Skill: Convert terminating decimals to fractions

A terminating decimal has a denominator of $10$, $100$, $1{,}000$, and so on. The number of digits after the decimal point tells you which denominator to use.

Example: Convert $0.75$ to a fraction.

1. There are 2 digits to the right of the decimal point, so use $100$ as the denominator:

$$0.75=\frac{75}{100}$$

2. Simplify the fraction. Both $75$ and $100$ are divisible by $25$:

$$\frac{75\div25}{100\div25}=\frac{3}{4}$$

Therefore,

$$\boxed{0.75=\frac{3}{4}}$$

The fraction $\frac{3}{4}$ is in simplest form because $3$ and $4$ have no common factor other than $1$.