Grade 6 Fraction, Decimal & Percentage Worksheets | Math Worksheets - Free Printable

To solve the problem, we need to convert each decimal into a fraction and a percentage. Let's go through each step systematically.

Step 1: Understand the conversions

1. Decimal to Fraction: Write the decimal as a fraction with the denominator being a power of 10 (based on the number of decimal places), then simplify.
2. Decimal to Percentage: Multiply the decimal by 100 and add the percentage symbol (%).

Step 2: Perform the conversions for each decimal

#### Decimal: 0.15
- Fraction:
\( 0.15 = \frac{15}{100} \)
Simplify \( \frac{15}{100} \):
\( \frac{15 \div 5}{100 \div 5} = \frac{3}{20} \)
So, the fraction is \( \frac{3}{20} \).
- Percentage:
\( 0.15 \times 100 = 15\% \)

#### Decimal: 0.63
- Fraction:
\( 0.63 = \frac{63}{100} \)
The fraction \( \frac{63}{100} \) is already in simplest form.
So, the fraction is \( \frac{63}{100} \).
- Percentage:
\( 0.63 \times 100 = 63\% \)

#### Decimal: 0.67
- Fraction:
\( 0.67 = \frac{67}{100} \)
The fraction \( \frac{67}{100} \) is already in simplest form.
So, the fraction is \( \frac{67}{100} \).
- Percentage:
\( 0.67 \times 100 = 67\% \)

#### Decimal: 0.08
- Fraction:
\( 0.08 = \frac{8}{100} \)
Simplify \( \frac{8}{100} \):
\( \frac{8 \div 4}{100 \div 4} = \frac{2}{25} \)
So, the fraction is \( \frac{2}{25} \).
- Percentage:
\( 0.08 \times 100 = 8\% \)

#### Decimal: 0.16
- Fraction:
\( 0.16 = \frac{16}{100} \)
Simplify \( \frac{16}{100} \):
\( \frac{16 \div 4}{100 \div 4} = \frac{4}{25} \)
So, the fraction is \( \frac{4}{25} \).
- Percentage:
\( 0.16 \times 100 = 16\% \)

#### Decimal: 0.22
- Fraction:
\( 0.22 = \frac{22}{100} \)
Simplify \( \frac{22}{100} \):
\( \frac{22 \div 2}{100 \div 2} = \frac{11}{50} \)
So, the fraction is \( \frac{11}{50} \).
- Percentage:
\( 0.22 \times 100 = 22\% \)

#### Decimal: 0.34
- Fraction:
\( 0.34 = \frac{34}{100} \)
Simplify \( \frac{34}{100} \):
\( \frac{34 \div 2}{100 \div 2} = \frac{17}{50} \)
So, the fraction is \( \frac{17}{50} \).
- Percentage:
\( 0.34 \times 100 = 34\% \)

#### Decimal: 0.07
- Fraction:
\( 0.07 = \frac{7}{100} \)
The fraction \( \frac{7}{100} \) is already in simplest form.
So, the fraction is \( \frac{7}{100} \).
- Percentage:
\( 0.07 \times 100 = 7\% \)

#### Decimal: 0.3
- Fraction:
\( 0.3 = \frac{3}{10} \)
The fraction \( \frac{3}{10} \) is already in simplest form.
So, the fraction is \( \frac{3}{10} \).
- Percentage:
\( 0.3 \times 100 = 30\% \)

#### Decimal: 0.54
- Fraction:
\( 0.54 = \frac{54}{100} \)
Simplify \( \frac{54}{100} \):
\( \frac{54 \div 2}{100 \div 2} = \frac{27}{50} \)
So, the fraction is \( \frac{27}{50} \).
- Percentage:
\( 0.54 \times 100 = 54\% \)

Step 3: Fill in the table

| Fraction | Decimal | Percentage |
|------------|---------|------------|
| \( \frac{3}{20} \) | 0.15 | 15% |
| \( \frac{63}{100} \) | 0.63 | 63% |
| \( \frac{67}{100} \) | 0.67 | 67% |
| \( \frac{2}{25} \) | 0.08 | 8% |
| \( \frac{4}{25} \) | 0.16 | 16% |
| \( \frac{11}{50} \) | 0.22 | 22% |
| \( \frac{17}{50} \) | 0.34 | 34% |
| \( \frac{7}{100} \) | 0.07 | 7% |
| \( \frac{3}{10} \) | 0.3 | 30% |
| \( \frac{27}{50} \) | 0.54 | 54% |

Final Answer:

\[
\boxed{
\begin{array}{|c|c|c|}
\hline
\text{Fraction} & \text{Decimal} & \text{Percentage} \\
\hline
\frac{3}{20} & 0.15 & 15\% \\
\frac{63}{100} & 0.63 & 63\% \\
\frac{67}{100} & 0.67 & 67\% \\
\frac{2}{25} & 0.08 & 8\% \\
\frac{4}{25} & 0.16 & 16\% \\
\frac{11}{50} & 0.22 & 22\% \\
\frac{17}{50} & 0.34 & 34\% \\
\frac{7}{100} & 0.07 & 7\% \\
\frac{3}{10} & 0.3 & 30\% \\
\frac{27}{50} & 0.54 & 54\% \\
\hline
\end{array}
}
\]