Question

Simplify:$7\frac{1}{3}÷\frac{2}{3}\text{of}2\frac{1}{5}+1\frac{3}{8}÷2\frac{3}{4}-1\frac{1}{2}$

Answer 1

Using BODMAS, we can solve the given expression.

$7\frac{1}{3}÷\frac{2}{3}\text{of}2\frac{1}{5}+1\frac{3}{8}÷2\frac{3}{4}-1\frac{1}{2}$

$=\frac{22}{3}÷\frac{2}{3}\times \frac{11}{5}+\frac{11}{8}÷\frac{11}{4}-\frac{3}{2}$

$=\frac{22}{3}\times \frac{3}{2}\times \frac{11}{5}+\frac{11}{8}\times \frac{4}{11}-\frac{3}{2}$

$=11\times \frac{11}{5}+\frac{1}{2}-\frac{3}{2}$

$=\frac{121}{5}-1$

$=\frac{121-5}{5}$

$=\frac{116}{5}$

$=23\frac{1}{5}$

Hence, $7\frac{1}{3}÷\frac{2}{3}\text{of}2\frac{1}{5}+1\frac{3}{8}÷2\frac{3}{4}-1\frac{1}{2}=23\frac{1}{5}$