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3 votes
If a/b = c/d then show that a/b+a = c/d+c ?​

1 Answer

4 votes


\frac a b = \frac c d

Cross multiply,


ad = bc

Add ac to both sides,


ad + ac = bc + ac

Factor,


a(d+c) = c(b+a)

Divide by (b+a)(d+c),


(a)/(b+a) = (c)/(d+c) \quad\checkmark

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User Rafal
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