Fractions Decimals and Percents Worksheets - Math Monks - Free Printable

To solve the problem of converting between fractions, decimals, and percents, we will fill in the missing values step by step. Here's the breakdown:

Given Table:

| Fractions | Decimals | Percent |
|-----------|----------|---------|
| | 0.22 | |
| $\frac{8}{17}$ | | |
| $\frac{15}{17}$ | | |
| | 0.39 | |
| | | 98.9% |
| | 0.81 | |
| | | $30\frac{1}{5}\%$ |
| $\frac{3}{11}$ | | |
| | 0.293 | |
| | | 38.9% |
| $\frac{6}{7}$ | | |
| | 0.123 | |
| | | 0.08% |
| | 0.008 | |

---

Step-by-Step Solution:

#### Row 1: Decimal = 0.22
- Fraction: To convert a decimal to a fraction, write it as a fraction over 1 and simplify.
$$
0.22 = \frac{22}{100} = \frac{11}{50}
$$
- Percent: To convert a decimal to a percent, multiply by 100.
$$
0.22 \times 100 = 22\%
$$

Filled Row:
| $\frac{11}{50}$ | 0.22 | 22% |

#### Row 2: Fraction = $\frac{8}{17}$
- Decimal: Divide the numerator by the denominator.
$$
\frac{8}{17} \approx 0.4706
$$
- Percent: Convert the decimal to a percent.
$$
0.4706 \times 100 \approx 47.06\%
$$

Filled Row:
| $\frac{8}{17}$ | 0.4706 | 47.06% |

#### Row 3: Fraction = $\frac{15}{17}$
- Decimal: Divide the numerator by the denominator.
$$
\frac{15}{17} \approx 0.8824
$$
- Percent: Convert the decimal to a percent.
$$
0.8824 \times 100 \approx 88.24\%
$$

Filled Row:
| $\frac{15}{17}$ | 0.8824 | 88.24% |

#### Row 4: Decimal = 0.39
- Fraction: Write as a fraction and simplify.
$$
0.39 = \frac{39}{100}
$$
- Percent: Multiply by 100.
$$
0.39 \times 100 = 39\%
$$

Filled Row:
| $\frac{39}{100}$ | 0.39 | 39% |

#### Row 5: Percent = 98.9%
- Decimal: Divide by 100.
$$
98.9\% = \frac{98.9}{100} = 0.989
$$
- Fraction: Write as a fraction and simplify.
$$
0.989 = \frac{989}{1000}
$$

Filled Row:
| $\frac{989}{1000}$ | 0.989 | 98.9% |

#### Row 6: Decimal = 0.81
- Fraction: Write as a fraction and simplify.
$$
0.81 = \frac{81}{100}
$$
- Percent: Multiply by 100.
$$
0.81 \times 100 = 81\%
$$

Filled Row:
| $\frac{81}{100}$ | 0.81 | 81% |

#### Row 7: Percent = $30\frac{1}{5}\%$
- Decimal: Convert the mixed number to an improper fraction and then to a decimal.
$$
30\frac{1}{5}\% = 30.2\% = \frac{30.2}{100} = 0.302
$$
- Fraction: Write as a fraction and simplify.
$$
0.302 = \frac{302}{1000} = \frac{151}{500}
$$

Filled Row:
| $\frac{151}{500}$ | 0.302 | $30\frac{1}{5}\%$ |

#### Row 8: Fraction = $\frac{3}{11}$
- Decimal: Divide the numerator by the denominator.
$$
\frac{3}{11} \approx 0.2727
$$
- Percent: Convert the decimal to a percent.
$$
0.2727 \times 100 \approx 27.27\%
$$

Filled Row:
| $\frac{3}{11}$ | 0.2727 | 27.27% |

#### Row 9: Decimal = 0.293
- Fraction: Write as a fraction and simplify.
$$
0.293 = \frac{293}{1000}
$$
- Percent: Multiply by 100.
$$
0.293 \times 100 = 29.3\%
$$

