This conversion worksheet helps students practice transforming decimal numbers into equivalent percents and simplified fractions.
Decimals to Percents and Fractions Worksheet Sheet 2 with conversion table and practice problems for students
GIF
1000×1294
44.5 KB
Free · Personal Use
Quality Assured by Worksheets Library Team
Reviewed for educational accuracy and age-appropriateness
ID: #317422
⭐
Show Answer Key & Explanations
Step-by-step solution for: Fractions Decimals Percents Worksheets
▼
Show Answer Key & Explanations
Step-by-step solution for: Fractions Decimals Percents Worksheets
Let's solve the problem step by step.
We are given a table with decimals, and we need to convert each decimal into its percent form and fraction form.
---
1. Decimal → Percent:
Multiply the decimal by 100 and add the % sign.
Example: $ 0.25 \times 100 = 25\% $
2. Decimal → Fraction:
- Write the decimal as a fraction over 1.
- Multiply numerator and denominator by 10, 100, 1000, etc., depending on how many decimal places there are.
- Simplify the fraction.
---
Let’s go through each row:
---
| DECIMAL | PERCENT | FRACTION |
|--------|--------|---------|
| 0.25 | 25% | $ \frac{25}{100} = \frac{1}{4} $ ✔ (Given) |
| 0.9 | ? | ? |
| 0.28 | ? | ? |
| 0.84 | ? | ? |
| 0.75 | ? | ? |
| 0.3 | ? | ? |
| 0.09 | ? | ? |
| 0.375 | ? | ? |
| 1.4 | ? | ? |
| 0.27 | ? | ? |
| 0.15 | ? | ? |
| 0.006 | ? | ? |
| 0.625 | ? | ? |
| 1.75 | ? | ? |
| 1.14 | ? | ? |
| 0.72 | ? | ? |
| 0.01 | ? | ? |
---
Now let's fill in each one:
---
1. 0.9
- Percent: $ 0.9 \times 100 = 90\% $
- Fraction: $ \frac{9}{10} $ (already simplified)
2. 0.28
- Percent: $ 0.28 \times 100 = 28\% $
- Fraction: $ \frac{28}{100} = \frac{7}{25} $ (divide numerator and denominator by 4)
3. 0.84
- Percent: $ 84\% $
- Fraction: $ \frac{84}{100} = \frac{21}{25} $ (÷4)
4. 0.75
- Percent: $ 75\% $
- Fraction: $ \frac{75}{100} = \frac{3}{4} $
5. 0.3
- Percent: $ 30\% $
- Fraction: $ \frac{3}{10} $
6. 0.09
- Percent: $ 9\% $
- Fraction: $ \frac{9}{100} $ (already simplified)
7. 0.375
- Percent: $ 37.5\% $
- Fraction: $ \frac{375}{1000} = \frac{3}{8} $ (÷125)
8. 1.4
- Percent: $ 1.4 \times 100 = 140\% $
- Fraction: $ \frac{14}{10} = \frac{7}{5} $ or $ 1\frac{2}{5} $
9. 0.27
- Percent: $ 27\% $
- Fraction: $ \frac{27}{100} $ (already simplified)
10. 0.15
- Percent: $ 15\% $
- Fraction: $ \frac{15}{100} = \frac{3}{20} $
11. 0.006
- Percent: $ 0.6\% $
- Fraction: $ \frac{6}{1000} = \frac{3}{500} $
12. 0.625
- Percent: $ 62.5\% $
- Fraction: $ \frac{625}{1000} = \frac{5}{8} $ (÷125)
13. 1.75
- Percent: $ 175\% $
- Fraction: $ \frac{175}{100} = \frac{7}{4} $ or $ 1\frac{3}{4} $
14. 1.14
- Percent: $ 114\% $
- Fraction: $ \frac{114}{100} = \frac{57}{50} $ or $ 1\frac{7}{50} $
15. 0.72
- Percent: $ 72\% $
- Fraction: $ \frac{72}{100} = \frac{18}{25} $
16. 0.01
- Percent: $ 1\% $
- Fraction: $ \frac{1}{100} $
---
| DECIMAL | PERCENT | FRACTION |
|--------|--------|---------|
| 0.25 | 25% | $ \frac{1}{4} $ |
| 0.9 | 90% | $ \frac{9}{10} $ |
| 0.28 | 28% | $ \frac{7}{25} $ |
| 0.84 | 84% | $ \frac{21}{25} $ |
| 0.75 | 75% | $ \frac{3}{4} $ |
| 0.3 | 30% | $ \frac{3}{10} $ |
| 0.09 | 9% | $ \frac{9}{100} $ |
| 0.375 | 37.5% | $ \frac{3}{8} $ |
| 1.4 | 140% | $ \frac{7}{5} $ |
| 0.27 | 27% | $ \frac{27}{100} $ |
| 0.15 | 15% | $ \frac{3}{20} $ |
| 0.006 | 0.6% | $ \frac{3}{500} $ |
| 0.625 | 62.5% | $ \frac{5}{8} $ |
| 1.75 | 175% | $ \frac{7}{4} $ |
| 1.14 | 114% | $ \frac{57}{50} $ |
| 0.72 | 72% | $ \frac{18}{25} $ |
| 0.01 | 1% | $ \frac{1}{100} $ |
---
- To convert decimal → percent: Multiply by 100.
- To convert decimal → fraction:
- Write as a fraction over power of 10 based on decimal places.
