Worksheet for practicing conversion between percentages, decimals, and fractions.
A worksheet titled "Percent, Decimal, and Fraction Conversion" with a table for converting between percentages, decimals, and fractions.
JPG
271×350
15 KB
Free · Personal Use
Quality Assured by Worksheets Library Team
Reviewed for educational accuracy and age-appropriateness
ID: #386782
⭐
Show Answer Key & Explanations
Step-by-step solution for: Percent Decimal Fraction Conversion Chart Worksheet by Rise over Run
▼
Show Answer Key & Explanations
Step-by-step solution for: Percent Decimal Fraction Conversion Chart Worksheet by Rise over Run
To solve the problem, we need to convert between percentages, decimals, and fractions. Let's go through each row step by step.
| PERCENT | DECIMAL | FRACTION |
|---------|---------|----------|
| 22% | 0.22 | 11/50 |
| 10% | | |
| | 0.55 | |
| | | 3/20 |
| 100% | 0.7 | |
| 88% | | 11/12 |
| 20% | 0.91 | |
| 57% | | 3/5 |
| | 0.6 | 24/25 |
---
#### Row 1: 22%
- Percent: 22%
- Decimal: 0.22
- Fraction:
- Convert 22% to a fraction: \( \frac{22}{100} \)
- Simplify \( \frac{22}{100} \) by dividing numerator and denominator by their greatest common divisor (GCD), which is 2:
\[
\frac{22 \div 2}{100 \div 2} = \frac{11}{50}
\]
- Fraction: \( \frac{11}{50} \)
#### Row 2: 10%
- Percent: 10%
- Decimal:
- Convert 10% to a decimal: \( 10 \div 100 = 0.1 \)
- Decimal: 0.1
- Fraction:
- Convert 10% to a fraction: \( \frac{10}{100} \)
- Simplify \( \frac{10}{100} \) by dividing numerator and denominator by their GCD, which is 10:
\[
\frac{10 \div 10}{100 \div 10} = \frac{1}{10}
\]
- Fraction: \( \frac{1}{10} \)
#### Row 3: Decimal 0.55
- Percent:
- Convert 0.55 to a percent: \( 0.55 \times 100 = 55\% \)
- Percent: 55%
- Fraction:
- Convert 0.55 to a fraction: \( \frac{55}{100} \)
- Simplify \( \frac{55}{100} \) by dividing numerator and denominator by their GCD, which is 5:
\[
\frac{55 \div 5}{100 \div 5} = \frac{11}{20}
\]
- Fraction: \( \frac{11}{20} \)
#### Row 4: Fraction 3/20
- Percent:
- Convert \( \frac{3}{20} \) to a decimal: \( \frac{3}{20} = 0.15 \)
- Convert 0.15 to a percent: \( 0.15 \times 100 = 15\% \)
- Percent: 15%
- Decimal:
- Convert \( \frac{3}{20} \) to a decimal: \( \frac{3}{20} = 0.15 \)
- Decimal: 0.15
#### Row 5: 100%
- Percent: 100%
- Decimal:
- Convert 100% to a decimal: \( 100 \div 100 = 1.0 \)
- Decimal: 1.0
- Fraction:
- Convert 100% to a fraction: \( \frac{100}{100} \)
- Simplify \( \frac{100}{100} \) to \( 1 \)
- Fraction: \( 1 \) or \( \frac{1}{1} \)
#### Row 6: 88%
- Percent: 88%
- Decimal:
- Convert 88% to a decimal: \( 88 \div 100 = 0.88 \)
- Decimal: 0.88
- Fraction:
- Convert 88% to a fraction: \( \frac{88}{100} \)
- Simplify \( \frac{88}{100} \) by dividing numerator and denominator by their GCD, which is 4:
\[
\frac{88 \div 4}{100 \div 4} = \frac{22}{25}
\]
- Fraction: \( \frac{22}{25} \)
#### Row 7: 20%
- Percent: 20%
- Decimal:
- Convert 20% to a decimal: \( 20 \div 100 = 0.2 \)
- Decimal: 0.2
- Fraction:
- Convert 20% to a fraction: \( \frac{20}{100} \)
- Simplify \( \frac{20}{100} \) by dividing numerator and denominator by their GCD, which is 20:
\[
\frac{20 \div 20}{100 \div 20} = \frac{1}{5}
\]
- Fraction: \( \frac{1}{5} \)
#### Row 8: 57%
- Percent: 57%
- Decimal:
- Convert 57% to a decimal: \( 57 \div 100 = 0.57 \)
- Decimal: 0.57
- Fraction:
- Convert 57% to a fraction: \( \frac{57}{100} \)
- The fraction \( \frac{57}{100} \) is already in simplest form.
