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Simplify the following :$41 + \frac{1}{5} [[-10 \times (25 - 13 - 3)] \div (-5)]$
Given :
$41+\frac{1}{5}\{[ -10\times ( 25-13-3)] \div ( -5)\}$
To do :
We have to simplify the given expression.
Solution :
We have to use BODMAS method in these type of problems.
$41+\frac{1}{5}\{[ -10\times ( 25-13-3)] \div ( -5)\} =41+\frac{1}{5}\{[ -10\times ( 25-16)] \div ( -5)\}$
$ =41+\frac{1}{5}\{[ -10\times 9] \div ( -5)\}$
$ =41+\frac{1}{5}\{-90\div ( -5)\}$
$ =41+\frac{1}{5}\left(\frac{-90}{-5}\right)$
$ =41+\frac{1}{5}( 18)$
$ =41+\frac{18}{5}$
$ =\frac{41\times 5+18}{5}$
$ =\frac{205+18}{5}$
$ =\frac{223}{5}$ .
The simplified value of the given expression $41+\frac{1}{5}\{[ -10\times ( 25-13-3)] \div ( -5)\}$ is $\frac{223}{5}$
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