Question

Simplify-
7 1/3 ÷ 2/3 of 2 1/5 + 1 3/8 ÷ 2 3/4 - 1 1/2​

Answer 1

$25.4 \: or \: 25 \frac{4}{10}$

Step-by-step explanation:

$7 \frac{1}{3} \div \frac{2}{3} \: of \: 2 \frac{1}{5} + 1 \frac{3}{8} \div 2 \frac{3}{4} - 1 \frac{1}{2} \\ = \frac{22}{3} \div \frac{2}{3} \: of \: \frac{11}{5} + \frac{11}{8} \div \frac{11}{4} - \frac{3}{2}$

$= \frac{22}{3} \times \frac{3}{2} \: of \: \frac{11}{5} + \frac{11}{8} \times \frac{4}{11} - \frac{3}{2} \\ = \frac{22}{3} \times \frac{33}{10} + \frac{11}{8} \times \frac{4}{11} - \frac{3}{2} \\ = \frac{132}{5} + \frac{1}{2} - \frac{3}{2} \\ = \frac{132}{5} + \frac{ - 2}{2} \\ = \frac{264}{10} - \frac{ 10}{10} \\ = \frac{254}{10} \\ = 25.4 \: or \: 25 \frac{4}{10}$