When the numerator of a fraction is increased by 20% and its denominator is decreased by 25%, the new fraction is 4/5. The original fraction is:

Question

Accepted Answer

1/2. The new fraction is (1.20n)/(0.75d) = 1.6 × (n/d). So 1.6 × (n/d) = 4/5 → n/d = (4/5)/1.6 = 1/2. (Check with 1/2: the numerator becomes 1.2 and the denominator 1.5, and 1.2/1.5 = 4/5.)

When the numerator of a fraction is increased by 20% and its denominator is decreased by 25%, the new fraction is 4/5. The original fraction is:

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