given-a-b-c-d-find-an-expression-for-a-a-b-

Question Number 163014 by MathsFan last updated on 03/Jan/22

g i v e n \frac{a}{b} = \frac{c}{d}, f i n d a n e x p r e s s i o n

f o r \frac{a}{a + b}

Answered by som(math1967) last updated on 03/Jan/22

\frac{b}{a} + 1 = \frac{d}{c} + 1

\frac{a + b}{a} = \frac{c + d}{c}

∴ \frac{a}{a + b} = \frac{c}{c + d}

Commented by MathsFan last updated on 04/Jan/22

t h a n k y o u s i r

Answered by Rasheed.Sindhi last updated on 03/Jan/22

\frac{a}{b} = \frac{c}{d} \Rightarrow b = \frac{a d}{c}

\frac{a}{a + b} = \frac{a}{a + \frac{a d}{c}} = \frac{a}{a (1 + \frac{d}{c})} = \frac{1}{\frac{c + d}{c}} = \frac{c}{c + d}

Commented by MathsFan last updated on 04/Jan/22

m e r c i