Question

Simplify:-

$(22 \div 5 \frac{1}{2}) \div2 \frac{1}{5} \: of \: 3 \frac{1}{3} + 1 \frac{5}{11}$
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Answer 1

Step-by-step explanation:

Answer:-

Follow the BODMAS rule,

$(22 \div 5 \frac{1}{2} ) \div 2 \frac{1}{5} of3 \frac{1}{3} + 1 \frac{1}{5} \\ = (22 \div \frac{11}{2} ) \div \frac{11}{5} of \frac{10}{3} + \frac{6}{5} \\ = (22 \times \frac{2}{11} ) \div \frac{11}{5} of \frac{10}{3} + \frac{6}{5} \\ = (2 \times 2) \div \frac{11}{5} of \frac{10}{3} + \frac{6}{5} \\ = 4 \div \frac{11}{5} \times \frac{10}{3} + \frac{6}{5} = 4 \div \frac{22}{3} + \frac{6}{5}$

$= 4 \div \frac{22}{3} + \frac{6}{5} \\ = 4 \times \frac{3}{22} + \frac{6}{5} \\ = 2 \times \frac{3}{11} + \frac{6}{5} = \frac{6}{11} + \frac{6}{5} \\ = \frac{30 + 66 }{55} = \frac{96}{55}$