u003cul\u003e\u003cli\u003eThe counting numbers (1, 2, 3, 4, 5, ...)\u003c/li\u003e\u003cli\u003eHow to add, subtract, multiply, and divide these numbers\u003c/li\u003e\u003cli\u003eHow to tell whether a number is bigger than another.\u003c/li\u003e\u003c/ul\u003e\u003cp\u003eYou should also get some\u00a0paper and a pen or pencil\u00a0to write with, and find a quiet place to work. Be sure to take your time and go through the story at your own pace. Understanding is more important than speed!\u003cbr\u003e\u003c/p\u003e\u003cp\u003eReady? Click\u00a0\u003cstrong\u003eContinue\u003c/strong\u003e\u00a0to get started!\u003c/p\u003e"}, "written_translations": {"translations_mapping": {"content": {}, "default_outcome": {}}}, "solicit_answer_details": false}, "Q5 on N and D": {"param_changes": [], "interaction": {"solution": null, "answer_groups": [{"tagged_skill_misconception_id": null, "outcome": {"param_changes": [], "feedback": {"content_id": "feedback_1", "html": "\u003cp\u003eFantastic! That's exactly right! Let's try just one more.\u003c/p\u003e"}, "dest": "Q6 on N and D", "refresher_exploration_id": null, "missing_prerequisite_skill_id": null, "labelled_as_correct": false}, "training_data": [], "rule_specs": [{"rule_type": "Equals", "inputs": {"x": "3/5"}}]}, {"tagged_skill_misconception_id": null, "outcome": {"param_changes": [], "feedback": {"content_id": "feedback_2", "html": "\u003cp\u003eOops, that's not quite right. Did you read the question carefully? It's asking about the \u003cem\u003ewhite \u003c/em\u003epieces.\u003c/p\u003e"}, "dest": "Q5 on N and D", "refresher_exploration_id": null, "missing_prerequisite_skill_id": null, "labelled_as_correct": false}, "training_data": [], "rule_specs": [{"rule_type": "Equals", "inputs": {"x": "2/5"}}]}, {"tagged_skill_misconception_id": null, "outcome": {"param_changes": [], "feedback": {"content_id": "feedback_3", "html": "\u003cp\u003eOops, it looks like you've mixed up the numerator and denominator! Remember, the denominator is the number of pieces the \u003cem\u003ewhole\u003c/em\u003e cake is divided into, and it goes at the \u003cem\u003ebottom \u003c/em\u003eof the fraction\u003cem\u003e.\u003cbr\u003e\u003c/em\u003e\u003c/p\u003e\u003cp\u003e\u00a0\u003c/p\u003e\u003cp\u003ePractice makes perfect -- so, let's try practicing this again, and see if you can get it right the next time!\u003cbr\u003e\u003c/p\u003e"}, "dest": "Remedial - Numerator and Denominator", "refresher_exploration_id": null, "missing_prerequisite_skill_id": null, "labelled_as_correct": false}, "training_data": [], "rule_specs": [{"rule_type": "Equals", "inputs": {"x": "5/2"}}, {"rule_type": "Equals", "inputs": {"x": "5/3"}}]}, {"tagged_skill_misconception_id": null, "outcome": {"param_changes": [], "feedback": {"content_id": "feedback_4", "html": "\u003cp\u003eOops! Remember, here's how you write a fraction:\u003c/p\u003e\u003cp\u003e\u00a0\u003c/p\u003e\u003cp\u003e\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u003coppia-noninteractive-math raw_latex-with-value=\"\u0026amp;quot;\\\\cfrac{\\\\text{Number of selected pieces}}{\\\\text{Total number of pieces}}\u0026amp;quot;\"\u003e\u003c/oppia-noninteractive-math\u003e\u003c/p\u003e\u003cp\u003e\u00a0\u003c/p\u003e\u003cp\u003eThe number of unselected pieces shouldn't appear anywhere. Let's take a look at that again!\u003cbr\u003e\u003c/p\u003e"}, "dest": "Remedial - Numerator and Denominator", "refresher_exploration_id": null, "missing_prerequisite_skill_id": null, "labelled_as_correct": false}, "training_data": [], "rule_specs": [{"rule_type": "Equals", "inputs": {"x": "2/3"}}, {"rule_type": "Equals", "inputs": {"x": "3/2"}}]}, {"tagged_skill_misconception_id": null, "outcome": {"param_changes": [], "feedback": {"content_id": "feedback_5", "html": "\u003cp\u003eOops, make sure to read the question carefully! The answer should be a fraction, not a number. You can type a fraction using the \"/\" -- for example, \"1/4\".