Question

m-1/2
$\div$
1+1/2m=1

​

Answer 1

Simplify:

Step-by-step explanation:

$\ Given \ value: \\\\(\ m- \frac{1}{2} )\div (1+ \frac{1}{2}m )=1\\\\ \ Solution: \\\\\rightarrow (\ m- \frac{1}{2} )\div (1+ \frac{1}{2}m) =1\\\\\rightarrow (\frac{2m-1}{2} )\div (\frac{2+m}{2}) =1\\\\\rightarrow (\frac{2m-1}{2} )\times (\frac{2}{2+m}) =1\\\\\rightarrow \frac{2m-1}{2} \times \frac{2}{2+m} =1\\\\\rightarrow \frac{2m-1}{1} \times \frac{1}{2+m} =1\\\\\rightarrow \frac{2m-1}{2+m} =1\\\\\rightarrow 2m-1=2+m\\\\\rightarrow 2m-m=1+2\\\\\rightarrow m=3$

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