Project Euler Problem57. Using Rational.

def root2_series
  (1..1000).inject( [3/2r] ) do |result, i|
    result << 1 + 1 / (result.last + 1)
  end
end

def bigger_numerators
  root2_series.select do |term|
    term.numerator.to_s.size > term.denominator.to_s.size
  end
end

p bigger_numerators.size