# What is 1.2 divided by 0.078?

Mar 21, 2016

$\frac{1.2}{0.078} = \frac{200}{13} = 15. \overline{384615}$

#### Explanation:

$\frac{1.2}{0.078} = \frac{1000 \times 1.2}{1000 \times 0.078} = \frac{1200}{78} = \frac{600}{39} = \frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{3}}} \times 200}{\textcolor{red}{\cancel{\textcolor{b l a c k}{3}}} \times 13} = \frac{200}{13}$

To calculate this as a recurring decimal expansion, use long division:

Keep dividing until the remainder repeats to find:

$\frac{200}{13} = 15. \overline{384615}$