\u003cbr\u003e\u003c/p\u003e"}, "dest": "Q5 on N and D", "refresher_exploration_id": null, "missing_prerequisite_skill_id": null, "labelled_as_correct": false}, "training_data": [], "rule_specs": [{"rule_type": "Equals", "inputs": {"x": "3"}}, {"rule_type": "Equals", "inputs": {"x": "2"}}, {"rule_type": "Equals", "inputs": {"x": "5"}}]}, {"tagged_skill_misconception_id": null, "outcome": {"param_changes": [], "feedback": {"content_id": "feedback_6", "html": "\u003cp\u003eOops, make sure to read the question carefully! It's great that you spelled that word correctly, but the question is asking for a \u003cem\u003efraction\u003c/em\u003e as the answer :)\u003cbr\u003e\u003c/p\u003e"}, "dest": "Q5 on N and D", "refresher_exploration_id": null, "missing_prerequisite_skill_id": null, "labelled_as_correct": false}, "training_data": [], "rule_specs": [{"rule_type": "Equals", "inputs": {"x": "Denominator"}}, {"rule_type": "Equals", "inputs": {"x": "Numerator"}}, {"rule_type": "Equals", "inputs": {"x": "denominator"}}, {"rule_type": "Equals", "inputs": {"x": "numerator"}}]}], "default_outcome": {"param_changes": [], "feedback": {"content_id": "default_outcome", "html": "\u003cp\u003eNo, that's not it. You can get this!\u003c/p\u003e"}, "dest": "Q5 on N and D", "refresher_exploration_id": null, "missing_prerequisite_skill_id": null, "labelled_as_correct": false}, "customization_args": {"rows": {"value": 1}, "placeholder": {"value": "Write your fraction as x/y."}}, "confirmed_unclassified_answers": [], "id": "TextInput", "hints": [{"hint_content": {"content_id": "hint_1", "html": "\u003cp\u003eYou'll need to enter your answer as a number, then \"/\", then another number.\u003c/p\u003e\u003cp\u003e\u00a0\u003c/p\u003e\u003cp\u003eFor example, if the numerator is 1 and the denominator is 4, the fraction to type is 1/4.\u003cbr\u003e\u003c/p\u003e"}}, {"hint_content": {"content_id": "hint_2", "html": "\u003cp\u003eRemember, the denominator of a fraction is the number of parts that the \u003cem\u003ewhole\u003c/em\u003e thing is cut into. If you're typing, it's the number on\u00a0the right of the \"/\". For example, the denominator in 2/8 is 8.\u003c/p\u003e"}}]}, "recorded_voiceovers": {"voiceovers_mapping": {"content": {"es": {"file_size_bytes": 366067, "needs_update": false, "filename": "content-es-5ope2fob1d.mp3"}, "hi-en": {"file_size_bytes": 267166, "needs_update": false, "filename": "content-hi-en-ypcygr4e6bq34ahzmx2h85mi.mp3"}}, "feedback_4": {}, "feedback_2": {}, "feedback_3": {}, "feedback_1": {}, "feedback_6": {}, "hint_1": {}, "hint_2": {}, "feedback_5": {}, "default_outcome": {}}}, "classifier_model_id": null, "content": {"content_id": "content", "html": "\u003cp\u003eMr. Baker showed Matthew his napkin drawing again, then asked him a question.\u003c/p\u003e\u003coppia-noninteractive-image alt-with-value=\"\u0026amp;quot;Circle with 2/5 shaded.\u0026amp;quot;\" caption-with-value=\"\u0026amp;quot;\u0026amp;quot;\" filepath-with-value=\"\u0026amp;quot;shaded_fifthsD_height_172_width_216.png\u0026amp;quot;\"\u003e\u003c/oppia-noninteractive-image\u003e\u003cp\u003e\u00a0\u003c/p\u003e\u003cp\u003e\u003cstrong\u003eQuestion 5\u003c/strong\u003e: What fraction of the circle is shown by the \u003cem\u003ewhite\u003c/em\u003e pieces?\u003cbr\u003e\u003c/p\u003e"}, "written_translations": {"translations_mapping": {"content": {}, "feedback_4": {}, "feedback_2": {}, "feedback_3": {}, "feedback_1": {}, "feedback_6": {}, "hint_1": {}, "hint_2": {}, "feedback_5": {}, "default_outcome": {}}}, "solicit_answer_details": false}, "Into the Bakery": {"param_changes": [], "interaction": {"solution": null, "answer_groups": [], "default_outcome": {"param_changes": [], "feedback": {"content_id": "default_outcome", "html": ""}, "dest": "Numerator and Denominator", "refresher_exploration_id": null, "missing_prerequisite_skill_id": null, "labelled_as_correct": false}, "customization_args": {"buttonText": {"value": "Continue"}}, "confirmed_unclassified_answers": [], "id": "Continue", "hints": []}, "recorded_voiceovers": {"voiceovers_mapping": {"content": {"es": {"file_size_bytes": 1275612, "needs_update": false, "filename": "content-es-tgwpja7skis.mp3"}, "hi-en": {"file_size_bytes": 758640, "needs_update": false, "filename": "content-hi-en-u5hw257jm4723cn9nh7x2yb9.mp3"}}, "default_outcome": {}}}, "classifier_model_id": null, "content": {"content_id": "content", "html": "\u003cp\u003eAs Matthew entered the bakery, a kind-looking man looked up from the counter and smiled at him.