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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.

Math worksheet for converting percents to decimals and fractions with a blank table for student practice.

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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.

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.
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