How do you simplify 3/4div7/8?

Jan 4, 2017

See full simplification process below.

Explanation:

First rewrite this problem as:

$\frac{\frac{\textcolor{red}{3}}{\textcolor{g r e e n}{4}}}{\frac{\textcolor{b l u e}{7}}{\textcolor{\mathmr{and} a n \ge}{8}}}$

Now, use this rule for dividing fractions:

$\frac{\frac{\textcolor{red}{a}}{\textcolor{g r e e n}{b}}}{\frac{\textcolor{b l u e}{c}}{\textcolor{\mathmr{and} a n \ge}{d}}} = \frac{\textcolor{red}{a} \times \textcolor{\mathmr{and} a n \ge}{d}}{\textcolor{g r e e n}{b} \times \textcolor{b l u e}{c}}$

Substituting gives:

$\frac{\frac{\textcolor{red}{3}}{\textcolor{g r e e n}{4}}}{\frac{\textcolor{b l u e}{7}}{\textcolor{\mathmr{and} a n \ge}{8}}} = \frac{\textcolor{red}{3} \times \textcolor{\mathmr{and} a n \ge}{8}}{\textcolor{g r e e n}{4} \times \textcolor{b l u e}{7}} = \frac{24}{28} = \frac{4 \times 6}{4 \times 7} = \frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{4}}} \times 6}{\textcolor{red}{\cancel{\textcolor{b l a c k}{4}}} \times 7} =$

$\frac{6}{7}$