What is the multiplicative inverse (reciprocal) of a rational number?
GeneralClass 12AllAnswered 27 Mar 2026
Answer
The multiplicative inverse of p/q is q/p (provided p ≠ 0).
Property: A number multiplied by its reciprocal equals 1. (p/q) × (q/p) = 1
Examples:
- Reciprocal of 3/4 is 4/3
- Reciprocal of -5/7 is -7/5
- Reciprocal of 2 (or 2/1) is 1/2
- Reciprocal of -1 is -1
Note: Zero (0) has no reciprocal because 1/0 is undefined.
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