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Find five rational numbers between 1/3 and 1/2

GeneralClass 12AllAnswered 27 Mar 2026
Answer

Method 1: Common Denominator

Convert to same denominator with enough space:

  • 1/3 = 10/30
  • 1/2 = 15/30

Five numbers between 10/30 and 15/30: 11/30, 12/30, 13/30, 14/30, 15/30

Simplified: 11/30, 2/5, 13/30, 7/15, 1/2

Wait, we need numbers BETWEEN 1/3 and 1/2, so: 11/30, 2/5, 13/30, 7/15 (not including 15/30 which equals 1/2)

Better answer with more space:

  • 1/3 = 20/60
  • 1/2 = 30/60

Five numbers: 21/60, 22/60, 23/60, 24/60, 25/60 Simplified: 7/20, 11/30, 23/60, 2/5, 5/12

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General · Class 12