How do you simplify 5div 1/8?

Feb 9, 2017

See the entire simplification process below:

Explanation:

We can rewrite this express as:

$\frac{\frac{5}{1}}{\frac{1}{8}}$

The rule for dividing fractions is:

$\frac{\frac{\textcolor{red}{a}}{\textcolor{b l u e}{b}}}{\frac{\textcolor{g r e e n}{c}}{\textcolor{p u r p \le}{d}}} = \frac{\textcolor{red}{a} \times \textcolor{p u r p \le}{d}}{\textcolor{b l u e}{b} \times \textcolor{g r e e n}{c}}$

Substituting the values from this problem gives:

$\frac{\frac{\textcolor{red}{5}}{\textcolor{b l u e}{1}}}{\frac{\textcolor{g r e e n}{1}}{\textcolor{p u r p \le}{8}}} = \frac{\textcolor{red}{5} \times \textcolor{p u r p \le}{8}}{\textcolor{b l u e}{1} \times \textcolor{g r e e n}{1}} = \frac{40}{1} = 40$