The numerator of a fraction is 4 less than its denominator. If the numerator is decreased by 2 and the denominator increased by 1, the denominator becomes eight times the numerator. Find the fraction.
A3/7 ✓ Correct
B3/9
C3/8
D2/7
Correct answer: (A) 3/7
Explanation
The fraction is 3/7.
Let the denominator be d, so the numerator is d - 4.
After the change: d + 1 = 8(d - 6).
d + 1 = 8d - 48, so 7d = 49 and d = 7.
Numerator = 7 - 4 = 3, giving the fraction 3/7.
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