Question

Write the following decimal as fraction and express your answer in lowest form.

$0.8$

Answer 1

Step 1: Decimal to fraction

In $0.8$, we have $0\mathrm{ones}\mathrm{and}8\mathrm{tenths}$.

$\Rightarrow 0.8=0+\frac{8}{10}$ $\left(\because 1\mathrm{tenths}=\frac{1}{10}\right)$

$=\frac{8}{10}$

Step 2: Lowest form

$\because 2$ is the common factor of $8$ and $10$.

$\therefore \frac{{\sout{8}}^4}{{\sout{10}}^5}=\frac{4}{5}$

Hence, the fraction form of $0.8$$=\frac{8}{10}$and the lowest form of $\frac{8}{10}$is $\frac{4}{5}$.