Fractions Decimals Percents Worksheets - Free Printable

To solve the problem, we need to convert the given decimals into percentages and fractions. Let's go through each step systematically.

Step 1: Understand the Conversion Rules

1. Decimal to Percentage: Multiply the decimal by 100 and add the percentage symbol (%).
\[
\text{Percentage} = \text{Decimal} \times 100
\]

2. 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 the fraction if possible.

Step 2: Solve Each Row

#### Row 1: Decimal = 0.25
- Percentage:
\[
0.25 \times 100 = 25\%
\]
- Fraction:
\[
0.25 = \frac{25}{100} = \frac{1}{4}
\]

#### Row 2: Decimal = 0.5
- Percentage:
\[
0.5 \times 100 = 50\%
\]
- Fraction:
\[
0.5 = \frac{5}{10} = \frac{1}{2}
\]

#### Row 3: Decimal = 0.28
- Percentage:
\[
0.28 \times 100 = 28\%
\]
- Fraction:
\[
0.28 = \frac{28}{100} = \frac{7}{25}
\]

#### Row 4: Decimal = 0.64
- Percentage:
\[
0.64 \times 100 = 64\%
\]
- Fraction:
\[
0.64 = \frac{64}{100} = \frac{16}{25}
\]

#### Row 5: Decimal = 0.75
- Percentage:
\[
0.75 \times 100 = 75\%
\]
- Fraction:
\[
0.75 = \frac{75}{100} = \frac{3}{4}
\]

#### Row 6: Decimal = 0.09
- Percentage:
\[
0.09 \times 100 = 9\%
\]
- Fraction:
\[
0.09 = \frac{9}{100}
\]

#### Row 7: Decimal = 0.275
- Percentage:
\[
0.275 \times 100 = 27.5\%
\]
- Fraction:
\[
0.275 = \frac{275}{1000} = \frac{11}{40}
\]

#### Row 8: Decimal = 1.4
- Percentage:
\[
1.4 \times 100 = 140\%
\]
- Fraction:
\[
1.4 = \frac{14}{10} = \frac{7}{5}
\]

#### Row 9: Decimal = 0.27
- Percentage:
\[
0.27 \times 100 = 27\%
\]
- Fraction:
\[
0.27 = \frac{27}{100}
\]

#### Row 10: Decimal = 0.15
- Percentage:
\[
0.15 \times 100 = 15\%
\]
- Fraction:
\[
0.15 = \frac{15}{100} = \frac{3}{20}
\]

#### Row 11: Decimal = 0.375
- Percentage:
\[
0.375 \times 100 = 37.5\%
\]
- Fraction:
\[
0.375 = \frac{375}{1000} = \frac{3}{8}
\]

#### Row 12: Decimal = 0.625
- Percentage:
\[
0.625 \times 100 = 62.5\%
\]
- Fraction:
\[
0.625 = \frac{625}{1000} = \frac{5}{8}
\]

#### Row 13: Decimal = 1.75
- Percentage:
\[
1.75 \times 100 = 175\%
\]
- Fraction:
\[
1.75 = \frac{175}{100} = \frac{7}{4}
\]

#### Row 14: Decimal = 1.5
- Percentage:
\[
1.5 \times 100 = 150\%
\]
- Fraction:
\[
1.5 = \frac{15}{10} = \frac{3}{2}
\]

#### Row 15: Decimal = 0.01
- Percentage:
\[
0.01 \times 100 = 1\%
\]
- Fraction:
\[
0.01 = \frac{1}{100}
\]

Final Answer

Here is the completed table:

| DECIMAL | PERCENT | FRACTION |
|---------|---------|----------|
| 0.25 | 25% | $\frac{1}{4}$ |
| 0.5 | 50% | $\frac{1}{2}$ |
| 0.28 | 28% | $\frac{7}{25}$ |
| 0.64 | 64% | $\frac{16}{25}$ |
| 0.75 | 75% | $\frac{3}{4}$ |
| 0.09 | 9% | $\frac{9}{100}$ |
| 0.275 | 27.5% | $\frac{11}{40}$ |
| 1.4 | 140% | $\frac{7}{5}$ |
| 0.27 | 27% | $\frac{27}{100}$ |
| 0.15 | 15% | $\frac{3}{20}$ |
| 0.375 | 37.5% | $\frac{3}{8}$ |
| 0.625 | 62.5% | $\frac{5}{8}$ |
| 1.75 | 175% | $\frac{7}{4}$ |
| 1.5 | 150% | $\frac{3}{2}$ |
| 0.01 | 1% | $\frac{1}{100}$ |

$$
\boxed{
\begin{array}{|c|c|c|}
\hline
\text{DECIMAL} & \text{PERCENT} & \text{FRACTION} \\
\hline
0.25 & 25\% & \frac{1}{4} \\
0.5 & 50\% & \frac{1}{2} \\
0.28 & 28\% & \frac{7}{25} \\
0.64 & 64\% & \frac{16}{25} \\
0.75 & 75\% & \frac{3}{4} \\
0.09 & 9\% & \frac{9}{100} \\
0.275 & 27.5\% & \frac{11}{40} \\
1.4 & 140\% & \frac{7}{5} \\
0.27 & 27\% & \frac{27}{100} \\
0.15 & 15\% & \frac{3}{20} \\
0.375 & 37.5\% & \frac{3}{8} \\
0.625 & 62.5\% & \frac{5}{8} \\
1.75 & 175\% & \frac{7}{4} \\
1.5 & 150\% & \frac{3}{2} \\
0.01 & 1\% & \frac{1}{100} \\
\hline
\end{array}
}
$$