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GeneralClass 8CBSE
Q

What is the 2 third of 120?

A

Two-thirds of 120 equals 80.

Detailed Explanation:

Calculation Methods:

Method 1 - Multiply Then Divide:

  • 2/3 × 120 = (2 × 120) ÷ 3
  • = 240 ÷ 3
  • = 80

Method 2 - Divide Then Multiply:

  • Find one-third: 120 ÷ 3 = 40
  • Multiply by 2: 40 × 2 = 80

Method 3 - Convert to Decimal:

  • 2/3 ≈ 0.6667
  • 0.6667 × 120 = 80

Visual Breakdown: Imagine 120 items divided into 3 equal groups:

  • Group 1: 40 items (1/3)
  • Group 2: 40 items (1/3)
  • Group 3: 40 items (1/3)
  • Two groups (2/3) = 40 + 40 = 80 items

Verification:

  • 2/3 of 120 = 80
  • 1/3 of 120 = 40
  • Check: 80 + 40 = 120

Real-World Applications:

  • "2/3 of 120 students attended" = 80 students
  • "2/3 of $120" = $80
  • "2/3 of 120 minutes" = 80 minutes (1 hour 20 minutes)
  • "2/3 of 120 pages read" = 80 pages

Pattern Recognition:

  • 2/3 of 12 = 8
  • 2/3 of 120 = 80
  • 2/3 of 1200 = 800
  • (Notice the pattern: multiply by 10)

Important Notes:

  • 2/3 of 120 = 80
  • Calculate: (2 × 120) ÷ 3
  • Or find 1/3 first (40), then double it
  • Quick check: 2/3 ≈ 67%, so answer should be near 67% of 120
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