\u003c/p\u003e\u003coppia-noninteractive-image alt-with-value=\"\u0026amp;quot;Mr. Baker\u0026amp;quot;\" caption-with-value=\"\u0026amp;quot;\u0026amp;quot;\" filepath-with-value=\"\u0026amp;quot;new_baker_height_184_width_156.png\u0026amp;quot;\"\u003e\u003c/oppia-noninteractive-image\u003e\u003cp\u003e\u00a0\u003c/p\u003e\u003cp\u003e\"Hi there!\" he said. \"My name\u2019s Mr. Baker. What would you like today?\"\u003c/p\u003e\u003cp\u003e\"The chocolate cake in the window!\" Matthew answered.\u003c/p\u003e\u003cp\u003e\u201cDo you want all of it?\" asked Mr. Baker.\u003c/p\u003e\u003cp\u003e\"Ummmm.... no,\" said Matthew. He knew how to ask for one or two or three cakes. But he didn\u2019t want the whole cake. He just wanted part of it.\u003c/p\u003e\u003cp\u003e\u201cYou know, you don\u2019t need to buy the whole thing,\u201d Mr. Baker said kindly. \u201cI can cut a small piece for\u00a0you,\u00a0if you like. Just tell me how much. What \u003cstrong\u003efraction\u003c/strong\u003e of the cake would you like?\u201d\u003c/p\u003e"}, "written_translations": {"translations_mapping": {"content": {}, "default_outcome": {}}}, "solicit_answer_details": false}, "Q2 on N and D": {"param_changes": [], "interaction": {"solution": null, "answer_groups": [{"tagged_skill_misconception_id": null, "outcome": {"param_changes": [], "feedback": {"content_id": "feedback_1", "html": "\u003cp\u003eGreat! Let's try another one.\u003c/p\u003e"}, "dest": "Q3 on N and D", "refresher_exploration_id": null, "missing_prerequisite_skill_id": null, "labelled_as_correct": false}, "training_data": [], "rule_specs": [{"rule_type": "Equals", "inputs": {"x": 0}}]}, {"tagged_skill_misconception_id": null, "outcome": {"param_changes": [], "feedback": {"content_id": "feedback_2", "html": "\u003cp\u003eThat's OK, let's look at it again.\u003c/p\u003e"}, "dest": "Numerator and Denominator", "refresher_exploration_id": null, "missing_prerequisite_skill_id": null, "labelled_as_correct": false}, "training_data": [], "rule_specs": [{"rule_type": "Equals", "inputs": {"x": 2}}]}], "default_outcome": {"param_changes": [], "feedback": {"content_id": "default_outcome", "html": "\u003cp\u003eNope, let's look at that again. When talking about numerators and denominators, it doesn't matter which number is bigger or smaller. We only care about whether it's at the top or at the bottom.\u003c/p\u003e"}, "dest": "Remedial - Numerator and Denominator", "refresher_exploration_id": null, "missing_prerequisite_skill_id": null, "labelled_as_correct": false}, "customization_args": {"choices": {"value": ["\u003cp\u003eThe numerator.\u003c/p\u003e", "\u003cp\u003eThe denominator.\u003c/p\u003e", "\u003cp\u003eI can't remember!\u003c/p\u003e"]}}, "confirmed_unclassified_answers": [], "id": "MultipleChoiceInput", "hints": []}, "recorded_voiceovers": {"voiceovers_mapping": {"content": {"hi-en": {"file_size_bytes": 453563, "needs_update": false, "filename": "content-hi-en-7ti730h0sphao2ezo6jxb9be29.mp3"}, "es": {"file_size_bytes": 676027, "needs_update": false, "filename": "content-es-e2k3gys7iuk.mp3"}}, "feedback_2": {}, "feedback_1": {}, "default_outcome": {}}}, "classifier_model_id": null, "content": {"content_id": "content", "html": "\u003cp\u003e\"Very good!\" said Mr. Baker. \"By the way, we can also write the fraction as '4/7', which means the same thing as\u00a0\u003coppia-noninteractive-math raw_latex-with-value=\"\u0026amp;quot;\\\\frac{4}{7}\u0026amp;quot;\"\u003e\u003c/oppia-noninteractive-math\u003e. If you're at a computer, it's easier to type fractions that way. Let's try another question.\"\u003cbr\u003e\u003c/p\u003e\u003cp\u003eMr. Baker wrote \u003coppia-noninteractive-math raw_latex-with-value=\"\u0026amp;quot;\\\\frac{9}{5}\u0026amp;quot;\"\u003e\u003c/oppia-noninteractive-math\u003e\u00a0on a napkin.\u003cbr\u003e\u003c/p\u003e\u003cp\u003e\u003cstrong\u003eQuestion 2:\u003c/strong\u003e\u00a0What is the \"9\" in the fraction \u003coppia-noninteractive-math raw_latex-with-value=\"\u0026amp;quot;\\\\frac{9}{5}\u0026amp;quot;\"\u003e\u003c/oppia-noninteractive-math\u003e?