Simplify: $\frac{41}{3}-[\frac{17}{4}-( \frac{51}{4}\times\frac{21}{2})]$.

Given: $\frac{41}{3}-[\frac{17}{4}-( \frac{51}{4}\times\frac{21}{2})]$.

To do: To simplify: $\frac{41}{3}-[\frac{17}{4}-( \frac{51}{4}\times\frac{21}{2})]$.

Solution:

$\frac{41}{3}-[\frac{17}{4}-( \frac{51}{4}\times\frac{21}{2})]$

$=\frac{41}{3}-[\frac{17}{4}-( \frac{1071}{8})]$

$=\frac{41}{3}-[\frac{34-1071}{8}]$

$=\frac{41}{3}-[\frac{-1037}{8}]$

$=\frac{41}{3}+\frac{1037}{8}$

$=\frac{328+3111}{24}$

$=\frac{3439}{24}$

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Updated on: 10-Oct-2022

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