- Simplify using GCF.
- For decimals > 1 (like 1.4), the fraction will be improper or mixed number.
This completes the worksheet! Let me know if you'd like it printed or formatted differently.
We are given a table with decimals, and we need to convert each decimal into its percent form and fraction form.
---
🔁 Rules for Conversion:
1. Decimal → Percent:
Multiply the decimal by 100 and add the % sign.
Example: $ 0.25 \times 100 = 25\% $
2. Decimal → Fraction:
- Write the decimal as a fraction over 1.
- Multiply numerator and denominator by 10, 100, 1000, etc., depending on how many decimal places there are.
- Simplify the fraction.
---
Let’s go through each row:
---
| DECIMAL | PERCENT | FRACTION |
|--------|--------|---------|
| 0.25 | 25% | $ \frac{25}{100} = \frac{1}{4} $ ✔ (Given) |
| 0.9 | ? | ? |
| 0.28 | ? | ? |
| 0.84 | ? | ? |
| 0.75 | ? | ? |
| 0.3 | ? | ? |
| 0.09 | ? | ? |
| 0.375 | ? | ? |
| 1.4 | ? | ? |
| 0.27 | ? | ? |
| 0.15 | ? | ? |
| 0.006 | ? | ? |
| 0.625 | ? | ? |
| 1.75 | ? | ? |
| 1.14 | ? | ? |
| 0.72 | ? | ? |
| 0.01 | ? | ? |
---
Now let's fill in each one:
---
1. 0.9
- Percent: $ 0.9 \times 100 = 90\% $
- Fraction: $ \frac{9}{10} $ (already simplified)
2. 0.28
- Percent: $ 0.28 \times 100 = 28\% $
- Fraction: $ \frac{28}{100} = \frac{7}{25} $ (divide numerator and denominator by 4)
3. 0.84
- Percent: $ 84\% $
- Fraction: $ \frac{84}{100} = \frac{21}{25} $ (÷4)
4. 0.75
- Percent: $ 75\% $
- Fraction: $ \frac{75}{100} = \frac{3}{4} $
5. 0.3
- Percent: $ 30\% $
- Fraction: $ \frac{3}{10} $
6. 0.09
- Percent: $ 9\% $
- Fraction: $ \frac{9}{100} $ (already simplified)
7. 0.375
- Percent: $ 37.5\% $
- Fraction: $ \frac{375}{1000} = \frac{3}{8} $ (÷125)
8. 1.4
- Percent: $ 1.4 \times 100 = 140\% $
- Fraction: $ \frac{14}{10} = \frac{7}{5} $ or $ 1\frac{2}{5} $
9. 0.27
- Percent: $ 27\% $
- Fraction: $ \frac{27}{100} $ (already simplified)
10. 0.15
- Percent: $ 15\% $
- Fraction: $ \frac{15}{100} = \frac{3}{20} $
11. 0.006
- Percent: $ 0.6\% $
- Fraction: $ \frac{6}{1000} = \frac{3}{500} $
12. 0.625
- Percent: $ 62.5\% $
- Fraction: $ \frac{625}{1000} = \frac{5}{8} $ (÷125)
13. 1.75
- Percent: $ 175\% $
- Fraction: $ \frac{175}{100} = \frac{7}{4} $ or $ 1\frac{3}{4} $
14. 1.14
- Percent: $ 114\% $
- Fraction: $ \frac{114}{100} = \frac{57}{50} $ or $ 1\frac{7}{50} $
15. 0.72
- Percent: $ 72\% $
- Fraction: $ \frac{72}{100} = \frac{18}{25} $
16. 0.01
- Percent: $ 1\% $
- Fraction: $ \frac{1}{100} $
---
✔ Final Answer Table:
| DECIMAL | PERCENT | FRACTION |
|--------|--------|---------|
| 0.25 | 25% | $ \frac{1}{4} $ |
| 0.9 | 90% | $ \frac{9}{10} $ |
| 0.28 | 28% | $ \frac{7}{25} $ |
| 0.84 | 84% | $ \frac{21}{25} $ |
| 0.75 | 75% | $ \frac{3}{4} $ |
| 0.3 | 30% | $ \frac{3}{10} $ |
| 0.09 | 9% | $ \frac{9}{100} $ |
| 0.375 | 37.5% | $ \frac{3}{8} $ |
| 1.4 | 140% | $ \frac{7}{5} $ |
| 0.27 | 27% | $ \frac{27}{100} $ |
| 0.15 | 15% | $ \frac{3}{20} $ |
| 0.006 | 0.6% | $ \frac{3}{500} $ |
| 0.625 | 62.5% | $ \frac{5}{8} $ |
| 1.75 | 175% | $ \frac{7}{4} $ |
| 1.14 | 114% | $ \frac{57}{50} $ |
| 0.72 | 72% | $ \frac{18}{25} $ |
| 0.01 | 1% | $ \frac{1}{100} $ |
---
📝 Explanation Summary:
- To convert decimal → percent: Multiply by 100.
- To convert decimal → fraction:
- Write as a fraction over power of 10 based on decimal places.
- Simplify using GCF.
- For decimals > 1 (like 1.4), the fraction will be improper or mixed number.
This completes the worksheet! Let me know if you'd like it printed or formatted differently.
Parent Tip: Review the logic above to help your child master the concept of fraction decimal worksheet.