Fractions, Decimals and Percentages Worksheet
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Fractions, Decimals and Percentages Worksheet
Common Equivalents
| Fraction | Decimal | Percentage |
|---|---|---|
| 1/2 | 0.5 | 50% |
| 1/4 | 0.25 | 25% |
| 3/4 | 0.75 | 75% |
| 1/10 | 0.1 | 10% |
| 1/5 | 0.2 | 20% |
| 2/5 | 0.4 | 40% |
| 3/5 | 0.6 | 60% |
| 4/5 | 0.8 | 80% |
| 1/3 | 0.333... | 33.3% |
| 2/3 | 0.667... | 66.7% |
| 1/8 | 0.125 | 12.5% |
| 3/8 | 0.375 | 37.5% |
| 5/8 | 0.625 | 62.5% |
| 7/8 | 0.875 | 87.5% |
Convert between fractions, decimals and percentages. Show your working where required. Give answers to 1 decimal place unless told otherwise.
Section A: Fraction to Percentage
1. Convert 1/2 to a percentage.
2. Convert 3/4 to a percentage.
3. Convert 1/5 to a percentage.
4. Convert 7/10 to a percentage.
5. Convert 3/8 to a percentage.
6. Convert 5/8 to a percentage.
7. Convert 2/3 to a percentage. Give your answer to 1 decimal place.
8. Convert 7/20 to a percentage.
9. Convert 9/25 to a percentage.
10. Convert 5/6 to a percentage. Give your answer to 1 decimal place.
Section B: Percentage to Fraction
Give all fractions in their simplest form.
11. Convert 40% to a fraction in its simplest form.
12. Convert 65% to a fraction in its simplest form.
13. Convert 12.5% to a fraction in its simplest form.
14. Convert 37.5% to a fraction in its simplest form.
15. Convert 80% to a fraction in its simplest form.
16. Convert 35% to a fraction in its simplest form.
17. Convert 62.5% to a fraction in its simplest form.
18. Convert 22% to a fraction in its simplest form.
19. Convert 45% to a fraction in its simplest form.
20. Convert 66.7% (recurring) to a fraction in its simplest form.
Section C: Decimals and Mixed Conversions
21. Convert 0.35 to a percentage.
22. Convert 0.625 to a percentage.
23. Convert 0.08 to a percentage.
24. Convert 72% to a decimal.
25. Convert 4.5% to a decimal.
26. Convert 0.005 to a percentage.
27. Arrange in order from smallest to largest: 0.4, 45%, 3/8, 0.42. Show your working.
28. Which is greater: 5/8 or 62%? Show your working.
29. Convert 1.25 to a percentage.
30. A student says 0.125 = 12.5% = 1/8. Are they correct? Explain your answer.
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