SOLUTION: If the numerator of a fraction is increased by 3, the fraction becomes 3/4. If the denominator is decreased by 7, the fraction becomes 1. Find the original fraction.

Question 1096840: If the numerator of a fraction is increased by 3, the fraction becomes 3/4. If the denominator is decreased by 7, the fraction becomes 1. Find the original fraction.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
If the numerator of a fraction is increased by 3, the fraction becomes 3/4.
If the denominator is decreased by 7, the fraction becomes 1.
Find the original fraction
"
= original fraction
"If the numerator of a fraction is increased by 3, the fraction becomes 3/4."
=
Cross multiply
4(n+3) = 3d
4n + 12 = 3d
:
"If the denominator is decreased by 7, the fraction becomes 1."

Cross multiply
1n = d - 7
n = (d-7)
In the 1st equation replace n with d-7
4(d-7) + 12 = 3d
4d - 28 + 12 = 3d
4d - 3d - 16 = 0
d = 16 is the denominator
then
n = 16 - 7
n = 9
:
= the original equation
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