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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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