- Fraction: \( \frac{57}{100} \)
#### Row 9: Decimal 0.6
- Percent:
- Convert 0.6 to a percent: \( 0.6 \times 100 = 60\% \)
- Percent: 60%
- Fraction:
- Convert 0.6 to a fraction: \( \frac{6}{10} \)
- Simplify \( \frac{6}{10} \) by dividing numerator and denominator by their GCD, which is 2:
\[
\frac{6 \div 2}{10 \div 2} = \frac{3}{5}
\]
- Fraction: \( \frac{3}{5} \)
---
\[
\boxed{
\begin{array}{|c|c|c|}
\hline
\text{PERCENT} & \text{DECIMAL} & \text{FRACTION} \\
\hline
22\% & 0.22 & \frac{11}{50} \\
10\% & 0.1 & \frac{1}{10} \\
55\% & 0.55 & \frac{11}{20} \\
15\% & 0.15 & \frac{3}{20} \\
100\% & 1.0 & 1 \\
88\% & 0.88 & \frac{22}{25} \\
20\% & 0.2 & \frac{1}{5} \\
57\% & 0.57 & \frac{57}{100} \\
60\% & 0.6 & \frac{3}{5} \\
\hline
\end{array}
}
\]
Chart:
| PERCENT | DECIMAL | FRACTION |
|---------|---------|----------|
| 22% | 0.22 | 11/50 |
| 10% | | |
| | 0.55 | |
| | | 3/20 |
| 100% | 0.7 | |
| 88% | | 11/12 |
| 20% | 0.91 | |
| 57% | | 3/5 |
| | 0.6 | 24/25 |
---
Step-by-Step Solution:
#### Row 1: 22%
- Percent: 22%
- Decimal: 0.22
- Fraction:
- Convert 22% to a fraction: \( \frac{22}{100} \)
- Simplify \( \frac{22}{100} \) by dividing numerator and denominator by their greatest common divisor (GCD), which is 2:
\[
\frac{22 \div 2}{100 \div 2} = \frac{11}{50}
\]
- Fraction: \( \frac{11}{50} \)
#### Row 2: 10%
- Percent: 10%
- Decimal:
- Convert 10% to a decimal: \( 10 \div 100 = 0.1 \)
- Decimal: 0.1
- Fraction:
- Convert 10% to a fraction: \( \frac{10}{100} \)
- Simplify \( \frac{10}{100} \) by dividing numerator and denominator by their GCD, which is 10:
\[
\frac{10 \div 10}{100 \div 10} = \frac{1}{10}
\]
- Fraction: \( \frac{1}{10} \)
#### Row 3: Decimal 0.55
- Percent:
- Convert 0.55 to a percent: \( 0.55 \times 100 = 55\% \)
- Percent: 55%
- Fraction:
- Convert 0.55 to a fraction: \( \frac{55}{100} \)
- Simplify \( \frac{55}{100} \) by dividing numerator and denominator by their GCD, which is 5:
\[
\frac{55 \div 5}{100 \div 5} = \frac{11}{20}
\]
- Fraction: \( \frac{11}{20} \)
#### Row 4: Fraction 3/20
- Percent:
- Convert \( \frac{3}{20} \) to a decimal: \( \frac{3}{20} = 0.15 \)
- Convert 0.15 to a percent: \( 0.15 \times 100 = 15\% \)
- Percent: 15%
- Decimal:
- Convert \( \frac{3}{20} \) to a decimal: \( \frac{3}{20} = 0.15 \)
- Decimal: 0.15
#### Row 5: 100%
- Percent: 100%
- Decimal:
- Convert 100% to a decimal: \( 100 \div 100 = 1.0 \)
- Decimal: 1.0
- Fraction:
- Convert 100% to a fraction: \( \frac{100}{100} \)
- Simplify \( \frac{100}{100} \) to \( 1 \)
- Fraction: \( 1 \) or \( \frac{1}{1} \)
#### Row 6: 88%
- Percent: 88%
- Decimal:
- Convert 88% to a decimal: \( 88 \div 100 = 0.88 \)
- Decimal: 0.88
- Fraction:
- Convert 88% to a fraction: \( \frac{88}{100} \)
- Simplify \( \frac{88}{100} \) by dividing numerator and denominator by their GCD, which is 4:
\[
\frac{88 \div 4}{100 \div 4} = \frac{22}{25}
\]
- Fraction: \( \frac{22}{25} \)
#### Row 7: 20%
- Percent: 20%
- Decimal:
- Convert 20% to a decimal: \( 20 \div 100 = 0.2 \)
- Decimal: 0.2
- Fraction:
- Convert 20% to a fraction: \( \frac{20}{100} \)
- Simplify \( \frac{20}{100} \) by dividing numerator and denominator by their GCD, which is 20:
\[
\frac{20 \div 20}{100 \div 20} = \frac{1}{5}
\]
- Fraction: \( \frac{1}{5} \)
#### Row 8: 57%
- Percent: 57%
- Decimal:
- Convert 57% to a decimal: \( 57 \div 100 = 0.57 \)
- Decimal: 0.57
- Fraction:
- Convert 57% to a fraction: \( \frac{57}{100} \)
- The fraction \( \frac{57}{100} \) is already in simplest form.
- Fraction: \( \frac{57}{100} \)
#### Row 9: Decimal 0.6
- Percent:
- Convert 0.6 to a percent: \( 0.6 \times 100 = 60\% \)
- Percent: 60%
- Fraction:
- Convert 0.6 to a fraction: \( \frac{6}{10} \)
- Simplify \( \frac{6}{10} \) by dividing numerator and denominator by their GCD, which is 2:
\[
\frac{6 \div 2}{10 \div 2} = \frac{3}{5}
\]
- Fraction: \( \frac{3}{5} \)
---
Final Answer:
\[
\boxed{
\begin{array}{|c|c|c|}
\hline
\text{PERCENT} & \text{DECIMAL} & \text{FRACTION} \\
\hline
22\% & 0.22 & \frac{11}{50} \\
10\% & 0.1 & \frac{1}{10} \\
55\% & 0.55 & \frac{11}{20} \\
15\% & 0.15 & \frac{3}{20} \\
100\% & 1.0 & 1 \\
88\% & 0.88 & \frac{22}{25} \\
20\% & 0.2 & \frac{1}{5} \\
57\% & 0.57 & \frac{57}{100} \\
60\% & 0.6 & \frac{3}{5} \\
\hline
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of percentage decimal fraction worksheet.