What is the distributive property for rational numbers?
GeneralClass 12AllAnswered 27 Mar 2026
Answer
Multiplication distributes over addition.
Formula: a × (b + c) = (a × b) + (a × c)
Example:
2/3 × (1/4 + 1/5)
Method 1 (add first):
= 2/3 × (5/20 + 4/20)
= 2/3 × 9/20
= 18/60 = 3/10
Method 2 (distribute):
= (2/3 × 1/4) + (2/3 × 1/5)
= 2/12 + 2/15
= 1/6 + 2/15
= 5/30 + 4/30
= 9/30 = 3/10Both methods give 3/10 ✓
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