Question

Find: $4\frac{1}{3}÷3$

Answer 1

State the given data and simplify:

The given expression is $4\frac{1}{3}÷3$.

It can be simplified as,

$4\frac{1}{3}÷3=\frac{\left(4\times 3\right)+1}{3}÷3$ $\left[\because a\frac{b}{c}=\frac{\left(a\times c\right)+b}{c}\right]$

$$\begin{gathered} \Rightarrow 4\frac{1}{3}÷3=\frac{12+1}{3}÷3 \\ \Rightarrow 4\frac{1}{3}÷3=\frac{13}{3}÷3 \end{gathered}$$

$\Rightarrow 4\frac{1}{3}÷3=\frac{13}{3}\times \frac{1}{3}$ $\left[\because \mathrm{the}\mathrm{reciprocal}\mathrm{of}3=\frac{1}{3}\right]$

$\Rightarrow 4\frac{1}{3}÷3=\frac{13\times 1}{3\times 3}$ $\left[\because \frac{a}{b}\times \frac{c}{d}=\frac{a\times c}{b\times d}\right]$

$\Rightarrow 4\frac{1}{3}÷3=\frac{13}{9}$

Hence, the value of $\mathbf{4}\frac{\mathbf{1}}{\mathbf{3}}\mathbf{÷}\mathbf{3}$ is $\frac{\mathbf{13}}{\mathbf{9}}$.