The numerator of a fraction is decreased by 25% and the denominator is increased by 250%. If the resultant fraction is \(\frac{6}{5}\), what is the original fraction?

22/5
24/5
28/5
30/5

Correct answer: 28/5

Solution

If the original fraction is x/y, then the new fraction becomes (3x/4)/(7y/2) = 3x/14y. This is given as 6/5, so 3x/14y = 6/5. Solving gives x/y = 28/5.

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