The reciprocal of a nonzero rational number a/b is b/a. For example, the reciprocal of 4/5 is 5/4.
Notice that 4/5 × 5/4 = 20/20 = 1
Therefore, you can also define the reciprocal of a number a as the number b such that a × b = 1.
Rational number
1/5
4/7
4/1
9
Reciprocal
5/1
7/4
1/4
1/9
Equation
1/5 × 5/1 = 1
4/7 × 4/7 = 1
4/1 × 1/4 = 1
9 × 1/9 = 1
The reciprocal of a number is also called multiplicative inverse.
Zero does not have a reciprocal.
For example, what is the reciprocal of 0/b?
If this was possible, it would be b/0. However, division by zero is undefined or has no answer.
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