SOLUTION: Please help me! The denominator of a fraction is by 3 larger than the numerator. If the numerator is increased by 5, the fraction becomes 5/4. Find the fraction. Thank You for

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Question 74279: Please help me!
The denominator of a fraction is by 3 larger than the numerator. If the numerator is increased by 5, the fraction becomes 5/4. Find the fraction.
Thank You for any help you can give me.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Let n=numerator, d=denominator
d=3n"denominator of a fraction is (=) by 3 larger than the numerator
%28n%2B5%29%2Fd=5%2F4If you add 5 to the numerator you get 5/4
4%28n%2B5%29=5dMultiply both sides by 4d
4%28n%2B5%29=5%283n%29Plug in 3n for d
4n%2B20=15nSolve for n
20=11n
n=20%2F11
So the denominator is
d=3%2820%2F11%29
d=60%2F11


Check:
%28%2820%2F11%29%2B5%29%2F%2860%2F11%29
%28%2820%2F11%29%2B%2855%2F11%29%29%2F%2860%2F11%29
%2875%2F11%29%2F%2860%2F11%29
%2875%2Fcross%2811%29%29%28cross%2811%29%2F60%29
%2875%2F60%29
%2875%2F60%29%2A%28%281%2F15%29%2F%281%2F15%29%29
5%2F4Works