Simplify the following expression. \frac{3}{5}+2 \frac{2}{5} \div[(\frac{7}{8}-\frac{3}{4}) \times 4-6 \frac{2}{3} \div \frac{4}{3}] \times \frac{1}{3}

SSC CHSL 6 Aug 2021 Shift 1 Paper

Section: Quantitative Aptitude

Question : 61 of 100

Marks: +1, -0

Simplify the following expression.

\;{3}/{5}+2 \;{2}/{5} ÷[(\;{7}/{8}-\;{3}/{4}) × 4-6 \;{2}/{3} ÷ \;{4}/{3}] × \;{1}/{3}

Solution:

Given,

\;{3}/{5}+2 \;{2}/{5} ÷[(\;{7}/{8}-\;{3}/{4}) × 4-6 \;{2}/{3} ÷ \;{4}/{3}] × \;{1}/{3}

Solving by BODMAS rule,

\;\; =\;{3}/{5}+\;{12}/{5} ÷[\;{7-6}/{8} × 4-\;{20}/{3} × \;{3}/{4}] × \;{1}/{3}

\;\; =\;{3}/{5}+\;{12}/{5} ÷[\;{1}/{8} × 4-5] × \;{1}/{3}

\;\; =\;{3}/{5}+\;{12}/{5} ÷[\;{1-10}/{2}] × \;{1}/{3}

\;\; =\;{3}/{5}+\;{12}/{5} × \;{-2}/{9} × \;{1}/{3}

\;\; =\;{3}/{5}-\;{8}/{45}=\;{27-8}/{45}=\;{19}/{45}

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