Use this table to practice converting the given percentages into their equivalent decimal and fraction forms.
Fraction decimal percentage conversion worksheet with a table for students to fill in missing values.
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Show Answer Key & Explanations
Step-by-step solution for: Grade 6 Fraction, Decimal & Percentage Worksheets | Math Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Grade 6 Fraction, Decimal & Percentage Worksheets | Math 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 Percentage to Decimal: Divide the percentage by 100.
2. From Percentage to Fraction: Write the percentage as a fraction over 100, then simplify if possible.
- 66%
- 21%
- 27%
- 83%
- 69%
- 95%
- 88%
- 71%
- 19%
- 24%
#### 1. 66%
- Decimal: \( \frac{66}{100} = 0.66 \)
- Fraction: \( \frac{66}{100} \) can be simplified by dividing both numerator and denominator by their greatest common divisor (GCD), which is 2.
\[
\frac{66 \div 2}{100 \div 2} = \frac{33}{50}
\]
- Result: Decimal = 0.66, Fraction = \( \frac{33}{50} \)
#### 2. 21%
- Decimal: \( \frac{21}{100} = 0.21 \)
- Fraction: \( \frac{21}{100} \) is already in simplest form.
- Result: Decimal = 0.21, Fraction = \( \frac{21}{100} \)
#### 3. 27%
- Decimal: \( \frac{27}{100} = 0.27 \)
- Fraction: \( \frac{27}{100} \) is already in simplest form.
- Result: Decimal = 0.27, Fraction = \( \frac{27}{100} \)
#### 4. 83%
- Decimal: \( \frac{83}{100} = 0.83 \)
- Fraction: \( \frac{83}{100} \) is already in simplest form.
- Result: Decimal = 0.83, Fraction = \( \frac{83}{100} \)
#### 5. 69%
- Decimal: \( \frac{69}{100} = 0.69 \)
- Fraction: \( \frac{69}{100} \) is already in simplest form.
- Result: Decimal = 0.69, Fraction = \( \frac{69}{100} \)
#### 6. 95%
- Decimal: \( \frac{95}{100} = 0.95 \)
- Fraction: Simplify \( \frac{95}{100} \) by dividing both numerator and denominator by their GCD, which is 5.
\[
\frac{95 \div 5}{100 \div 5} = \frac{19}{20}
\]
- Result: Decimal = 0.95, Fraction = \( \frac{19}{20} \)
#### 7. 88%
- Decimal: \( \frac{88}{100} = 0.88 \)
- Fraction: Simplify \( \frac{88}{100} \) by dividing both numerator and denominator by their GCD, which is 4.
\[
\frac{88 \div 4}{100 \div 4} = \frac{22}{25}
\]
- Result: Decimal = 0.88, Fraction = \( \frac{22}{25} \)
#### 8. 71%
- Decimal: \( \frac{71}{100} = 0.71 \)
- Fraction: \( \frac{71}{100} \) is already in simplest form.
- Result: Decimal = 0.71, Fraction = \( \frac{71}{100} \)
#### 9. 19%
- Decimal: \( \frac{19}{100} = 0.19 \)
- Fraction: \( \frac{19}{100} \) is already in simplest form.
- Result: Decimal = 0.19, Fraction = \( \frac{19}{100} \)
#### 10. 24%
- Decimal: \( \frac{24}{100} = 0.24 \)
- Fraction: Simplify \( \frac{24}{100} \) by dividing both numerator and denominator by their GCD, which is 4.
\[
\frac{24 \div 4}{100 \div 4} = \frac{6}{25}
\]
- Result: Decimal = 0.24, Fraction = \( \frac{6}{25} \)
\[
\begin{array}{|c|c|c|}
\hline
\text{Fraction} & \text{Decimal} & \text{Percentage} \\
\hline
\frac{33}{50} & 0.66 & 66\% \\
\frac{21}{100} & 0.21 & 21\% \\
\frac{27}{100} & 0.27 & 27\% \\
\frac{83}{100} & 0.83 & 83\% \\
\frac{69}{100} & 0.69 & 69\% \\
\frac{19}{20} & 0.95 & 95\% \\
\frac{22}{25} & 0.88 & 88\% \\
\frac{71}{100} & 0.71 & 71\% \\
\frac{19}{100} & 0.19 & 19\% \\
\frac{6}{25} & 0.24 & 24\% \\
\hline
\end{array}
\]
\boxed{
\begin{array}{|c|c|c|}
\hline
\text{Fraction} & \text{Decimal} & \text{Percentage} \\
\hline
\frac{33}{50} & 0.66 & 66\% \\
\frac{21}{100} & 0.21 & 21\% \\
\frac{27}{100} & 0.27 & 27\% \\
\frac{83}{100} & 0.83 & 83\% \\
\frac{69}{100} & 0.69 & 69\% \\
\frac{19}{20} & 0.95 & 95\% \\
\frac{22}{25} & 0.88 & 88\% \\
\frac{71}{100} & 0.71 & 71\% \\
\frac{19}{100} & 0.19 & 19\% \\
\frac{6}{25} & 0.24 & 24\% \\
\hline
\end{array}
}
Conversion Process:
1. From Percentage to Decimal: Divide the percentage by 100.
2. From Percentage to Fraction: Write the percentage as a fraction over 100, then simplify if possible.
Given Percentages:
- 66%
- 21%
- 27%
- 83%
- 69%
- 95%
- 88%
- 71%
- 19%
- 24%
Step-by-Step Solution:
#### 1. 66%
- Decimal: \( \frac{66}{100} = 0.66 \)
- Fraction: \( \frac{66}{100} \) can be simplified by dividing both numerator and denominator by their greatest common divisor (GCD), which is 2.
