# What is the decimal form of 6/8?

Apr 7, 2016

$\frac{6}{8} = 0.75$

#### Explanation:

To convert a fraction into decimal, one needs to first make the denominator a power of $10$. It is easy if denominator's only prime factors are $2$ and $5$. As one can multiply by $5$s and $2$'s to get the same.

Here we have $8 = 2 \times 2 \times 2$ so do we need to multiply by $5 \times 5 \times 5$. But as $2$ is also a factor of numerator, one $2$ will cancel out and we need to multiply by $5 \times 5$ only.

Hence $\frac{6}{8} = \frac{\cancel{2} \times 3 \times 5 \times 5}{\cancel{2} \times 2 \times 2 \times 5 \times 5}$

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