Reciprocals and multiplicative inverses

If the product of two numbers is 1, the numbers are called **reciprocals**, or **multiplicative inverses,** of each other.

8 is the multiplicative inverse of , and is the multiplicative inverse of 8, because

**Strategy.** To find the reciprocal of a fraction, we invert the numerator and the denominator.

Find the reciprocal of .

The reciprocal of is because

All real numbers, except 0, have a multiplicative inverse.