Solve the following :
$8\frac{1}{2} - 3\frac{5}{8}$

Given :

The given expression is  $8\frac{1}{2} - 3\frac{5}{8}$

To find :

we have to solve and find the value of given expression.

Solution :

$8\frac{1}{2} = \frac{(8\times2+1)}{2} = \frac{16+1}{2} = \frac{17}{2}$

$3\frac{5}{8} = \frac{(3\times8+5)}{8} = \frac{24+5}{8} = \frac{29}{8}$

Therefore,

$8\frac{1}{2} - 3\frac{5}{8} =  \frac{17}{2}- \frac{29}{8}$

LCM of 2 and 8 is 8.

$8\frac{1}{2} - 3\frac{5}{8} =  \frac{17}{2}- \frac{29}{8}$

                        $= \frac{(17\times4-29\times1)}{8}$

                       $= \frac{68-29}{8}$

                        $= \frac{39}{8}$

$8\frac{1}{2} - 3\frac{5}{8} = \frac{39}{8}$

Therefore, the value of $8\frac{1}{2} - 3\frac{5}{8} is  \frac{39}{8}$

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Updated on: 10-Oct-2022

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