Question 106

Simplify and write the result in decimal form:
$(1 \div \frac{2}{9}) + (1 \div 3 \frac{1}{5}) + (1 \div 2 \frac{2}{3})$

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Solution

Given
$(1 \div \frac{2}{9}) + (1 \div 3 \frac{1}{5}) + (1 \div 2 \frac{2}{3}) = (1 \div \frac{2}{9}) + (1 \div \frac{(5 \times 3) + 1}{5}) + (1 \div \frac{(2 \times 3) + 2}{3}) = (1 \times \frac{9}{2}) + (1 \div \frac{16}{5}) + (1 \div \frac{8}{3}) = (1 \times \frac{9}{2}) + (1 \times \frac{5}{16}) + (1 \times \frac{3}{8}) = \frac{9}{2} + \frac{5}{16} + \frac{3}{8} = \frac{72 + 5 + 6}{16} \frac{83}{16} = 5.1875$

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Similar questions

(1 \div \frac{2}{9}) + (1 \div 3 \frac{1}{5}) + (1 \div 2 \frac{2}{3})

\frac{1}{3}

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5^{3} \times 5^{- 1} \times 25^{2}

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Simplify

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