Simplify the following expression : \frac{7}{12} \div \frac{1}{10} of \frac{2}{3}-\frac{5}{3} \times \frac{9}{10}+\frac{5}{8} \div \frac{3}{4} of \frac{2}{3}

SSC CGL 24 Aug 2021 Shift 2 Paper

Question : 53 of 100

Marks: +1, -0

Simplify the following expression :

\;{7}/{12} ÷ \;{1}/{10}

\;{2}/{3}-\;{5}/{3} × \;{9}/{10}+\;{5}/{8} ÷ \;{3}/{4}

\;{2}/{3}

Solution:

\;{7}/{12} ÷ \;{1}/{10}

\;{2}/{3}-\;{5}/{3} × \;{9}/{10}+\;{5}/{8} ÷ \;{3}/{4}

\;{2}/{3}

=\;{7}/{12} ÷(\;{1}/{10} × \;{2}/{3})-\;{5}/{3}

\;\;\; × \;{9}/{10}+\;{5}/{8} ÷(\;{3}/{4} × \;{2}/{3})

\;\; =\;{7}/{12} ÷ \;{1}/{15}-\;{3}/{2}+\;{5}/{8} ÷ \;{1}/{2}

\;\; =\;{7}/{12} × 15-\;{3}/{2}+\;{5}/{8} × 2

\;\; =\;{7 × 5}/{4}-\;{3}/{2}+\;{5}/{4}

\;\; =\;{35-6+5}/{4}=\;{34}/{4}=\;{17}/{2}

\;\; =\;{17}/{2} \;\text " or "\; 8 \;{1}/{2}

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