\u003cbr\u003e\u003c/p\u003e\u003cp\u003e\u003c/p\u003e"}, "written_translations": {"translations_mapping": {"content": {}, "feedback_2": {}, "feedback_1": {}, "default_outcome": {}}}, "solicit_answer_details": false}, "Final Card": {"param_changes": [], "interaction": {"solution": null, "answer_groups": [], "default_outcome": null, "customization_args": {"recommendedExplorationIds": {"value": []}}, "confirmed_unclassified_answers": [], "id": "EndExploration", "hints": []}, "recorded_voiceovers": {"voiceovers_mapping": {"content": {"es": {"file_size_bytes": 729119, "needs_update": false, "filename": "content-es-t9cl5jt483p.mp3"}, "hi-en": {"file_size_bytes": 402767, "needs_update": false, "filename": "content-hi-en-frhf4uhp5zxb2ejlgcs68ncdi.mp3"}}}}, "classifier_model_id": null, "content": {"content_id": "content", "html": "\u003cp\u003e\"Congratulations, Matthew!\" said Mr. Baker. \"Here are some cookies for you. You've earned them!\"\u003c/p\u003e\u003coppia-noninteractive-image alt-with-value=\"\u0026amp;quot;Cookies.\u0026amp;quot;\" caption-with-value=\"\u0026amp;quot;\u0026amp;quot;\" filepath-with-value=\"\u0026amp;quot;cookies_height_173_width_360.png\u0026amp;quot;\"\u003e\u003c/oppia-noninteractive-image\u003e\u003cp\u003eMr. Baker smiled as Matthew happily ate his cookies. \"When you're done with those, I have some very interesting things to tell you about fractions. And then ... let's see about getting you some of that chocolate cake to take home!\"\u003c/p\u003e"}, "written_translations": {"translations_mapping": {"content": {}}}, "solicit_answer_details": false}, "Q4 on N and D": {"param_changes": [], "interaction": {"solution": null, "answer_groups": [{"tagged_skill_misconception_id": null, "outcome": {"param_changes": [], "feedback": {"content_id": "feedback_1", "html": "\u003cp\u003eExactly! Let's try another one.\u003c/p\u003e"}, "dest": "Q5 on N and D", "refresher_exploration_id": null, "missing_prerequisite_skill_id": null, "labelled_as_correct": false}, "training_data": [], "rule_specs": [{"rule_type": "IsInRegion", "inputs": {"x": "Region1"}}]}], "default_outcome": {"param_changes": [], "feedback": {"content_id": "default_outcome", "html": "\u003cp\u003eNope, let's look at that again.\u003c/p\u003e"}, "dest": "Remedial - Numerator and Denominator", "refresher_exploration_id": null, "missing_prerequisite_skill_id": null, "labelled_as_correct": false}, "customization_args": {"highlightRegionsOnHover": {"value": true}, "imageAndRegions": {"value": {"labeledRegions": [{"region": {"regionType": "Rectangle", "area": [[0.766725352112676, 0.017262404703450057], [0.983274647887324, 0.9815342744540638]]}, "label": "Region1"}, {"region": {"regionType": "Rectangle", "area": [[0.016725352112676055, 0.012416817418271095], [0.238556338028169, 0.966997512598527]]}, "label": "Region2"}, {"region": {"regionType": "Rectangle", "area": [[0.26672535211267606, 0.012416817418271095], [0.49911971830985913, 0.9960710363096007]]}, "label": "Region3"}, {"region": {"regionType": "Rectangle", "area": [[0.5184859154929577, 0.002725642847913167], [0.7350352112676056, 0.9912254490244218]]}, "label": "Region4"}], "imagePath": "ND4_height_218_width_600.png"}}}, "confirmed_unclassified_answers": [], "id": "ImageClickInput", "hints": []}, "recorded_voiceovers": {"voiceovers_mapping": {"content": {"es": {"file_size_bytes": 253276, "needs_update": false, "filename": "content-es-gv0s5h0j2li.mp3"}, "hi-en": {"file_size_bytes": 143005, "needs_update": false, "filename": "content-hi-en-1ufx00uksjlgfytae9n2sxlxr.mp3"}}, "default_outcome": {}, "feedback_1": {}}}, "classifier_model_id": null, "content": {"content_id": "content", "html": "\u003cp\u003e\u003cstrong\u003eQuestion 4\u003c/strong\u003e:\u00a0Select the fraction in the picture with a denominator of 4, and a numerator of 3.\u003c/p\u003e"}, "written_translations": {"translations_mapping": {"content": {}, "default_outcome": {}, "feedback_1": {}}}, "solicit_answer_details": false}, "Q3 on N and D": {"param_changes": [], "interaction": {"solution": null, "answer_groups": [{"tagged_skill_misconception_id": null, "outcome": {"param_changes": [], "feedback": {"content_id": "feedback_1", "html": "\u003cp\u003eVery good! Let's try another one!