Worksheet for converting fractions to decimals, percents, and ratios.

To solve the problem, we need to convert each given fraction into its decimal, percent, and ratio forms. Let's go through each step systematically.

General Conversion Rules:

1. Fraction to Decimal: Divide the numerator by the denominator.
2. Decimal to Percent: Multiply the decimal by 100.
3. Fraction to Ratio: The fraction itself represents the part-to-whole ratio.

Step-by-Step Solution:

#### 1. $\frac{1}{2}$
- Decimal: $ \frac{1}{2} = 0.5 $
- Percent: $ 0.5 \times 100 = 50\% $
- Ratio: $ 1:2 $

#### 2. $\frac{9}{10}$
- Decimal: $ \frac{9}{10} = 0.9 $
- Percent: $ 0.9 \times 100 = 90\% $
- Ratio: $ 9:10 $

#### 3. $\frac{3}{10}$
- Decimal: $ \frac{3}{10} = 0.3 $
- Percent: $ 0.3 \times 100 = 30\% $
- Ratio: $ 3:10 $

#### 4. $\frac{4}{5}$
- Decimal: $ \frac{4}{5} = 0.8 $
- Percent: $ 0.8 \times 100 = 80\% $
- Ratio: $ 4:5 $

#### 5. $\frac{3}{4}$
- Decimal: $ \frac{3}{4} = 0.75 $
- Percent: $ 0.75 \times 100 = 75\% $
- Ratio: $ 3:4 $

#### 6. $\frac{13}{20}$
- Decimal: $ \frac{13}{20} = 0.65 $
- Percent: $ 0.65 \times 100 = 65\% $
- Ratio: $ 13:20 $

#### 7. $\frac{5}{8}$
- Decimal: $ \frac{5}{8} = 0.625 $
- Percent: $ 0.625 \times 100 = 62.5\% $
- Ratio: $ 5:8 $

#### 8. $\frac{2}{5}$
- Decimal: $ \frac{2}{5} = 0.4 $
- Percent: $ 0.4 \times 100 = 40\% $
- Ratio: $ 2:5 $

#### 9. $\frac{3}{8}$
- Decimal: $ \frac{3}{8} = 0.375 $
- Percent: $ 0.375 \times 100 = 37.5\% $
- Ratio: $ 3:8 $

#### 10. $\frac{1}{4}$
- Decimal: $ \frac{1}{4} = 0.25 $
- Percent: $ 0.25 \times 100 = 25\% $
- Ratio: $ 1:4 $

Final Answer:

\[
\begin{array}{|c|c|c|c|c|}
\hline
\text{Fraction} & \text{Decimal} & \text{Percent} & \text{Ratio} \\
\hline
1. & \frac{1}{2} & 0.5 & 50\% & 1:2 \\
\hline
2. & \frac{9}{10} & 0.9 & 90\% & 9:10 \\
\hline
3. & \frac{3}{10} & 0.3 & 30\% & 3:10 \\
\hline
4. & \frac{4}{5} & 0.8 & 80\% & 4:5 \\
\hline
5. & \frac{3}{4} & 0.75 & 75\% & 3:4 \\
\hline
6. & \frac{13}{20} & 0.65 & 65\% & 13:20 \\
\hline
7. & \frac{5}{8} & 0.625 & 62.5\% & 5:8 \\
\hline
8. & \frac{2}{5} & 0.4 & 40\% & 2:5 \\
\hline
9. & \frac{3}{8} & 0.375 & 37.5\% & 3:8 \\
\hline
10. & \frac{1}{4} & 0.25 & 25\% & 1:4 \\
\hline
\end{array}
\]

\boxed{
\begin{array}{|c|c|c|c|c|}
\hline
\text{Fraction} & \text{Decimal} & \text{Percent} & \text{Ratio} \\
\hline
1. & \frac{1}{2} & 0.5 & 50\% & 1:2 \\
\hline
2. & \frac{9}{10} & 0.9 & 90\% & 9:10 \\
\hline
3. & \frac{3}{10} & 0.3 & 30\% & 3:10 \\
\hline
4. & \frac{4}{5} & 0.8 & 80\% & 4:5 \\
\hline
5. & \frac{3}{4} & 0.75 & 75\% & 3:4 \\
\hline
6. & \frac{13}{20} & 0.65 & 65\% & 13:20 \\
\hline
7. & \frac{5}{8} & 0.625 & 62.5\% & 5:8 \\
\hline
8. & \frac{2}{5} & 0.4 & 40\% & 2:5 \\
\hline
9. & \frac{3}{8} & 0.375 & 37.5\% & 3:8 \\
\hline
10. & \frac{1}{4} & 0.25 & 25\% & 1:4 \\
\hline
\end{array}
}