What are equivalent rational numbers?
GeneralClass 12AllAnswered 27 Mar 2026
Answer
Equivalent rational numbers are different representations of the same rational number. They have the same value but different numerators and denominators.
Property: If p/q is a rational number and m is a non-zero integer, then: p/q = (p × m)/(q × m)
Example: These are all equivalent to 3/4:
- 6/8 (multiply by 2)
- 9/12 (multiply by 3)
- 15/20 (multiply by 5)
- -21/-28 (multiply by -7)
All simplify to 3/4 in standard form.
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