One of the most recommended methods for dividing by a fraction is multiplying by its reciprocal.
We are given the operation:
[tex]\frac{\frac{-5}{7}}{\frac{2}{4}}[/tex]
The reciprocal of 2/4 is 4/2, so we multiply the fraction in the numerator by 4/2:
[tex]\begin{gathered} \frac{-5}{7}\cdot\frac{4}{2} \\ \\ \text{ Simplifying the second fraction:} \\ \\ \frac{-5}{7}\cdot\frac{2}{1} \\ \\ \text{ Multiplying:} \\ \\ \frac{-10}{7} \end{gathered}[/tex]
