# Finding Reciprocals

Here, you will practice finding reciprocals (multiplicative inverses) of whole numbers and fractions.

For $\,x\ne 0\,,$ the reciprocal of $\,x\,$ is $\displaystyle\,\frac{1}{x}\,.$

In particular, the reciprocal of $\displaystyle\,\,\frac{a}{b}\,\,$ is $\displaystyle\,\,\frac{b}{a}\,\,.$

The number $\,0\,$ does not have a reciprocal, since division by zero is not allowed. For all other numbers, a number multiplied by its reciprocal equals $\,1\,$: $x\cdot \frac1x = 1$

## Examples

## Practice

Type in **nd** (uppercase or lowercase) if the reciprocal is **n**ot **d**efined.
Type fractions using a diagonal slash: for example, 1/3 .