The denominator of a fraction is greater than its numerator by 9. If 7 is subtracted from both its numerator and denominator, the new fraction equals 2/3. What is the original fraction?

3 answers

original numerator --- x
original denominator -- x+9

new numerator --- x-7
new denominator --- x+9-7 = x+2

(x-7)/(x+2) = 2/3
3x - 21 = 2x + 4
x = 25

original fraction = 25/34

new fraction (take 7 away from both
= 18/27
= 2/3
YEahh

Thx u very much!

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