Fractions Decimals Percents Worksheets - Free Printable

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

Conversion Rules:

1. Decimal to Percent: Multiply the decimal by 100 and add the `%` symbol.
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-by-Step Solution:

#### 1. 0.9
- Percent: \( 0.9 \times 100 = 90\% \)
- Fraction: \( 0.9 = \frac{9}{10} \)

#### 2. 0.28
- Percent: \( 0.28 \times 100 = 28\% \)
- Fraction: \( 0.28 = \frac{28}{100} = \frac{7}{25} \) (simplified by dividing numerator and denominator by 4)

#### 3. 0.84
- Percent: \( 0.84 \times 100 = 84\% \)
- Fraction: \( 0.84 = \frac{84}{100} = \frac{21}{25} \) (simplified by dividing numerator and denominator by 4)

#### 4. 0.75
- Percent: \( 0.75 \times 100 = 75\% \)
- Fraction: \( 0.75 = \frac{75}{100} = \frac{3}{4} \) (simplified by dividing numerator and denominator by 25)

#### 5. 0.3
- Percent: \( 0.3 \times 100 = 30\% \)
- Fraction: \( 0.3 = \frac{3}{10} \)

#### 6. 0.09
- Percent: \( 0.09 \times 100 = 9\% \)
- Fraction: \( 0.09 = \frac{9}{100} \)

#### 7. 0.375
- Percent: \( 0.375 \times 100 = 37.5\% \)
- Fraction: \( 0.375 = \frac{375}{1000} = \frac{3}{8} \) (simplified by dividing numerator and denominator by 125)

#### 8. 1.4
- Percent: \( 1.4 \times 100 = 140\% \)
- Fraction: \( 1.4 = \frac{14}{10} = \frac{7}{5} \) (simplified by dividing numerator and denominator by 2)

#### 9. 0.27
- Percent: \( 0.27 \times 100 = 27\% \)
- Fraction: \( 0.27 = \frac{27}{100} \)

#### 10. 0.15
- Percent: \( 0.15 \times 100 = 15\% \)
- Fraction: \( 0.15 = \frac{15}{100} = \frac{3}{20} \) (simplified by dividing numerator and denominator by 5)

#### 11. 0.006
- Percent: \( 0.006 \times 100 = 0.6\% \)
- Fraction: \( 0.006 = \frac{6}{1000} = \frac{3}{500} \) (simplified by dividing numerator and denominator by 2)

#### 12. 0.625
- Percent: \( 0.625 \times 100 = 62.5\% \)
- Fraction: \( 0.625 = \frac{625}{1000} = \frac{5}{8} \) (simplified by dividing numerator and denominator by 125)

#### 13. 1.75
- Percent: \( 1.75 \times 100 = 175\% \)
- Fraction: \( 1.75 = \frac{175}{100} = \frac{7}{4} \) (simplified by dividing numerator and denominator by 25)

#### 14. 1.14
- Percent: \( 1.14 \times 100 = 114\% \)
- Fraction: \( 1.14 = \frac{114}{100} = \frac{57}{50} \) (simplified by dividing numerator and denominator by 2)

#### 15. 0.72
- Percent: \( 0.72 \times 100 = 72\% \)
- Fraction: \( 0.72 = \frac{72}{100} = \frac{18}{25} \) (simplified by dividing numerator and denominator by 4)

#### 16. 0.01
- Percent: \( 0.01 \times 100 = 1\% \)
- Fraction: \( 0.01 = \frac{1}{100} \)

Final Answer:

\[
\begin{array}{|c|c|c|}
\hline
\text{DECIMAL} & \text{PERCENT} & \text{FRACTION} \\
\hline
0.25 & 25\% & \frac{25}{100} = \frac{1}{4} \\
0.9 & 90\% & \frac{9}{10} \\
0.28 & 28\% & \frac{28}{100} = \frac{7}{25} \\
0.84 & 84\% & \frac{84}{100} = \frac{21}{25} \\
0.75 & 75\% & \frac{75}{100} = \frac{3}{4} \\
0.3 & 30\% & \frac{3}{10} \\
0.09 & 9\% & \frac{9}{100} \\
0.375 & 37.5\% & \frac{375}{1000} = \frac{3}{8} \\
1.4 & 140\% & \frac{14}{10} = \frac{7}{5} \\
0.27 & 27\% & \frac{27}{100} \\
0.15 & 15\% & \frac{15}{100} = \frac{3}{20} \\
0.006 & 0.6\% & \frac{6}{1000} = \frac{3}{500} \\
0.625 & 62.5\% & \frac{625}{1000} = \frac{5}{8} \\
1.75 & 175\% & \frac{175}{100} = \frac{7}{4} \\
1.14 & 114\% & \frac{114}{100} = \frac{57}{50} \\
0.72 & 72\% & \frac{72}{100} = \frac{18}{25} \\
0.01 & 1\% & \frac{1}{100} \\
\hline
\end{array}
\]

\boxed{
\begin{array}{|c|c|c|}
\hline
\text{DECIMAL} & \text{PERCENT} & \text{FRACTION} \\
\hline
0.25 & 25\% & \frac{1}{4} \\
0.9 & 90\% & \frac{9}{10} \\
0.28 & 28\% & \frac{7}{25} \\
0.84 & 84\% & \frac{21}{25} \\
0.75 & 75\% & \frac{3}{4} \\
0.3 & 30\% & \frac{3}{10} \\
0.09 & 9\% & \frac{9}{100} \\
0.375 & 37.5\% & \frac{3}{8} \\
1.4 & 140\% & \frac{7}{5} \\
0.27 & 27\% & \frac{27}{100} \\
0.15 & 15\% & \frac{3}{20} \\
0.006 & 0.6\% & \frac{3}{500} \\
0.625 & 62.5\% & \frac{5}{8} \\
1.75 & 175\% & \frac{7}{4} \\
1.14 & 114\% & \frac{57}{50} \\
0.72 & 72\% & \frac{18}{25} \\
0.01 & 1\% & \frac{1}{100} \\
\hline
\end{array}
}