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Evaluate the following and express the answer as a fraction in its simplest form."
Given :
The given expression is $\frac{7}{15} ÷ 3$.
To do :
We have to express the given expression in its simplest form.
Solution :
We know that,
$(\frac{a}{b}) ÷ (\frac{c}{d}) = (\frac{a}{b}) \times (\frac{d}{c})$
$\frac{7}{15} ÷ 3= \frac{7}{15} ÷ \frac{3}{1}$
$= (\frac{7}{15}) \times (\frac{1}{3})$
$= \frac{(7\times1)}{(15\times3)}$
$= \frac{7}{45}$.
Therefore, the simples form of $\frac{7}{15} ÷ 3$ is $\frac{7}{45}$.
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