GeneralClass 8CBSE
Q
Is 0.75 and 3/4 the same?
A
Yes, 0.75 and 3/4 are exactly the same value; they are simply different ways of representing three-quarters.
Detailed Explanation:
Proof They're Equal:
- Fraction to Decimal: 3 ÷ 4 = 0.75
- Decimal to Fraction: 0.75 = 75/100 = 3/4 (simplified)
- Both equal 75%
Different Representations, Same Value:
| Representation | Form |
|---|---|
| Fraction | 3/4 |
| Decimal | 0.75 |
| Percentage | 75% |
| Ratio | 3:4 |
When to Use Each Form:
Use 3/4 when:
- Doing fraction arithmetic
- Working with measurements (3/4 inch)
- Cooking (3/4 cup)
- Following exact values
Use 0.75 when:
- Using calculators
- Working with money ($0.75)
- Scientific calculations
- Data analysis
Common Conversions:
- 1/4 = 0.25 = 25%
- 1/2 = 0.5 = 50%
- 3/4 = 0.75 = 75%
- 1/1 = 1.0 = 100%
Important Notes:
- 0.75 = 3/4 exactly
- Same value, different notation
- Choose form based on context
- Both represent 75% of a whole