Question 31

The value of $$\ \frac{\ \ \frac{\ 1}{2}divided\ by\ \frac{\ 1}{2}of\ \ \frac{\ 1}{2}}{\ \frac{\ 1}{2}+\ \frac{\ 1}{2}of\ \ \frac{\ 1}{2}}$$

Solution

We always follow BODMAS 
Now first taking numerator 
which $$\frac{1}{2}divided\ by\ \frac{1}{2\ }\ of\ \frac{1}{2}$$
so we get $$\frac{\frac{1}{2}}{\frac{1}{2}}\times\ \frac{1}{2}=\frac{1}{2}$$
Now taking denominator we get $$\frac{1}{2}+\frac{1}{2}\times\ \frac{1}{2}=\frac{3}{4}$$
Taking ratio 
we get : $$\frac{\frac{1}{2}}{\frac{3}{4}}=\frac{2}{3}$$


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