SOLUTION: The difference between two fractions is 1/8. One fraction is 2/3 of the other. Find the fractions.

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Question 745676: The difference between two fractions is 1/8. One fraction is 2/3 of the other. Find the fractions.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Fractions or otherwise, say h and k.
k-h=1%2F8 and %282%2F3%29%2Ak=h

8%28k-h%29=1 and try substitution of h from the second equation.
8%28k-%282%2F3%29%2Ak%29=1
8k-16k%2F3=1
24k-16k=3
8k=3
highlight%28k=3%2F8%29

h=%282%2F3%29%2A%283%2F8%29=2%2A3%2F%283%2A8%29=2%2F8=1%2F4
highlight%28h=1%2F4%29