Question

2) Simplify

8) $\frac{6}{11}÷1\frac{2}{11}$

Answer 1

Step 1:Convert the mixed fraction into simple fraction.

Given fraction is $\frac{6}{11}÷1\frac{2}{11}$

⇒ $\frac{6}{11}÷\frac{1\times 11+2}{11}=\frac{6}{11}÷\frac{13}{11}$

Convert division into multiplication by taking reciprocal of $\frac{13}{11}$i.e. $\frac{11}{13}$

⇒ $\frac{6}{11}\times \frac{11}{13}$

Step 2:- Simplify the solution

$\frac{6\times 11}{11\times 13}=\frac{6}{13}$

Therefore,the value of $\frac{6}{11}÷1\frac{2}{11}=\frac{6}{13}$ .