\u003c/p\u003e"}, "dest": "Q4 on N and D", "refresher_exploration_id": null, "missing_prerequisite_skill_id": null, "labelled_as_correct": false}, "training_data": [], "rule_specs": [{"rule_type": "Equals", "inputs": {"x": ["\u003cp\u003e\u003coppia-noninteractive-math raw_latex-with-value=\"\u0026amp;quot;\\\\frac{1}{3}\u0026amp;quot;\"\u003e\u003c/oppia-noninteractive-math\u003e\u003cbr\u003e\u003c/p\u003e", "\u003cp\u003e2/3\u003c/p\u003e"]}}]}, {"tagged_skill_misconception_id": null, "outcome": {"param_changes": [], "feedback": {"content_id": "feedback_2", "html": "\u003cp\u003eNo, 3/7 is not correct -- the 3 is in the numerator. Let's take a look at that again.\u003c/p\u003e"}, "dest": "Remedial - Numerator and Denominator", "refresher_exploration_id": null, "missing_prerequisite_skill_id": null, "labelled_as_correct": false}, "training_data": [], "rule_specs": [{"rule_type": "ContainsAtLeastOneOf", "inputs": {"x": ["\u003cp\u003e3/7\u003c/p\u003e"]}}]}, {"tagged_skill_misconception_id": null, "outcome": {"param_changes": [], "feedback": {"content_id": "feedback_3", "html": "\u003cp\u003eNo, \u003coppia-noninteractive-math raw_latex-with-value=\"\u0026amp;quot;\\\\frac{3}{4}\u0026amp;quot;\"\u003e\u003c/oppia-noninteractive-math\u003e\u00a0is not correct -- the 3 is in the numerator. Let's take a look at that again.\u003c/p\u003e"}, "dest": "Remedial - Numerator and Denominator", "refresher_exploration_id": null, "missing_prerequisite_skill_id": null, "labelled_as_correct": false}, "training_data": [], "rule_specs": [{"rule_type": "ContainsAtLeastOneOf", "inputs": {"x": ["\u003cp\u003e\u003coppia-noninteractive-math raw_latex-with-value=\"\u0026amp;quot;\\\\frac{3}{4}\u0026amp;quot;\"\u003e\u003c/oppia-noninteractive-math\u003e\u003cbr\u003e\u003c/p\u003e"]}}]}, {"tagged_skill_misconception_id": null, "outcome": {"param_changes": [], "feedback": {"content_id": "feedback_4", "html": "\u003cp\u003eThat's good, but there are more! Can you find other fractions with a denominator of \"3\"? You can select more than one choice.\u003c/p\u003e"}, "dest": "Q3 on N and D", "refresher_exploration_id": null, "missing_prerequisite_skill_id": null, "labelled_as_correct": false}, "training_data": [], "rule_specs": [{"rule_type": "DoesNotContainAtLeastOneOf", "inputs": {"x": ["\u003cp\u003e\u003coppia-noninteractive-math raw_latex-with-value=\"\u0026amp;quot;\\\\frac{1}{3}\u0026amp;quot;\"\u003e\u003c/oppia-noninteractive-math\u003e\u003cbr\u003e\u003c/p\u003e", "\u003cp\u003e2/3\u003c/p\u003e"]}}]}], "default_outcome": {"param_changes": [], "feedback": {"content_id": "default_outcome", "html": "\u003cp\u003eHmm, let's try that again.\u003c/p\u003e"}, "dest": "Q3 on N and D", "refresher_exploration_id": null, "missing_prerequisite_skill_id": null, "labelled_as_correct": false}, "customization_args": {"maxAllowableSelectionCount": {"value": 4}, "minAllowableSelectionCount": {"value": 1}, "choices": {"value": ["\u003cp\u003e\u003coppia-noninteractive-math raw_latex-with-value=\"\u0026amp;quot;\\\\frac{1}{3}\u0026amp;quot;\"\u003e\u003c/oppia-noninteractive-math\u003e\u003cbr\u003e\u003c/p\u003e", "\u003cp\u003e3/7\u003c/p\u003e", "\u003cp\u003e\u003coppia-noninteractive-math raw_latex-with-value=\"\u0026amp;quot;\\\\frac{3}{4}\u0026amp;quot;\"\u003e\u003c/oppia-noninteractive-math\u003e\u003cbr\u003e\u003c/p\u003e", "\u003cp\u003e2/3\u003c/p\u003e"]}}, "confirmed_unclassified_answers": [], "id": "ItemSelectionInput", "hints": [{"hint_content": {"content_id": "hint_1", "html": "\u003cp\u003eNote that you can select more than one correct answer.\u003c/p\u003e"}}, {"hint_content": {"content_id": "hint_2", "html": "\u003cp\u003eRemember, the denominator comes at the \u003cem\u003ebottom\u003c/em\u003e of the fraction.\u00a0If the fraction is written as \"x/y\", then the denominator is to the right of the \"/\".\u00a0For example:\u003c/p\u003e\u003cp\u003e\u00a0\u003c/p\u003e\u003cp\u003e\u003c/p\u003e\u003cul\u003e\u003cli\u003eIn\u00a0\u003coppia-noninteractive-math raw_latex-with-value=\"\u0026amp;quot;\\\\frac{16}{7}\u0026amp;quot;\"\u003e\u003c/oppia-noninteractive-math\u003e, the denominator is 7.\u003c/li\u003e\u003cli\u003eIn 5/6, the denominator is 6.