\[
\frac{66 \div 2}{100 \div 2} = \frac{33}{50}
\]
- Result: Decimal = 0.66, Fraction = \( \frac{33}{50} \)
#### 2. 21%
- Decimal: \( \frac{21}{100} = 0.21 \)
- Fraction: \( \frac{21}{100} \) is already in simplest form.
- Result: Decimal = 0.21, Fraction = \( \frac{21}{100} \)
#### 3. 27%
- Decimal: \( \frac{27}{100} = 0.27 \)
- Fraction: \( \frac{27}{100} \) is already in simplest form.
- Result: Decimal = 0.27, Fraction = \( \frac{27}{100} \)
#### 4. 83%
- Decimal: \( \frac{83}{100} = 0.83 \)
- Fraction: \( \frac{83}{100} \) is already in simplest form.
- Result: Decimal = 0.83, Fraction = \( \frac{83}{100} \)
#### 5. 69%
- Decimal: \( \frac{69}{100} = 0.69 \)
- Fraction: \( \frac{69}{100} \) is already in simplest form.
- Result: Decimal = 0.69, Fraction = \( \frac{69}{100} \)
#### 6. 95%
- Decimal: \( \frac{95}{100} = 0.95 \)
- Fraction: Simplify \( \frac{95}{100} \) by dividing both numerator and denominator by their GCD, which is 5.
\[
\frac{95 \div 5}{100 \div 5} = \frac{19}{20}
\]
- Result: Decimal = 0.95, Fraction = \( \frac{19}{20} \)
#### 7. 88%
- Decimal: \( \frac{88}{100} = 0.88 \)
- Fraction: Simplify \( \frac{88}{100} \) by dividing both numerator and denominator by their GCD, which is 4.
\[
\frac{88 \div 4}{100 \div 4} = \frac{22}{25}
\]
- Result: Decimal = 0.88, Fraction = \( \frac{22}{25} \)
#### 8. 71%
- Decimal: \( \frac{71}{100} = 0.71 \)
- Fraction: \( \frac{71}{100} \) is already in simplest form.
- Result: Decimal = 0.71, Fraction = \( \frac{71}{100} \)
#### 9. 19%
- Decimal: \( \frac{19}{100} = 0.19 \)
- Fraction: \( \frac{19}{100} \) is already in simplest form.
- Result: Decimal = 0.19, Fraction = \( \frac{19}{100} \)
#### 10. 24%
- Decimal: \( \frac{24}{100} = 0.24 \)
- Fraction: Simplify \( \frac{24}{100} \) by dividing both numerator and denominator by their GCD, which is 4.
\[
\frac{24 \div 4}{100 \div 4} = \frac{6}{25}
\]
- Result: Decimal = 0.24, Fraction = \( \frac{6}{25} \)
Final Answer:
\[
\begin{array}{|c|c|c|}
\hline
\text{Fraction} & \text{Decimal} & \text{Percentage} \\
\hline
\frac{33}{50} & 0.66 & 66\% \\
\frac{21}{100} & 0.21 & 21\% \\
\frac{27}{100} & 0.27 & 27\% \\
\frac{83}{100} & 0.83 & 83\% \\
\frac{69}{100} & 0.69 & 69\% \\
\frac{19}{20} & 0.95 & 95\% \\
\frac{22}{25} & 0.88 & 88\% \\
\frac{71}{100} & 0.71 & 71\% \\
\frac{19}{100} & 0.19 & 19\% \\
\frac{6}{25} & 0.24 & 24\% \\
\hline
\end{array}
\]
\boxed{
\begin{array}{|c|c|c|}
\hline
\text{Fraction} & \text{Decimal} & \text{Percentage} \\
\hline
\frac{33}{50} & 0.66 & 66\% \\
\frac{21}{100} & 0.21 & 21\% \\
\frac{27}{100} & 0.27 & 27\% \\
\frac{83}{100} & 0.83 & 83\% \\
\frac{69}{100} & 0.69 & 69\% \\
\frac{19}{20} & 0.95 & 95\% \\
\frac{22}{25} & 0.88 & 88\% \\
\frac{71}{100} & 0.71 & 71\% \\
\frac{19}{100} & 0.19 & 19\% \\
\frac{6}{25} & 0.24 & 24\% \\
\hline
\end{array}
}
Parent Tip: Review the logic above to help your child master the concept of fractions percents and decimals worksheet.