The denominator of a fraction is 3 more than the numerator. If both the numerator and the denominator are decreased by 2, the resulting fraction is equivalent to 8/11. Find the fraction

Question

Mathematics

Renee Chambers

11 August, 13:51

The denominator of a fraction is 3 more than the numerator. If both the numerator and the denominator are decreased by 2, the resulting fraction is equivalent to 8/11. Find the fraction

+1

Answers (1)

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Isiah Lowery · Answer 1

(-6) / (-9)

Step-by-step explanation:

D = 3+N

(D - 2) / (N - 2) = (N + 3 - 2) / (N - 2) = 8 / 11

8 (N - 2) = 11 (N + 1)

8N - 16 = 11N + 11

3N = - 27

N = - 9

D = - 6

D / N = - 6/-9 = 2/3