\u003cbr\u003e\u003c/li\u003e\u003c/ul\u003e\u003cp\u003e\u003c/p\u003e"}}]}, "recorded_voiceovers": {"voiceovers_mapping": {"content": {"es": {"file_size_bytes": 173702, "needs_update": false, "filename": "content-es-su8bb5y8bcg.mp3"}, "hi-en": {"file_size_bytes": 103155, "needs_update": false, "filename": "content-hi-en-4r92atn0m8t4ptaudg0pwlv7vi.mp3"}}, "feedback_4": {}, "feedback_2": {}, "feedback_3": {}, "feedback_1": {}, "hint_1": {}, "hint_2": {}, "default_outcome": {}}}, "classifier_model_id": null, "content": {"content_id": "content", "html": "\u003cp\u003e\u003cstrong\u003eQuestion 3\u003c/strong\u003e: Which of these fractions have \"3\" as the denominator?\u003c/p\u003e"}, "written_translations": {"translations_mapping": {"content": {}, "feedback_4": {}, "feedback_2": {}, "feedback_3": {}, "feedback_1": {}, "hint_1": {}, "hint_2": {}, "default_outcome": {}}}, "solicit_answer_details": false}, "Remedial - Numerator and Denominator": {"param_changes": [], "interaction": {"solution": null, "answer_groups": [], "default_outcome": {"param_changes": [], "feedback": {"content_id": "default_outcome", "html": ""}, "dest": "Remedial 2 - Numerator and Denominator", "refresher_exploration_id": null, "missing_prerequisite_skill_id": null, "labelled_as_correct": false}, "customization_args": {"buttonText": {"value": "Continue"}}, "confirmed_unclassified_answers": [], "id": "Continue", "hints": []}, "recorded_voiceovers": {"voiceovers_mapping": {"content": {"hi-en": {"file_size_bytes": 358563, "needs_update": false, "filename": "content-hi-en-km3kt185cen.mp3"}}, "default_outcome": {}}}, "classifier_model_id": null, "content": {"content_id": "content", "html": "\u003cp\u003e\"Could we go over this again, step by step?\" asked Matthew.\u003c/p\u003e\u003cp\u003e\"Sure!\" said Mr. Baker.\u00a0\"A fraction consists of two parts: a \u003cstrong\u003enumerator\u003c/strong\u003e\u00a0and a \u003cstrong\u003edenominator\u003c/strong\u003e. We usually start by thinking about the denominator first. Let's walk through an example:\u003c/p\u003e\u003coppia-noninteractive-image alt-with-value=\"\u0026amp;quot;Sketch of circle with 3 pieces out of 10 shaded.\u0026amp;quot;\" caption-with-value=\"\u0026amp;quot;\u0026amp;quot;\" filepath-with-value=\"\u0026amp;quot;img_20171021_235955_u585337ku0_height_177_width_187.png\u0026amp;quot;\"\u003e\u003c/oppia-noninteractive-image\u003e\u003cp\u003e\"The\u00a0denominator counts how many equal\u00a0parts the \u003cem\u003ewhole\u003c/em\u003e circle is divided into. In this case, there are 10 equal parts, so the denominator is 10. We always write the denominator on the \u003cem\u003ebottom\u003c/em\u003e, like this:\u003c/p\u003e\u003coppia-noninteractive-image alt-with-value=\"\u0026amp;quot;A fraction showing a question mark over 10.\u0026amp;quot;\" caption-with-value=\"\u0026amp;quot;\u0026amp;quot;\" filepath-with-value=\"\u0026amp;quot;img_20171021_231121_v12o0z38uy_height_91_width_490.png\u0026amp;quot;\"\u003e\u003c/oppia-noninteractive-image\u003e\u003cp\u003e\"Does that make sense? If so, we'll talk about the numerator next.\"\u003c/p\u003e"}, "written_translations": {"translations_mapping": {"content": {}, "default_outcome": {}}}, "solicit_answer_details": false}, "Q1 on N and D": {"param_changes": [], "interaction": {"solution": null, "answer_groups": [{"tagged_skill_misconception_id": null, "outcome": {"param_changes": [], "feedback": {"content_id": "feedback_1", "html": "\u003cp\u003eNot quite. Let's look at it again.\u003c/p\u003e"}, "dest": "Remedial - Numerator and Denominator", "refresher_exploration_id": null, "missing_prerequisite_skill_id": null, "labelled_as_correct": false}, "training_data": [], "rule_specs": [{"rule_type": "Equals", "inputs": {"x": 0}}]}, {"tagged_skill_misconception_id": null, "outcome": {"param_changes": [], "feedback": {"content_id": "feedback_2", "html": "\u003cp\u003eGreat! Let's try another.\u003c/p\u003e"}, "dest": "Q2 on N and D", "refresher_exploration_id": null, "missing_prerequisite_skill_id": null, "labelled_as_correct": false}, "training_data": [], "rule_specs": [{"rule_type": "Equals", "inputs": {"x": 1}}]}], "default_outcome": {"param_changes": [], "feedback": {"content_id": "default_outcome", "html": "\u003cp\u003eThat's OK. Let's look at it again.\u003c/p\u003e"}, "dest": "Numerator and Denominator", "refresher_exploration_id": null, "missing_prerequisite_skill_id": null, "labelled_as_correct": false}, "customization_args": {"choices": {"value": ["\u003cp\u003eThe number of pieces of cake I want.