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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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