Question

Simplify$:$ $\frac{11}{9}$ $÷$$\frac{22}{3}$of $\frac{15}{8}$

Answer 1

Step 1 : Replace the word ‘ of ’ with the sign ‘ $\times$ ’ and do multiplication

$\frac{22}{3}$$\times$ $\frac{15}{8}$ $=$$\frac{22\times 15}{3\times 8}$ $=$$\frac{330}{24}$

$\frac{11}{9}$ $÷$ $\frac{22}{3}$of $\frac{15}{8}$$=$$\frac{11}{9}$$÷$$\frac{330}{24}$

Step 2: Write the reciprocal of the second fraction ( that one you want to divide by ) with the sign of multiplication (×) and do multiplication

$\frac{11}{9}$$\times$$\frac{24}{330}$ $=$$\frac{11\times 24}{9\times 330}$ $=$$\frac{264}{2970}$

Step 3: Simplify the fraction

$\frac{264}{2970}$ $=$$\frac{264÷66}{2970÷66}$ $=$$\frac{4}{45}$

Hence$,$ $\frac{11}{9}$ $÷$$\frac{22}{3}$of $\frac{15}{8}$ $=$$\frac{4}{45}$.