Simplify the following expression. (\frac{7}{16} \div \frac{1}{2} of \frac{1}{5}) \times \frac{4}{5}-\frac{1}{3} \times \frac{5}{8} \div \frac{1}{2}+\frac{3}{4}

SSC CGL 17 Aug 2021 Shift 3 Paper

Question : 70 of 100

Marks: +1, -0

Simplify the following expression.

(\;{7}/{16} ÷ \;{1}/{2}

\;{1}/{5}) × \;{4}/{5}-\;{1}/{3} × \;{5}/{8} ÷ \;{1}/{2}+\;{3}/{4}

Solution:

(\;{7}/{16} ÷ \;{1}/{2}

\;{1}/{5}) × \;{4}/{5}-\;{1}/{3} × \;{5}/{8} ÷ \;{1}/{2}+\;{3}/{4}

=[\;{7}/{16} ÷(\;{1}/{2} × \;{1}/{5})] × \;{4}/{5}-\;{1}/{3} ×(\;{5}/{8} × 2)+\;{3}/{4}

=[\;{7}/{16} ÷ \;{1}/{10}] × \;{4}/{5}-\;{1}/{3} × \;{10}/{8}+\;{3}/{4}

=\;{7}/{16} × 10 × \;{4}/{5}-\;{5}/{12}+\;{3}/{4}

=\;{7}/{2}-\;{5}/{12}+\;{3}/{4}=\;{42-5+9}/{12}=\;{46}/{12}=\;{23}/{6}

Go to Question:

Prev Question

Next Question