How to solve 2/3 of 100?

To solve 2/3 of 100, multiply 100 by 2/3, which equals approximately 66.67 (or 66⅔ exactly).

Detailed Explanation:

Solution Methods:

Method 1 - Multiply First:

• 2/3 × 100 = (2 × 100) ÷ 3
• = 200 ÷ 3
• = 66.666... or 66⅔

Method 2 - Divide First:

• Find 1/3 of 100: 100 ÷ 3 = 33.333...
• Multiply by 2: 33.333... × 2 = 66.666...

Method 3 - Convert to Decimal:

• 2/3 = 0.6667 (approximately)
• 0.6667 × 100 = 66.67

Exact vs. Approximate:

• Exact answer: 66⅔ (sixty-six and two-thirds)
• Decimal approximation: 66.67 (rounded)
• Repeating decimal: 66.666... (6 repeats forever)

Verification:

• If 2/3 of 100 = 66⅔
• Then 1/3 of 100 = 33⅓
• And 3/3 of 100 = 100 ✓

Real-World Example:

• "2/3 of 100 students" = about 67 students
• "2/3 of $100" = $66.67
• "2/3 of 100 points" = 66.67 points

Important Notes:

• 2/3 × 100 = 66⅔ (exactly)
• Approximately 66.67 in decimal
• Calculate: (2 × 100) ÷ 3