Math worksheet for converting percentages to decimals and fractions, featuring a table with various percentages and examples.

To solve the problem of converting percents to decimals and fractions, we will follow these steps for each percent:

Step 1: Convert Percent to Decimal

- To convert a percent to a decimal, divide the percent by 100.
- This is equivalent to moving the decimal point two places to the left.

Step 2: Convert Percent to Fraction

- Write the percent as a fraction with a denominator of 100.
- Simplify the fraction if possible.

Let's go through each percent in the table step by step.

---

1. 40%

- Decimal: \( 40 \div 100 = 0.4 \)
- Fraction: \( \frac{40}{100} = \frac{4}{10} = \frac{2}{5} \)

Result:
- Decimal: \( 0.4 \)
- Fraction: \( \frac{4}{10} \) or \( \frac{2}{5} \)

---

2. 90%

- Decimal: \( 90 \div 100 = 0.9 \)
- Fraction: \( \frac{90}{100} = \frac{9}{10} \)

Result:
- Decimal: \( 0.9 \)
- Fraction: \( \frac{9}{10} \)

---

3. 55%

- Decimal: \( 55 \div 100 = 0.55 \)
- Fraction: \( \frac{55}{100} = \frac{11}{20} \)

Result:
- Decimal: \( 0.55 \)
- Fraction: \( \frac{11}{20} \)

---

4. 28%

- Decimal: \( 28 \div 100 = 0.28 \)
- Fraction: \( \frac{28}{100} = \frac{7}{25} \)

Result:
- Decimal: \( 0.28 \)
- Fraction: \( \frac{7}{25} \)

---

5. 50%

- Decimal: \( 50 \div 100 = 0.5 \)
- Fraction: \( \frac{50}{100} = \frac{1}{2} \)

Result:
- Decimal: \( 0.5 \)
- Fraction: \( \frac{1}{2} \)

---

6. 15%

- Decimal: \( 15 \div 100 = 0.15 \)
- Fraction: \( \frac{15}{100} = \frac{3}{20} \)

Result:
- Decimal: \( 0.15 \)
- Fraction: \( \frac{3}{20} \)

---

7. 82%

- Decimal: \( 82 \div 100 = 0.82 \)
- Fraction: \( \frac{82}{100} = \frac{41}{50} \)

Result:
- Decimal: \( 0.82 \)
- Fraction: \( \frac{41}{50} \)

---

8. 95%

- Decimal: \( 95 \div 100 = 0.95 \)
- Fraction: \( \frac{95}{100} = \frac{19}{20} \)

Result:
- Decimal: \( 0.95 \)
- Fraction: \( \frac{19}{20} \)

---

9. 2%

- Decimal: \( 2 \div 100 = 0.02 \)
- Fraction: \( \frac{2}{100} = \frac{1}{50} \)

Result:
- Decimal: \( 0.02 \)
- Fraction: \( \frac{1}{50} \)

---

10. 150%

- Decimal: \( 150 \div 100 = 1.5 \)
- Fraction: \( \frac{150}{100} = \frac{3}{2} \)

Result:
- Decimal: \( 1.5 \)
- Fraction: \( \frac{3}{2} \)

---

11. 300%

- Decimal: \( 300 \div 100 = 3.0 \)
- Fraction: \( \frac{300}{100} = 3 \)

Result:
- Decimal: \( 3.0 \)
- Fraction: \( 3 \)

---

12. 12.5%

- Decimal: \( 12.5 \div 100 = 0.125 \)
- Fraction: \( \frac{12.5}{100} = \frac{125}{1000} = \frac{1}{8} \)

Result:
- Decimal: \( 0.125 \)
- Fraction: \( \frac{1}{8} \)

---

13. 31%

- Decimal: \( 31 \div 100 = 0.31 \)
- Fraction: \( \frac{31}{100} \) (already in simplest form)

Result:
- Decimal: \( 0.31 \)
- Fraction: \( \frac{31}{100} \)

---

14. 48%

- Decimal: \( 48 \div 100 = 0.48 \)
- Fraction: \( \frac{48}{100} = \frac{12}{25} \)

Result:
- Decimal: \( 0.48 \)
- Fraction: \( \frac{12}{25} \)

---

15. 124%

- Decimal: \( 124 \div 100 = 1.24 \)
- Fraction: \( \frac{124}{100} = \frac{31}{25} \)

Result:
- Decimal: \( 1.24 \)
- Fraction: \( \frac{31}{25} \)

---

16. 135%

- Decimal: \( 135 \div 100 = 1.35 \)
- Fraction: \( \frac{135}{100} = \frac{27}{20} \)

Result:
- Decimal: \( 1.35 \)
- Fraction: \( \frac{27}{20} \)

---

17. 37.5%

- Decimal: \( 37.5 \div 100 = 0.375 \)
- Fraction: \( \frac{37.5}{100} = \frac{375}{1000} = \frac{3}{8} \)

Result:
- Decimal: \( 0.375 \)
- Fraction: \( \frac{3}{8} \)

---

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 | \(3\) |
| 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 | \(\frac{3}{8}\) |

\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 \\
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}
}