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    Simplify 1898 ÷ [ 134\frac{13}4413​​× (35 + 45) - 914\frac{91}4491​​]
    Question

    Simplify
    1898 ÷ [ 134\frac{13}4​× (35 + 45) - 914\frac{91}4​]

    A.

    4

    B.

    8

    C.

    12

    D.

    16

    Correct option is B

    Given:
    Simplify 1898÷[134×(35+45)914]1898 \div \left[\frac{13}{4} \times (35 + 45) - \frac{91}{4}\right]

    Formula Used:

    BODMAS

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

    Solution:

    1898÷[134×(35+45)914]1898 \div \left[\frac{13}{4} \times (35 + 45) - \frac{91}{4}\right]

    =1898÷[134×80914]=1898 \div \left[\frac{13}{4} \times 80 - \frac{91}{4}\right]

    ​​​=1898÷[260914]=1898 \div \left[260 - \frac{91}{4}\right]

    =1898÷[9494]=1898 \div \left[\frac{949}{4}\right]

    = 1898 ×\times 4949\frac{4}{949}

    7592949\frac{7592}{949}

    = 8

    Thus, the correct option is (b) 8

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