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What should come in place of question mark ‘?’ in the following question? \(\left( {\frac{1}{{15}} + 1 - \frac{9}{{10}}} \right) \div \left( {\frac{4}{5}\;of\;\frac{3}{2}} \right) = ?\)

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What should come in place of question mark ‘?’ in the following question?

\(\left( {\frac{1}{{15}} + 1 - \frac{9}{{10}}} \right) \div \left( {\frac{4}{5}\;of\;\frac{3}{2}} \right) = ?\)


1). 1/9
2). 5/36
3). 1/18
4). 5/16


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Answered by on | Votes 0 |

$(\begin{array}{l} \left( {\frac{1}{{15}} + 1 - \frac{9}{{10}}} \right) \div \left( {\frac{4}{5}\;of\;\frac{3}{2}} \right)\\ = \left( {\frac{1}{{15}} + 1 - \frac{9}{{10}}} \right) \div \left( {\frac{4}{5} \times \frac{3}{2}} \right)\\ = \left( {\frac{1}{{15}} + 1 - \frac{9}{{10}}} \right) \div \frac{6}{5}\\ = \frac{{2 + 30 - 9 \times 3}}{{30}} \div \frac{6}{5}\\ = \frac{5}{{30}} \div \frac{6}{5}\\ = \frac{5}{{30}} \times \frac{5}{6} \end{array})$

= 5/36

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