What property is shown by: (2/3 × 4/5) × 1/2 = 2/3 × (4/5 × 1/2)?
GeneralClass 12AllAnswered 27 Mar 2026
Answer
This demonstrates the Associative Property of Multiplication.
Definition: For any three rational numbers a, b, and c: (a × b) × c = a × (b × c)
The grouping of multiplication doesn't matter; the result is the same.
Verification:
Left side: (2/3 × 4/5) × 1/2 = (8/15) × 1/2 = 8/30 = 4/15
Right side: 2/3 × (4/5 × 1/2) = 2/3 × (4/10) = 2/3 × 2/5 = 4/15Both equal 4/15 ✓
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