SOLUTION: Solve What number must be added to the numerator and subtracted from the denominator of 1/2 to produce a fraction equivalent to -8/7?

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Question 1034635: Solve
What number must be added to the numerator and subtracted from the denominator of 1/2 to produce a fraction equivalent to -8/7?
Found 2 solutions by fractalier, sachi:
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Call the number x...then we write
%281%2Bx%29%2F%282-x%29+=+-8%2F7
Now cross-multiply and solve
7(1+x) = -8(2-x)
7 + 7x = -16 + 8x
23 = x

Answer by sachi(548) About Me  (Show Source):
You can put this solution on YOUR website!
let the no be x
so 1+x/2-x=-8/7
7(1+x)=-8(2-x)
or x=23
ans