Understanding Fraction to Decimal and Percent Conversion
Converting fractions to decimal and percent is a fundamental mathematical skill. When you have the fraction 1/5, you can express it as a decimal by dividing the numerator by the denominator, and as a percent by multiplying that decimal by 100.
The decimal form of 1/5 is 0.2, and the percent form is 20%. This conversion is used in finance, statistics, science, and everyday calculations.
The Conversion Formulas
Fraction 1/5
→
÷
→
1 ÷ 5
→
0.2
Decimal = 1 ÷ 5 = 0.2
Percent = 0.2 × 100 = 20%
Step-by-Step Conversion Guide
- Identify the fraction - We have 1/5 (numerator = 1, denominator = 5)
- Divide to get decimal - 1 ÷ 5 = 0.2
- Convert to percent - Multiply by 100: 0.2 × 100 = 20%
- Verify your result - 20% of 5 = 5 × 1/5 = 1 ✓
Practical Examples
Example: Test Score
Scoring 1 out of 5 on a test: Divide 1 by 5 = 0.2, which is 20%
Example: Portion of a Whole
1/5 of a pizza with 5 slices means eating 1 slice (20% of the pizza)
Example: Percentage of $100
20% of $100 = $20.00
Example: Measurement
In a 5-foot measuring tape, 1 feet represents 20% of the total length
Quick Reference Table
| Fraction | Decimal | Percent |
|---|---|---|
| 1/6 | 0.166667... | 16.6667% |
| 1/4 | 0.25 | 25% |
| 2/5 | 0.4 | 40% |
| 3/5 | 0.6 | 60% |
| 1/5 | 0.2 | 20% |
Common Mistakes to Avoid
Warning: Watch Out For These Errors
-
Mistake: Confusing numerator and denominator position
Correct: Always divide numerator BY denominator: 1 ÷ 5 -
Mistake: Forgetting to multiply by 100 for percent
Correct: Decimal × 100 = Percent. 0.2 × 100 = 20% -
Mistake: Rounding too early in the calculation
Correct: Keep full precision until the final answer
Real-World Applications
Finance
Interest rates and returns
Statistics
Data analysis
Science
Measurements
Education
Test scores and grades
Use our fraction calculator for quick calculations.