Question

What is the negative reciprocal of the fraction 3/4 ?

Answer 1

Given the fraction

`(3)/(4)`

The reciprocal of a fraction is just switching the numerator (top number) and the denominator (bottom number). The negative reciprocal takes the negative of that number. Therefore:

`\begin{gathered} reciprocal\text{ = }(4)/(3) \\ \text{negative reciprocal = }-(4)/(3) \end{gathered}`

Answer:

`-(4)/(3)`