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.