\u003c/p\u003e", "\u003cp\u003eThe number of pieces the whole cake is cut into.\u003c/p\u003e", "\u003cp\u003eI don't remember!\u003c/p\u003e"]}}, "confirmed_unclassified_answers": [], "id": "MultipleChoiceInput", "hints": []}, "recorded_voiceovers": {"voiceovers_mapping": {"content": {"es": {"file_size_bytes": 377246, "needs_update": false, "filename": "content-es-8alct3xmc3g.mp3"}, "hi-en": {"file_size_bytes": 214793, "needs_update": false, "filename": "content-hi-en-isfsyfm9v9xt8rcesqp4g3nmi.mp3"}}, "feedback_2": {}, "feedback_1": {}, "default_outcome": {}}}, "classifier_model_id": null, "content": {"content_id": "content", "html": "\u003cp\u003e\"OK!\" said Mr. Baker. \"Here's a question for you.\"\u003cbr\u003e\u003c/p\u003e\u003cp\u003e\u003cstrong\u003eQuestion 1\u003c/strong\u003e: If we talk about wanting \u003coppia-noninteractive-math raw_latex-with-value=\"\u0026amp;quot;\\\\frac{4}{7}\u0026amp;quot;\"\u003e\u003c/oppia-noninteractive-math\u003e of a cake, what does the 7 represent?\u003c/p\u003e"}, "written_translations": {"translations_mapping": {"content": {}, "feedback_2": {}, "feedback_1": {}, "default_outcome": {}}}, "solicit_answer_details": false}, "Problem": {"param_changes": [], "interaction": {"solution": null, "answer_groups": [], "default_outcome": {"param_changes": [], "feedback": {"content_id": "default_outcome", "html": ""}, "dest": "Into the Bakery", "refresher_exploration_id": null, "missing_prerequisite_skill_id": null, "labelled_as_correct": false}, "customization_args": {"buttonText": {"value": "Continue"}}, "confirmed_unclassified_answers": [], "id": "Continue", "hints": []}, "recorded_voiceovers": {"voiceovers_mapping": {"content": {"es": {"file_size_bytes": 564528, "needs_update": false, "filename": "content-es-l59b9b93uf.mp3"}, "hi-en": {"file_size_bytes": 456800, "needs_update": false, "filename": "content-hi-en-esaliyf5pdj0ma1n2mcjif6r.mp3"}}, "default_outcome": {}}}, "classifier_model_id": null, "content": {"content_id": "content", "html": "\u003cp\u003eMatthew had a problem. His Aunt Tina was visiting that afternoon, and he had nothing for her to eat!\u003c/p\u003e\u003coppia-noninteractive-image alt-with-value=\"\u0026amp;quot;Matthew is feeling Sad.\u0026amp;quot;\" caption-with-value=\"\u0026amp;quot;\u0026amp;quot;\" filepath-with-value=\"\u0026amp;quot;Sad_small_height_142_width_61.png\u0026amp;quot;\"\u003e\u003c/oppia-noninteractive-image\u003e\u003cp\u003e\u201cI could buy some cake!\u201d Matthew thought. He had passed a bakery earlier that day which had a very yummy-looking chocolate cake in the window. That would be perfect!\u003c/p\u003e\u003coppia-noninteractive-image alt-with-value=\"\u0026amp;quot;A bakery shop\u0026amp;quot;\" caption-with-value=\"\u0026amp;quot;\u0026amp;quot;\" filepath-with-value=\"\u0026amp;quot;img_20170804_023625_karrj6fyko_height_350_width_250.png\u0026amp;quot;\"\u003e\u003c/oppia-noninteractive-image\u003e\u003cp\u003e\u00a0\u003c/p\u003e"}, "written_translations": {"translations_mapping": {"content": {}, "default_outcome": {}}}, "solicit_answer_details": false}, "Remedial 2 - Numerator and Denominator": {"param_changes": [], "interaction": {"solution": null, "answer_groups": [], "default_outcome": {"param_changes": [], "feedback": {"content_id": "default_outcome", "html": ""}, "dest": "Q1 on N and D", "refresher_exploration_id": null, "missing_prerequisite_skill_id": null, "labelled_as_correct": false}, "customization_args": {"buttonText": {"value": "Continue"}}, "confirmed_unclassified_answers": [], "id": "Continue", "hints": []}, "recorded_voiceovers": {"voiceovers_mapping": {"content": {"hi-en": {"file_size_bytes": 369201, "needs_update": false, "filename": "content-hi-en-l3c9btyxw3l.mp3"}}, "default_outcome": {}}}, "classifier_model_id": null, "content": {"content_id": "content", "html": "\u003cp\u003e\"To complete the fraction, let's take another look at our picture,\" said Mr. Baker.\u003c/p\u003e\u003coppia-noninteractive-image alt-with-value=\"\u0026amp;quot;A circle divided into tenths, with three pieces shaded.