Question

The denominator of a fraction is one more than twice the numerator. If both numerator and denominator are increased by seven, the simplified result is 5/8

. Find the original fraction. (Do NOT simplify.)

Answer 1

8/17

Explanation:

Original fraction: x/(2x + 1)

New fraction: (x + 7)/(2x + 8) = 5/8

(x + 7)/(2x + 8) = 5/8

8(x + 7) = 5(2x + 8)

8x + 56 = 10x + 40

-2x = -16

x = 8

Original fraction: x/(2x + 1) = 8/(2 × 8 + 1) = 8/17