Fill in the missing decimals and fractions for each percentage listed in this conversion practice sheet.
Math worksheet for converting percents to decimals and fractions with a blank table for student practice.
GIF
1000×1294
47.4 KB
Free · Personal Use
Quality Assured by Worksheets Library Team
Reviewed for educational accuracy and age-appropriateness
ID: #449673
⭐
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
To solve the problem, we need to convert each given percentage into its decimal and fractional forms. Let's go through each step systematically.
1. From Percent to Decimal: Divide the percentage by 100.
- Example: \( 40\% = \frac{40}{100} = 0.4 \)
2. From Percent to Fraction: Write the percentage as a fraction over 100, then simplify if possible.
- Example: \( 40\% = \frac{40}{100} = \frac{2}{5} \)
Now, let's fill in the table step by step.
---
#### 1. \( 90\% \)
- Decimal: \( \frac{90}{100} = 0.9 \)
- Fraction: \( \frac{90}{100} = \frac{9}{10} \)
#### 2. \( 55\% \)
- Decimal: \( \frac{55}{100} = 0.55 \)
- Fraction: \( \frac{55}{100} = \frac{11}{20} \)
#### 3. \( 28\% \)
- Decimal: \( \frac{28}{100} = 0.28 \)
- Fraction: \( \frac{28}{100} = \frac{7}{25} \)
#### 4. \( 50\% \)
- Decimal: \( \frac{50}{100} = 0.5 \)
- Fraction: \( \frac{50}{100} = \frac{1}{2} \)
#### 5. \( 15\% \)
- Decimal: \( \frac{15}{100} = 0.15 \)
- Fraction: \( \frac{15}{100} = \frac{3}{20} \)
#### 6. \( 82\% \)
- Decimal: \( \frac{82}{100} = 0.82 \)
- Fraction: \( \frac{82}{100} = \frac{41}{50} \)
#### 7. \( 95\% \)
- Decimal: \( \frac{95}{100} = 0.95 \)
- Fraction: \( \frac{95}{100} = \frac{19}{20} \)
#### 8. \( 2\% \)
- Decimal: \( \frac{2}{100} = 0.02 \)
- Fraction: \( \frac{2}{100} = \frac{1}{50} \)
#### 9. \( 150\% \)
- Decimal: \( \frac{150}{100} = 1.5 \)
- Fraction: \( \frac{150}{100} = \frac{3}{2} \)
#### 10. \( 300\% \)
- Decimal: \( \frac{300}{100} = 3.0 \)
- Fraction: \( \frac{300}{100} = 3 \) (or \( \frac{3}{1} \))
#### 11. \( 12.5\% \)
- Decimal: \( \frac{12.5}{100} = 0.125 \)
- Fraction: \( \frac{12.5}{100} = \frac{125}{1000} = \frac{1}{8} \)
#### 12. \( 31\% \)
- Decimal: \( \frac{31}{100} = 0.31 \)
- Fraction: \( \frac{31}{100} \) (already in simplest form)
#### 13. \( 48\% \)
- Decimal: \( \frac{48}{100} = 0.48 \)
- Fraction: \( \frac{48}{100} = \frac{12}{25} \)
#### 14. \( 124\% \)
- Decimal: \( \frac{124}{100} = 1.24 \)
- Fraction: \( \frac{124}{100} = \frac{31}{25} \)
#### 15. \( 135\% \)
- Decimal: \( \frac{135}{100} = 1.35 \)
- Fraction: \( \frac{135}{100} = \frac{27}{20} \)
#### 16. \( 37.5\% \)
- Decimal: \( \frac{37.5}{100} = 0.375 \)
