Calculating a Fraction's Reciprocal

Question

Is there any way or equation that allows me to calculate the reciprocal of any fraction? I mean if i have 5/6 and i need it's reciprocal by using a formula or an equation to calculate it.

Is there or not? thanks all

Answer 1

Flip it, ${}{}{}{}{}{}{}$ (provided the numerator is not $0$.).

The reciprocal of $\;\dfrac xy,\;\; x, y \neq 0\;\;$ is given by $\;\dfrac 1{\left(\frac xy\right)} = \dfrac yx$.

So for your fraction, the reciprocal of $\dfrac 56$ is given by $ \dfrac 65$.