\u0026amp;quot;\" caption-with-value=\"\u0026amp;quot;\u0026amp;quot;\" filepath-with-value=\"\u0026amp;quot;img_20171021_235942_482gqc9qye_height_177_width_187.png\u0026amp;quot;\"\u003e\u003c/oppia-noninteractive-image\u003e\u003cp\u003e\"The\u00a0\u003cem\u003enumerator\u003c/em\u003e\u00a0counts\u00a0how many parts we want. 3 of the 10 pieces are shaded, so 3 is our numerator. This means that the fraction representing the shaded part of the circle is 3/10. Does that make sense?\"\u003c/p\u003e\u003coppia-noninteractive-image alt-with-value=\"\u0026amp;quot;numerator and denominator diagram\u0026amp;quot;\" caption-with-value=\"\u0026amp;quot;\u0026amp;quot;\" filepath-with-value=\"\u0026amp;quot;img_20171021_223040_777eltaqwa_height_123_width_490.png\u0026amp;quot;\"\u003e\u003c/oppia-noninteractive-image\u003e\u003cp\u003eWhen Matthew felt he understood, he nodded.\u003c/p\u003e\u003cp\u003e\"OK,\" said Mr. Baker. \"It's good to practice this until you're sure you know it, so let's try some of those questions again!\"\u003cbr\u003e\u003c/p\u003e"}, "written_translations": {"translations_mapping": {"content": {}, "default_outcome": {}}}, "solicit_answer_details": false}, "Numerator and Denominator": {"param_changes": [], "interaction": {"solution": null, "answer_groups": [], "default_outcome": {"param_changes": [], "feedback": {"content_id": "default_outcome", "html": ""}, "dest": "Q1 on N and D", "refresher_exploration_id": null, "missing_prerequisite_skill_id": null, "labelled_as_correct": false}, "customization_args": {"buttonText": {"value": "CONTINUE"}}, "confirmed_unclassified_answers": [], "id": "Continue", "hints": []}, "recorded_voiceovers": {"voiceovers_mapping": {"content": {"es": {"file_size_bytes": 1506261, "needs_update": false, "filename": "content-es-hd01d0f2u0d.mp3"}, "hi-en": {"file_size_bytes": 993873, "needs_update": false, "filename": "content-hi-en-1qad0l4oh9hzynrur85nx9a4i.mp3"}}, "default_outcome": {}}}, "classifier_model_id": null, "content": {"content_id": "content", "html": "\u003cp\u003eMatthew looked confused.\u003cbr\u003e\u003c/p\u003e\u003cp\u003e\"Ah,\" said Mr. Baker. \"That just means how much of the whole thing do you want. Here, I\u2019ll show you.\u201d He picked up a napkin and a pencil. \u201cLook,\u201d he said, starting to draw.\u003c/p\u003e\u003coppia-noninteractive-image alt-with-value=\"\u0026amp;quot;Sketch of circle divided into fifths.\u0026amp;quot;\" caption-with-value=\"\u0026amp;quot;\u0026amp;quot;\" filepath-with-value=\"\u0026amp;quot;fifthsC_height_172_width_216.png\u0026amp;quot;\"\u003e\u003c/oppia-noninteractive-image\u003e\u003cp\u003e\ufeff\u003cbr\u003e\u003c/p\u003e\u003cp\u003e\u201cHere\u2019s a cake. Pretend it\u2019s divided into five equal parts, OK?\u201d Then he filled in two of the parts.\u003c/p\u003e\u003coppia-noninteractive-image alt-with-value=\"\u0026amp;quot;Sketch of circle with 2/5 shaded.\u0026amp;quot;\" caption-with-value=\"\u0026amp;quot;\u0026amp;quot;\" filepath-with-value=\"\u0026amp;quot;shaded_fifthsC_height_172_width_216.png\u0026amp;quot;\"\u003e\u003c/oppia-noninteractive-image\u003e\u003cp\u003e\"You can call that \u003cem\u003etwo-fifths\u003c/em\u003e. And you write it like this:\u00a0\u003cstrong\u003e\u003coppia-noninteractive-math raw_latex-with-value=\"\u0026amp;quot;\\\\frac{2}{5}\u0026amp;quot;\"\u003e\u003c/oppia-noninteractive-math\u003e\u003c/strong\u003e.\u00a0It means: the whole cake is cut up into \u003cem\u003efive\u003c/em\u003e equal pieces (that\u2019s the number below the line) and you want \u003cem\u003etwo\u003c/em\u003e of those pieces (the number on top). We call the top number the\u00a0\u003cstrong\u003enumerator\u003c/strong\u003e, and the bottom number the\u00a0\u003cstrong\u003edenominator\u003c/strong\u003e.\"\u003cbr\u003e\u003c/p\u003e\u003coppia-noninteractive-image alt-with-value=\"\u0026amp;quot;numerator and denominator diagram\u0026amp;quot;\" caption-with-value=\"\u0026amp;quot;\u0026amp;quot;\" filepath-with-value=\"\u0026amp;quot;NDb_height_151_width_600.png\u0026amp;quot;\"\u003e\u003c/oppia-noninteractive-image\u003e\u003cp\u003e\"Now let's see if you understand that!\" said Mr. Baker. \"Are you ready?\"\u003c/p\u003e"}, "written_translations": {"translations_mapping": {"content": {}, "default_outcome": {}}}, "solicit_answer_details": false}}, "param_specs": {}, "title": "What is a Fraction? 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