# How do you evaluate: 5/3 -: 5/7?

Jan 27, 2017

$\frac{7}{3}$

#### Explanation:

This expression can be rewritten as:

$\frac{\frac{5}{3}}{\frac{5}{7}}$

We can then use the rule for dividing fractions:

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

Substituting the values from the rewritten problem gives:

$\frac{\frac{\textcolor{red}{5}}{\textcolor{b l u e}{3}}}{\frac{\textcolor{p u r p \le}{5}}{\textcolor{\mathmr{and} a n \ge}{7}}} \to \frac{\textcolor{red}{5} \times \textcolor{\mathmr{and} a n \ge}{7}}{\textcolor{b l u e}{3} \times \textcolor{p u r p \le}{5}} \to \frac{\cancel{\textcolor{red}{5}} \times \textcolor{\mathmr{and} a n \ge}{7}}{\textcolor{b l u e}{3} \times \cancel{\textcolor{p u r p \le}{5}}} \to \frac{7}{3}$