SOLUTION: In a certain​ fraction, the denominator is 9 less than the numerator. If 4 is added to both the numerator and​ denominator, the resulting fraction is equal to 5/2. Fi

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Question 1041894: In a certain​ fraction, the denominator is 9 less than the numerator. If 4 is added to both the numerator and​ denominator, the resulting fraction is equal to 5/2.
Find the original fraction.
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
The fraction, unknown, n%2Fd.

system%28d=n-9%2C%28n%2B4%29%2F%28d%2B4%29=5%2F2%29, according to description.

2%28n%2B4%29=5%28d%2B4%29

2n%2B8=5d%2B20

2n%2B8=5%28n-9%29%2B20

2n%2B8=5n-45%2B20

8=3n-45%2B20

3n=8%2B45-20

3n=45-12

3n=33

highlight%28n=11%29
d=n-9
d=11-9
highlight%28d=2%29

Certain Fraction is highlight_green%28highlight%2811%2F2%29%29.