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How do you compare two rational numbers?

GeneralClass 12AllAnswered 27 Mar 2026
Answer

There are three methods:

Method 1: Cross Multiplication For a/b and c/d:

  • Calculate a × d and b × c
  • If a × d > b × c, then a/b > c/d
  • If a × d < b × c, then a/b < c/d
  • If a × d = b × c, then a/b = c/d

Method 2: Same Denominator

  • Convert both to the same denominator (LCM)
  • Compare numerators

Method 3: Decimal Conversion

  • Convert both to decimals
  • Compare decimal values

Example: Compare 3/4 and 5/6

Cross multiplication:

  • 3 × 6 = 18
  • 4 × 5 = 20
  • Since 18 < 20, we have 3/4 < 5/6

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