Question

Convert the following decimal into a fraction with the lowest term:

$0.8$

Answer 1

Step 1: Convert $0.8$ into a fraction

Since there is one digit after a decimal point, so put $1$ zero after $1$ in the denominator.

Therefore $0.8=\frac{8}{10}$

Step 2: Convert the fraction into the lowest term

Prime factors of $8$ and $10$ are

$$\begin{gathered} 8=2\times 2\times 2 \\ 10=2\times 5 \end{gathered}$$

The highest common factor of $8$ and $10$ is $2$.

Therefore dividing the numerator and denominator of $\frac{8}{10}$ by the common factor $2$ to reduce it into the lowest form, we get

$\frac{8÷2}{10÷2}=\frac{4}{5}$

Thus the lowest form of $\frac{8}{10}$ is $\frac{4}{5}$.

Therefore the required answer is $\frac{4}{5}$.