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Evaluate:​(317+437)+76\left(3\frac{1}{7} + 4\frac{3}{7}\right) + \frac{7}{6}(371​+473​)+67​​​
Question

Evaluate:

(317+437)+76\left(3\frac{1}{7} + 4\frac{3}{7}\right) + \frac{7}{6}​​

A.

36742\frac{367}{42}​​

B.

43242\frac{432}{42}​​

C.

26742\frac{267}{42}​​

D.

34242\frac{342}{42}​​

Correct option is A

Given:

(317+437)+76\left(3\frac{1}{7} + 4\frac{3}{7}\right) + \frac{7}{6}

Concept Used: 

BODMAS rule:

Operation preference wiseSymbolBrackets[],,()Orders,of²(power),(root),ofDivision÷Multiplication×Addition+Subtraction\begin{array}{|c|c|} \hline \textbf{Operation preference wise} & \textbf{Symbol} \\ \hline Brackets &[],{}, () \\ \hline Orders, of & ² (power), √ (root) , of \\ \hline Division & ÷ \\ \hline Multiplication & × \\ \hline Addition & + \\ \hline Subtraction & - \\ \hline \end{array} ​​

Solution:

(317+437)+76\left(3\frac{1}{7} + 4\frac{3}{7}\right) + \frac{7}{6}

(227+317)\left(\frac{22}{7} +\frac{31}{7}\right) +76+ \frac{7}{6}

537\frac{53}{7} +76+ \frac{7}{6}

318+4942\frac{318+49}{42}

=36742\frac{367}{42}

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