Question

Evaluate and simplify the following complex fraction. I will send a screenshot of that fraction by am having difficulty with.

Answer 1

One of the most recommended methods for dividing by a fraction is multiplying by its reciprocal.

We are given the operation:

`((-5)/(7))/((2)/(4))`

The reciprocal of 2/4 is 4/2, so we multiply the fraction in the numerator by 4/2:

`\begin{gathered} (-5)/(7)\cdot(4)/(2) \\ \\ \text{ Simplifying the second fraction:} \\ \\ (-5)/(7)\cdot(2)/(1) \\ \\ \text{ Multiplying:} \\ \\ (-10)/(7) \end{gathered}`