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

The reciprocal of $\,\,5\,\,$ is $\displaystyle\,\,\frac{1}{5}\,\,.$
The reciprocal of $\displaystyle\,\,\frac{2}{3}\,\,$ is $\displaystyle\,\,\frac{3}{2}\,\,.$
The reciprocal of $\,-6\,$ is $\,\displaystyle-\frac{1}{6}\,.$
The reciprocal of $\displaystyle\,-\frac{5}{7}\,$ is $\displaystyle\,-\frac{7}{5}\,.$
The reciprocal of $\,0\,$ is not defined. Zero is the only real number which does not have a reciprocal.

Practice

Type in   nd   (uppercase or lowercase) if the reciprocal is not defined. Type fractions using a diagonal slash:   for example, $\,1/3\,.$