Question

Find: $\left(\frac{4}{9}\right)÷5$

Answer 1

State the given data and simplify:

The given expression is $\left(\frac{4}{9}\right)÷5$.

Then, it can be simplified as,

$\left(\frac{4}{9}\right)÷5=\frac{4}{9}\times \frac{1}{5}$ $\left[\because \frac{a}{b}÷\frac{c}{d}=\frac{a}{b}\times \frac{d}{c}\right]$

$\Rightarrow \left(\frac{4}{9}\right)÷5=\frac{4\times 1}{9\times 5}$ $\left[\because \frac{p}{q}\times \frac{m}{n}=\frac{p\times m}{q\times n}\right]$

$\Rightarrow \left(\frac{4}{9}\right)÷5=\frac{4}{45}$

Hence the value of $\left(\frac{4}{9}\right)\mathbf{÷}\mathbf{5}$ is $\frac{\mathbf{4}}{\mathbf{45}}$