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If the numerator of a fraction is increased by 140 % and the denominator is increased by 150 % the resultant fraction is 4/15 what is the original fraction?

Correct answer: D. None of these

  • A. 3/5
  • B. 5/16
  • C. 2/9
  • D. None of these

Explanation

Increasing the numerator by 140% multiplies it by 2.4, while increasing the denominator by 150% multiplies it by 2.5. Thus the original fraction is (4/15) × (2.5/2.4) = (4/15) × (25/24) = 5/18, which is not among the listed fractions. A student may choose a, 3/5, by reversing the percentage multipliers or treating the increases as additive changes to the fraction itself.

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