- Fraction: \( \frac{37.5}{100} = \frac{375}{1000} = \frac{3}{8} \)
---
Here is the completed table:
| PERCENT | DECIMAL | FRACTION |
|---------|---------|----------|
| 40% | 0.4 | \(\frac{4}{10}\) or \(\frac{2}{5}\) |
| 90% | 0.9 | \(\frac{9}{10}\) |
| 55% | 0.55 | \(\frac{11}{20}\) |
| 28% | 0.28 | \(\frac{7}{25}\) |
| 50% | 0.5 | \(\frac{1}{2}\) |
| 15% | 0.15 | \(\frac{3}{20}\) |
| 82% | 0.82 | \(\frac{41}{50}\) |
| 95% | 0.95 | \(\frac{19}{20}\) |
| 2% | 0.02 | \(\frac{1}{50}\) |
| 150% | 1.5 | \(\frac{3}{2}\) |
| 300% | 3.0 | \(3\) or \(\frac{3}{1}\) |
| 12.5% | 0.125 | \(\frac{1}{8}\) |
| 31% | 0.31 | \(\frac{31}{100}\) |
| 48% | 0.48 | \(\frac{12}{25}\) |
| 124% | 1.24 | \(\frac{31}{25}\) |
| 135% | 1.35 | \(\frac{27}{20}\) |
| 37.5% | 0.375 | \(\frac{3}{8}\) |
Thus, the final answer is:
\[
\boxed{
\begin{array}{|c|c|c|}
\hline
\text{PERCENT} & \text{DECIMAL} & \text{FRACTION} \\
\hline
40\% & 0.4 & \frac{4}{10} \text{ or } \frac{2}{5} \\
90\% & 0.9 & \frac{9}{10} \\
55\% & 0.55 & \frac{11}{20} \\
28\% & 0.28 & \frac{7}{25} \\
50\% & 0.5 & \frac{1}{2} \\
15\% & 0.15 & \frac{3}{20} \\
82\% & 0.82 & \frac{41}{50} \\
95\% & 0.95 & \frac{19}{20} \\
2\% & 0.02 & \frac{1}{50} \\
150\% & 1.5 & \frac{3}{2} \\
300\% & 3.0 & 3 \text{ or } \frac{3}{1} \\
12.5\% & 0.125 & \frac{1}{8} \\
31\% & 0.31 & \frac{31}{100} \\
48\% & 0.48 & \frac{12}{25} \\
124\% & 1.24 & \frac{31}{25} \\
135\% & 1.35 & \frac{27}{20} \\
37.5\% & 0.375 & \frac{3}{8} \\
\hline
\end{array}
}
\]
Conversion Rules:
1. From Percent to Decimal: Divide the percentage by 100.
- Example: \( 40\% = \frac{40}{100} = 0.4 \)
2. From Percent to Fraction: Write the percentage as a fraction over 100, then simplify if possible.
- Example: \( 40\% = \frac{40}{100} = \frac{2}{5} \)
Now, let's fill in the table step by step.
---
Table Completion:
#### 1. \( 90\% \)
- Decimal: \( \frac{90}{100} = 0.9 \)
- Fraction: \( \frac{90}{100} = \frac{9}{10} \)
#### 2. \( 55\% \)
- Decimal: \( \frac{55}{100} = 0.55 \)
- Fraction: \( \frac{55}{100} = \frac{11}{20} \)
#### 3. \( 28\% \)
- Decimal: \( \frac{28}{100} = 0.28 \)
- Fraction: \( \frac{28}{100} = \frac{7}{25} \)
#### 4. \( 50\% \)
- Decimal: \( \frac{50}{100} = 0.5 \)
- Fraction: \( \frac{50}{100} = \frac{1}{2} \)
#### 5. \( 15\% \)
- Decimal: \( \frac{15}{100} = 0.15 \)
- Fraction: \( \frac{15}{100} = \frac{3}{20} \)
#### 6. \( 82\% \)
- Decimal: \( \frac{82}{100} = 0.82 \)
- Fraction: \( \frac{82}{100} = \frac{41}{50} \)
#### 7. \( 95\% \)
- Decimal: \( \frac{95}{100} = 0.95 \)
- Fraction: \( \frac{95}{100} = \frac{19}{20} \)
