Evaluate the following and express the answer as a mixed fraction."

Given :

The given expression is $9 ÷ 2 \frac{3}{4}$.

To do :

We have to express the given expression in its simplest form.

Solution :

We know that,

$(\frac{a}{b})  ÷ (\frac{c}{d}) = (\frac{a}{b}) \times (\frac{d}{c})$

 $9 ÷ 2 \frac{3}{4} = 9 ÷ \frac{(2\times 4+3)}{4}$

                 $= 9 ÷ \frac{(8+3)}{4}$

                 $= \frac{9}{1} ÷\frac{11}{4}$

                 $= \frac{9}{1} \times \frac{4}{11}$

                $= \frac{(9\times 4)}{(1\times 11)}$

               $= \frac{36}{11}$

 $\frac{36}{11} = \frac{(11\times 3+3)}{11}$

            $=3 \frac{3}{11}$

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Updated on: 10-Oct-2022

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