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The value of​46+16+412+36−1=\tfrac{4}{6}+\tfrac{1}{6}+\tfrac{4}{12} +\tfrac{3}{6}-1=64​+61​+124​+63​−1=​​
Question

The value of

46+16+412+361=\tfrac{4}{6}+\tfrac{1}{6}+\tfrac{4}{12} +\tfrac{3}{6}-1=​​

A.

112-\tfrac{1}{12}​​

B.

1512\tfrac{15}{12}​​

C.

812\tfrac{8}{12}​​

D.

712\tfrac{7}{12}​​

Correct option is C

Given:

46+16+412+361=\tfrac{4}{6}+\tfrac{1}{6}+\tfrac{4}{12}+\tfrac{3}{6}-1=​​

Formula Used:

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:

46+16+412+361\tfrac{4}{6}+\tfrac{1}{6}+\tfrac{4}{12}+\tfrac{3}{6}-1​​

8+2+4+6121\tfrac{8+2+4+6}{12} - 1​​

=20121= \tfrac{20}{12} -1​​

=201212= \tfrac{20-12}{12}​​

=812=\tfrac{8}{12}​​

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