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I just figured out the answer to my problem. if x = y then no matter what these numbers of this second fraction are it will be 1. A number divided by itself = 1. So 5-1 = 4 and that's exactly what I need as the denominator by which to divide the numerator in order to get 1.

Please merge if the topic already exists. I couldn't find it. Thank you.

If \(\frac{4}{5-a/b}=1\) which of the following must be true?

(A) a= 0 (B) b= 0 (C) a=1 (D) b=1 (E) a=b

\(\frac{4}{5-a/b}=1\) ..... fraction can be 1 when numerator and denominator are equal, so \(4 = 5- \frac{a}{b}\)..........\(\frac{a}{b} = 5-4 = 1........a=b\) E
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