Question

Find:

$4\frac{2}{5}-2\frac{1}{5}$

Answer 1

According to the question,

⇒$4\frac{2}{5}-2\frac{1}{5}$

Convert mixed fractions to improper fractions

⇒ $4\frac{2}{5}=\frac{(4\times 5)+2}{5}=\frac{22}{5}$

$\Rightarrow 2\frac{1}{5}=\frac{(2\times 5)+1}{5}=\frac{11}{5}$

Now,

$$\begin{gathered} \Rightarrow \frac{22}{5}-\frac{11}{5} \\ \Rightarrow \frac{22-11}{5} \\ \Rightarrow \frac{11}{5} \end{gathered}$$

Convert improper fraction to mixed fraction:

⇒$5211-10----01$

⇒ $\frac{11}{5}=2\frac{1}{5}.$

Hence, the difference of $4\frac{2}{5}-2\frac{1}{5}$ is $2\frac{1}{5}.$