Filled Row:
| $\frac{293}{1000}$ | 0.293 | 29.3% |

#### Row 10: Percent = 38.9%
- Decimal: Divide by 100.
$$
38.9\% = \frac{38.9}{100} = 0.389
$$
- Fraction: Write as a fraction and simplify.
$$
0.389 = \frac{389}{1000}
$$

Filled Row:
| $\frac{389}{1000}$ | 0.389 | 38.9% |

#### Row 11: Fraction = $\frac{6}{7}$
- Decimal: Divide the numerator by the denominator.
$$
\frac{6}{7} \approx 0.8571
$$
- Percent: Convert the decimal to a percent.
$$
0.8571 \times 100 \approx 85.71\%
$$

Filled Row:
| $\frac{6}{7}$ | 0.8571 | 85.71% |

#### Row 12: Decimal = 0.123
- Fraction: Write as a fraction and simplify.
$$
0.123 = \frac{123}{1000}
$$
- Percent: Multiply by 100.
$$
0.123 \times 100 = 12.3\%
$$

Filled Row:
| $\frac{123}{1000}$ | 0.123 | 12.3% |

#### Row 13: Percent = 0.08%
- Decimal: Divide by 100.
$$
0.08\% = \frac{0.08}{100} = 0.0008
$$
- Fraction: Write as a fraction and simplify.
$$
0.0008 = \frac{8}{10000} = \frac{1}{1250}
$$

Filled Row:
| $\frac{1}{1250}$ | 0.0008 | 0.08% |

#### Row 14: Decimal = 0.008
- Fraction: Write as a fraction and simplify.
$$
0.008 = \frac{8}{1000} = \frac{1}{125}
$$
- Percent: Multiply by 100.
$$
0.008 \times 100 = 0.8\%
$$

Filled Row:
| $\frac{1}{125}$ | 0.008 | 0.8% |

---

Final Filled Table:

| Fractions | Decimals | Percent |
|-----------------|----------|--------------|
| $\frac{11}{50}$ | 0.22 | 22% |
| $\frac{8}{17}$ | 0.4706 | 47.06% |
| $\frac{15}{17}$ | 0.8824 | 88.24% |
| $\frac{39}{100}$| 0.39 | 39% |
| $\frac{989}{1000}$ | 0.989 | 98.9% |
| $\frac{81}{100}$ | 0.81 | 81% |
| $\frac{151}{500}$ | 0.302 | $30\frac{1}{5}\%$ |
| $\frac{3}{11}$ | 0.2727 | 27.27% |
| $\frac{293}{1000}$ | 0.293 | 29.3% |
| $\frac{389}{1000}$ | 0.389 | 38.9% |
| $\frac{6}{7}$ | 0.8571 | 85.71% |
| $\frac{123}{1000}$ | 0.123 | 12.3% |
| $\frac{1}{1250}$ | 0.0008 | 0.08% |
| $\frac{1}{125}$ | 0.008 | 0.8% |

---

Final Answer:

$$
\boxed{
\begin{array}{|c|c|c|}
\hline
\text{Fractions} & \text{Decimals} & \text{Percent} \\
\hline
\frac{11}{50} & 0.22 & 22\% \\
\frac{8}{17} & 0.4706 & 47.06\% \\
\frac{15}{17} & 0.8824 & 88.24\% \\
\frac{39}{100} & 0.39 & 39\% \\
\frac{989}{1000} & 0.989 & 98.9\% \\
\frac{81}{100} & 0.81 & 81\% \\
\frac{151}{500} & 0.302 & 30\frac{1}{5}\% \\
\frac{3}{11} & 0.2727 & 27.27\% \\
\frac{293}{1000} & 0.293 & 29.3\% \\
\frac{389}{1000} & 0.389 & 38.9\% \\
\frac{6}{7} & 0.8571 & 85.71\% \\
\frac{123}{1000} & 0.123 & 12.3\% \\
\frac{1}{1250} & 0.0008 & 0.08\% \\
\frac{1}{125} & 0.008 & 0.8\% \\
\hline
\end{array}
}
$$