Student resources
Grades 4-8
Fractions, Decimals, and Percentages for Students
Fractions, decimals, and percentages are different ways to show parts of a whole. Learning how to move between them makes math, money, measurement, and data easier.
Key ideas
- To convert a fraction to a decimal, divide the numerator by the denominator.
- To convert a decimal to a percentage, multiply by 100.
- To convert a percentage to a decimal, divide by 100.
- Common benchmarks like 1/2, 1/4, and 3/4 are useful for quick mental math.
Common Equivalents
| Fraction | Decimal | Percentage |
|---|---|---|
| 1/2 | 0.5 | 50% |
| 1/4 | 0.25 | 25% |
| 3/4 | 0.75 | 75% |
| 1/5 | 0.2 | 20% |
| 1/10 | 0.1 | 10% |
| 1/100 | 0.01 | 1% |
Practice questions
Convert 1/4 to a decimal.
Calculation: 1 / 4 = 0.25
Answer: 0.25
Convert 0.6 to a percentage.
Calculation: 0.6 x 100 = 60
Answer: 60%
Convert 35% to a decimal.
Calculation: 35 / 100 = 0.35
Answer: 0.35
Convert 3/5 to a percentage.
Calculation: 3 / 5 = 0.6, then 0.6 x 100 = 60
Answer: 60%