Worksheet for converting fractions to decimals and percentages.

To solve the problem, we need to convert between fractions, decimals, and percentages. Let's fill in the table step by step.

Table Structure:

- Fractions: Represent numbers as parts of a whole.
- Decimals: Represent numbers in base 10.
- Percentages: Represent numbers as parts per hundred.

Conversion Rules:

1. Fraction to Decimal: Divide the numerator by the denominator.
2. Fraction to Percentage: Multiply the fraction by 100.
3. Decimal to Fraction: Write the decimal as a fraction with a power of 10 in the denominator, then simplify.
4. Decimal to Percentage: Multiply the decimal by 100.
5. Percentage to Fraction: Write the percentage as a fraction over 100, then simplify.
6. Percentage to Decimal: Divide the percentage by 100.

Filling in the Table:

#### Row 1: \( \frac{1}{10} \)
- Fraction: \( \frac{1}{10} \)
- Decimal: \( \frac{1}{10} = 0.1 \)
- Percentage: \( \frac{1}{10} \times 100 = 10\% \)

#### Row 2: \( 0.2 \)
- Fraction: \( 0.2 = \frac{2}{10} = \frac{1}{5} \)
- Decimal: \( 0.2 \)
- Percentage: \( 0.2 \times 100 = 20\% \)

#### Row 3: \( \frac{1}{4} \)
- Fraction: \( \frac{1}{4} \)
- Decimal: \( \frac{1}{4} = 0.25 \)
- Percentage: \( \frac{1}{4} \times 100 = 25\% \)

#### Row 4: \( 30\% \)
- Fraction: \( 30\% = \frac{30}{100} = \frac{3}{10} \)
- Decimal: \( 30\% \div 100 = 0.3 \)
- Percentage: \( 30\% \)

#### Row 5: \( \frac{2}{5} \)
- Fraction: \( \frac{2}{5} \)
- Decimal: \( \frac{2}{5} = 0.4 \)
- Percentage: \( \frac{2}{5} \times 100 = 40\% \)

#### Row 6: \( \frac{1}{2} \)
- Fraction: \( \frac{1}{2} \)
- Decimal: \( \frac{1}{2} = 0.5 \)
- Percentage: \( \frac{1}{2} \times 100 = 50\% \) (already given)

#### Row 7: \( 60\% \)
- Fraction: \( 60\% = \frac{60}{100} = \frac{3}{5} \)
- Decimal: \( 60\% \div 100 = 0.6 \)
- Percentage: \( 60\% \)

#### Row 8: \( 0.7 \)
- Fraction: \( 0.7 = \frac{7}{10} \)
- Decimal: \( 0.7 \)
- Percentage: \( 0.7 \times 100 = 70\% \)

#### Row 9: \( 75\% \)
- Fraction: \( 75\% = \frac{75}{100} = \frac{3}{4} \)
- Decimal: \( 75\% \div 100 = 0.75 \)
- Percentage: \( 75\% \)

#### Row 10: \( \frac{8}{10} \)
- Fraction: \( \frac{8}{10} = \frac{4}{5} \)
- Decimal: \( \frac{8}{10} = 0.8 \)
- Percentage: \( \frac{8}{10} \times 100 = 80\% \)

#### Row 11: \( 0.9 \)
- Fraction: \( 0.9 = \frac{9}{10} \)
- Decimal: \( 0.9 \)
- Percentage: \( 0.9 \times 100 = 90\% \)

#### Row 12: \( \frac{1}{1} \)
- Fraction: \( \frac{1}{1} \)
- Decimal: \( \frac{1}{1} = 1.0 \)
- Percentage: \( \frac{1}{1} \times 100 = 100\% \)

Final Table:

| Fractions | Decimals | Percentages |
|-----------|----------|-------------|
| \( \frac{1}{10} \) | 0.1 | 10% |
| \( \frac{1}{5} \) | 0.2 | 20% |
| \( \frac{1}{4} \) | 0.25 | 25% |
| \( \frac{3}{10} \) | 0.3 | 30% |
| \( \frac{2}{5} \) | 0.4 | 40% |
| \( \frac{1}{2} \) | 0.5 | 50% |
| \( \frac{3}{5} \) | 0.6 | 60% |
| \( \frac{7}{10} \) | 0.7 | 70% |
| \( \frac{3}{4} \) | 0.75 | 75% |
| \( \frac{4}{5} \) | 0.8 | 80% |
| \( \frac{9}{10} \) | 0.9 | 90% |
| \( \frac{1}{1} \) | 1.0 | 100% |

Final Answer:

\[
\boxed{
\begin{array}{|c|c|c|}
\hline
\text{Fractions} & \text{Decimals} & \text{Percentages} \\
\hline
\frac{1}{10} & 0.1 & 10\% \\
\frac{1}{5} & 0.2 & 20\% \\
\frac{1}{4} & 0.25 & 25\% \\
\frac{3}{10} & 0.3 & 30\% \\
\frac{2}{5} & 0.4 & 40\% \\
\frac{1}{2} & 0.5 & 50\% \\
\frac{3}{5} & 0.6 & 60\% \\
\frac{7}{10} & 0.7 & 70\% \\
\frac{3}{4} & 0.75 & 75\% \\
\frac{4}{5} & 0.8 & 80\% \\
\frac{9}{10} & 0.9 & 90\% \\
\frac{1}{1} & 1.0 & 100\% \\
\hline
\end{array}
}
\]