Given the fraction
[tex]\frac{3}{4}[/tex]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:
[tex]\begin{gathered} reciprocal\text{ = }\frac{4}{3} \\ \text{negative reciprocal = }-\frac{4}{3} \end{gathered}[/tex]Answer:
[tex]-\frac{4}{3}[/tex]
