Question

How do you change $0.2$ into a fraction?

Answer 1

Convert decimal into fraction:

To convert a decimal expression into a fraction divide the decimal expansion with ${10}^n$, where $n$ is the number of digits after the decimal in the decimal expansion and remove the decimal symbol from the numerator.

The given decimal expression is $0.2$.

Here, the decimal expansion has only one digit after the decimal, thus, to convert the decimal expansion, we will divide $0.2$ by $10$ and remove decimal from the numerator.

$$\begin{gathered} \Rightarrow 0.2=\frac{2}{10} \\ \Rightarrow 0.2=\frac{2}{10} \\ \therefore 0.2=\frac{1}{5}\left[\mathrm{Dividing}\mathrm{both}\mathrm{numerator}\mathrm{and}\mathrm{denominator}\mathrm{by}\left(2\right)\right] \end{gathered}$$

Hence, $0.2$ in fraction is $\frac{1}{5}$.