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