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​Solve the following.(27×−35−112−35×47)×7(\frac{2}{7}×\frac{-3}{5}-\frac{1}{12}-\frac{3}{5}×\frac{4}{7})×7(72​×5−3​−121​−53​×74​)×7 ?​
Question

Solve the following.

(27×3511235×47)×7(\frac{2}{7}×\frac{-3}{5}-\frac{1}{12}-\frac{3}{5}×\frac{4}{7})×7 ?

A.

251420\frac{-251}{420}​​

B.

251209\frac{-251}{209}​​

C.

25160\frac{-251}{60}​​

D.

251210\frac{-251}{210}​​

Correct option is C

Given:
(27×3511235×47)×7(\frac{2}{7}×\frac{-3}{5}-\frac{1}{12}-\frac{3}{5}×\frac{4}{7})×7

Concept Used:

Operation preference wiseSymbolBrackets[],,()Orders,ofx(power),(root),ofDivision÷Multiplication×Addition+Subtraction\begin{array}{|c|c|} \hline \textbf{Operation preference wise} & \textbf{Symbol} \\ \hline Brackets &[],{}, () \\ \hline Orders, of & ^x(power), √ (root) , of \\ \hline Division & ÷ \\ \hline Multiplication & × \\ \hline Addition & + \\ \hline Subtraction & - \\ \hline \end{array}

Solution:


(27×3511235×47)×7 =(6351121235)×7 =(7235144)420×7 =251420×7 =25160(\frac{2}{7}×\frac{-3}{5}-\frac{1}{12}-\frac{3}{5}×\frac{4}{7})×7\\\ \\=(\frac{-6}{35}-\frac{1}{12}-\frac{12}{35})×7\\\ \\=\frac{(-72 - 35-144)}{420} \times 7 \\\ \\=\frac{-251}{420}\times 7 \\\ \\=\frac{-251}{60}​​

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