The reciprocal of a fraction is obtained by interchanging the numerator and the denominator, i.e. by inverting the fraction.
Example 7Find the reciprocal of 20.
Solution:
6.0
The reciprocal of 9 is one ninth (1/9).
In mathematics to form the reciprocal of a quantity is to divide one by that quantity:The reciprocal of 2 is 1/2.The reciprocal of a-b is 1/(a-b).
The reciprocal of a fraction is whatever can be multiplied by the original fraction so that the product is one. In practical terms, flip the fraction upside down. The reciprocal of 3/4 is 4/3.
Just switch the top (numerator) with the bottom (denominator), turning the fraction upside down. e.g. (17/43)-1 = 43/17 or, more generally, (a/b)-1 = b/a