#### 8. \( 2\% \)
- Decimal: \( \frac{2}{100} = 0.02 \)
- Fraction: \( \frac{2}{100} = \frac{1}{50} \)
#### 9. \( 150\% \)
- Decimal: \( \frac{150}{100} = 1.5 \)
- Fraction: \( \frac{150}{100} = \frac{3}{2} \)
#### 10. \( 300\% \)
- Decimal: \( \frac{300}{100} = 3.0 \)
- Fraction: \( \frac{300}{100} = 3 \) (or \( \frac{3}{1} \))
#### 11. \( 12.5\% \)
- Decimal: \( \frac{12.5}{100} = 0.125 \)
- Fraction: \( \frac{12.5}{100} = \frac{125}{1000} = \frac{1}{8} \)
#### 12. \( 31\% \)
- Decimal: \( \frac{31}{100} = 0.31 \)
- Fraction: \( \frac{31}{100} \) (already in simplest form)
#### 13. \( 48\% \)
- Decimal: \( \frac{48}{100} = 0.48 \)
- Fraction: \( \frac{48}{100} = \frac{12}{25} \)
#### 14. \( 124\% \)
- Decimal: \( \frac{124}{100} = 1.24 \)
- Fraction: \( \frac{124}{100} = \frac{31}{25} \)
#### 15. \( 135\% \)
- Decimal: \( \frac{135}{100} = 1.35 \)
- Fraction: \( \frac{135}{100} = \frac{27}{20} \)
#### 16. \( 37.5\% \)
- Decimal: \( \frac{37.5}{100} = 0.375 \)
- Fraction: \( \frac{37.5}{100} = \frac{375}{1000} = \frac{3}{8} \)
---
Final Answer:
Here is the completed table:
| PERCENT | DECIMAL | FRACTION |
|---------|---------|----------|
| 40% | 0.4 | \(\frac{4}{10}\) or \(\frac{2}{5}\) |
| 90% | 0.9 | \(\frac{9}{10}\) |
| 55% | 0.55 | \(\frac{11}{20}\) |
| 28% | 0.28 | \(\frac{7}{25}\) |
| 50% | 0.5 | \(\frac{1}{2}\) |
| 15% | 0.15 | \(\frac{3}{20}\) |
| 82% | 0.82 | \(\frac{41}{50}\) |
| 95% | 0.95 | \(\frac{19}{20}\) |
| 2% | 0.02 | \(\frac{1}{50}\) |
| 150% | 1.5 | \(\frac{3}{2}\) |
| 300% | 3.0 | \(3\) or \(\frac{3}{1}\) |
| 12.5% | 0.125 | \(\frac{1}{8}\) |
| 31% | 0.31 | \(\frac{31}{100}\) |
| 48% | 0.48 | \(\frac{12}{25}\) |
| 124% | 1.24 | \(\frac{31}{25}\) |
| 135% | 1.35 | \(\frac{27}{20}\) |
| 37.5% | 0.375 | \(\frac{3}{8}\) |
Thus, the final answer is:
\[
\boxed{
\begin{array}{|c|c|c|}
\hline
\text{PERCENT} & \text{DECIMAL} & \text{FRACTION} \\
\hline
40\% & 0.4 & \frac{4}{10} \text{ or } \frac{2}{5} \\
90\% & 0.9 & \frac{9}{10} \\
55\% & 0.55 & \frac{11}{20} \\
28\% & 0.28 & \frac{7}{25} \\
50\% & 0.5 & \frac{1}{2} \\
15\% & 0.15 & \frac{3}{20} \\
82\% & 0.82 & \frac{41}{50} \\
95\% & 0.95 & \frac{19}{20} \\
2\% & 0.02 & \frac{1}{50} \\
150\% & 1.5 & \frac{3}{2} \\
300\% & 3.0 & 3 \text{ or } \frac{3}{1} \\
12.5\% & 0.125 & \frac{1}{8} \\
31\% & 0.31 & \frac{31}{100} \\
48\% & 0.48 & \frac{12}{25} \\
124\% & 1.24 & \frac{31}{25} \\
135\% & 1.35 & \frac{27}{20} \\
37.5\% & 0.375 & \frac{3}{8} \\
\hline
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of fractions percents and decimals worksheet.