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What is the LCM method for adding rational numbers?

GeneralClass 12AllAnswered 27 Mar 2026
Answer

The LCM (Least Common Multiple) method finds the smallest common denominator.

Steps:

  1. Find LCM of both denominators
  2. Convert each fraction to equivalent fraction with LCM as denominator
  3. Add numerators
  4. Simplify if needed

Example: Add 1/4 + 1/6

Step 1: LCM(4, 6) = 12

Step 2: Convert

  • 1/4 = 3/12
  • 1/6 = 2/12

Step 3: Add

  • 3/12 + 2/12 = 5/12

Answer: 5/12

General · Class 12