Question

Find the reciprocal of the number. $$-\frac{3}{4}$$

Short answer

The reciprocal of \(-\frac{3}{4}\) is \(-\frac{4}{3}\).

Step-by-step solution

Understanding the premise

The number provided here is \(-\frac{3}{4}\). The task requires finding the reciprocal of this number.

Formulating the reciprocal

The reciprocal of a number is simply 1 divided by that number. Therefore, the reciprocal of \(-\frac{3}{4}\) would simply be \(\frac{1}{-\frac{3}{4}}\).

Calculating the reciprocal

To resolve the equation, one would need to simplify \(\frac{1}{-\frac{3}{4}}\) to \(-\frac{4}{3}\). This is achieved by multiplying the top and bottom of the fraction by -4.