Evaluate the following and express the answer as a fraction in its simplest form.$\frac{3}{4} \div \frac{27}{32}$

Given :

The given expression is $\frac{3}{4} \div \frac{27}{32}$

To do :

We have to evaluate and express it in its simplest form.

Solution :

We know that,

$\frac{a}{b}  \div \frac{c}{d} = \frac{a}{b} \times\frac {d}{c}$

Therefore,

$\frac{3}{4} \div \frac{27}{32} =\frac{3}{4} \times\frac {32}{27}$

                       $= \frac{(3\times32)}{(4\times27)}$

                       $= \frac{96}{108}$

                       $= \frac{(12\times 8)}{(12\times 9)}$

                       $= \frac{8}{9}$.

$\frac{3}{4} \div \frac{27}{32}$ in its simplest form is $\frac{8}{9}$.

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Updated on: 10-Oct-2022

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