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