Simplify the expression 441 \div[270 \div \frac{3}{7} +(17 \div \frac{1}{3})-(8 \frac{1}{2}-\frac{5}{2})]

SSC CGL 18 Aug 2021 Shift 3 Paper

Question : 53 of 100

Marks: +1, -0

Simplify the expression

441 ÷[270 ÷ \;{3}/{7}

+(17 ÷ \;{1}/{3})-(8 \;{1}/{2}-\;{5}/{2})]

Solution:

441 ÷[270 ÷ \;{3}/{7}+(17 ÷ \;{1}/{3})-

=441 ÷[270 × \;{7}/{3}+(17 × 3)-(8 \;{1}/{2}-\;{5}/{2})]

(\;{17}/{2}-\;{5}/{2})]

\;\; =441 ÷[90 × 7+51-\;{(17-5)}/{2}]

\;\; =441 ÷[630+51-\;{12}/{2}]

\;\; =441 ÷[630+51-6]=441 ÷[675]

\;\; =\;{441}/{675}=\;{49}/{75}

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