Quick Answer
3/5 as a decimal: 0.6
3/5 as a percent: 60%
Three-fifths converts cleanly to a terminating decimal and a round percentage. Since the denominator (5) has only 5 as a prime factor, the decimal ends after one place.
Key Takeaway: 3/5 equals exactly 0.6 as a decimal and 60% as a percentage. These are exact values - no rounding needed.
How to Convert 3/5 to a Decimal
Divide the numerator (3) by the denominator (5):
- 5 goes into 3 zero times, write 0.
- Add decimal: 3.0
- 5 goes into 30 exactly six times (5 × 6 = 30)
- No remainder - done!
3 ÷ 5 = 0.6
How to Convert 3/5 to a Percent
Method 1: From Decimal
0.6 × 100 = 60%
Method 2: Direct
(3 × 100) ÷ 5 = 300 ÷ 5 = 60%
Try It: What is 2/5 as a decimal and percent?
Answer: 2 ÷ 5 = 0.4 = 40%
Answer: 2 ÷ 5 = 0.4 = 40%
Reference Table: Fifth Fractions
| Fraction | Decimal | Percent | Common Use |
|---|---|---|---|
| 1/5 | 0.2 | 20% | One fifth |
| 2/5 | 0.4 | 40% | Two fifths |
| 3/5 | 0.6 | 60% | Three fifths |
| 4/5 | 0.8 | 80% | Four fifths |
Real-World Applications
Test Scores: Getting 3 out of 5 questions correct means 60% on that section.
Ratings: A 3-star rating out of 5 represents 60% satisfaction.
Discounts: A 60% sale means items cost 3/5 of their original price. A $50 item becomes $30.
Equivalent Fractions
- 3/5 = 6/10 (multiply by 2)
- 3/5 = 9/15 (multiply by 3)
- 3/5 = 12/20 (multiply by 4)
- 3/5 = 60/100 (multiply by 20)
Common Mistakes
- Thinking it repeats: 3/5 = 0.6 exactly, not 0.666. That's 2/3!
- Writing 0.6% instead of 60%: Multiply by 100 when converting to percent.
Remember: 3/5, 0.6, and 60% all represent three-fifths of a whole. Think "60% on a test" as a memory aid.
Try our Fraction Calculator for more conversions.