# What is 3/4 as a decimal?

Mar 29, 2016

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

#### Explanation:

For converting a fraction into decimal, we should first reduce the fraction to its lowest terms. As $\frac{3}{4}$ is already in lowest term, we can skip it here.

Further as factors of denominator $4$ are only 2s, we should have terminating decimals (for terminating decimals, we should have only 2 and 5 as prime factors of denominator). In fact there are two 2s, hence to convert it into decimal we can multiply numerator and denominator by two 5s i.e. $5 \times 5$

Now dividing $3$ by $4$, we get

$\frac{3}{4} = \frac{3 \times 5 \times 5}{4 \times 5 \times 5} = \frac{75}{100} = 0.75$