If the numerator and denominator of a fraction are each increased by 7, the fraction becomes 2/3. Find the original fraction.

A4/5

B3/5

C3/8 ✓ Correct

D5/3

Correct answer: (C) 3/8

Explanation

The original fraction is 3/8.

Let the fraction be n/d with (n + 7)/(d + 7) = 2/3.

Cross multiply: 3(n + 7) = 2(d + 7), so 3n + 21 = 2d + 14.

This gives 2d - 3n = 7.

Testing n = 3, d = 8: (3 + 7)/(8 + 7) = 10/15 = 2/3.

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