Fractions, Decimals, and Percents (D) Worksheet | 6th Grade PDF ... - Free Printable

To solve the problem, we need to convert fractions to decimals and percentages, and vice versa. Let's go through each row step by step.

Row 1: \( \frac{1}{8} \)

- Fraction: \( \frac{1}{8} \)
- Decimal: Divide 1 by 8:
\[
1 \div 8 = 0.125
\]
- Percentage: Multiply the decimal by 100:
\[
0.125 \times 100 = 12.5\%
\]

Row 2: Decimal \( 0.375 \)

- Fraction: Convert \( 0.375 \) to a fraction. Since \( 0.375 = \frac{375}{1000} \), simplify:
\[
\frac{375}{1000} = \frac{3}{8}
\]
- Percentage: Multiply the decimal by 100:
\[
0.375 \times 100 = 37.5\%
\]

Row 3: Percentage \( 33 \frac{1}{3}\% \)

- Fraction: \( 33 \frac{1}{3}\% = \frac{100}{3}\% \). Convert to a fraction:
\[
\frac{100}{3} \div 100 = \frac{1}{3}
\]
- Decimal: Divide 1 by 3:
\[
1 \div 3 = 0.\overline{3}
\]

Row 4: Decimal \( 0.\overline{6} \)

- Fraction: \( 0.\overline{6} \) is equivalent to \( \frac{2}{3} \).
- Percentage: Multiply the decimal by 100:
\[
0.\overline{6} \times 100 = 66.\overline{6}\%
\]

Row 5: Percentage \( 2.5\% \)

- Fraction: \( 2.5\% = \frac{2.5}{100} = \frac{25}{1000} = \frac{1}{40} \).
- Decimal: Divide 1 by 40:
\[
1 \div 40 = 0.025
\]

Row 6: Decimal \( 0.005 \)

- Fraction: \( 0.005 = \frac{5}{1000} = \frac{1}{200} \).
- Percentage: Multiply the decimal by 100:
\[
0.005 \times 100 = 0.5\%
\]

Row 7: Fraction \( \frac{7}{40} \)

- Decimal: Divide 7 by 40:
\[
7 \div 40 = 0.175
\]
- Percentage: Multiply the decimal by 100:
\[
0.175 \times 100 = 17.5\%
\]

Row 8: Fraction \( \frac{1}{9} \)

- Decimal: Divide 1 by 9:
\[
1 \div 9 = 0.\overline{1}
\]
- Percentage: Multiply the decimal by 100:
\[
0.\overline{1} \times 100 = 11.\overline{1}\%
\]

Row 9: Fraction \( \frac{1}{7} \)

- Decimal: Divide 1 by 7:
\[
1 \div 7 = 0.\overline{142857}
\]
- Percentage: Multiply the decimal by 100:
\[
0.\overline{142857} \times 100 = 14.\overline{285714}\%
\]

Row 10: Decimal \( 0.\overline{2} \)

- Fraction: \( 0.\overline{2} \) is equivalent to \( \frac{2}{9} \).
- Percentage: Multiply the decimal by 100:
\[
0.\overline{2} \times 100 = 22.\overline{2}\%
\]

Row 11: Percentage \( 77.\overline{7}\% \)

- Fraction: \( 77.\overline{7}\% = \frac{77.\overline{7}}{100} = \frac{7}{9} \).
- Decimal: Divide 7 by 9:
\[
7 \div 9 = 0.\overline{7}
\]

Row 12: Decimal \( 0.\overline{16} \)

- Fraction: \( 0.\overline{16} \) is equivalent to \( \frac{16}{99} \).
- Percentage: Multiply the decimal by 100:
\[
0.\overline{16} \times 100 = 16.\overline{16}\%
\]

Row 13: Percentage \( 25.\overline{5}\% \)

- Fraction: \( 25.\overline{5}\% = \frac{25.\overline{5}}{100} = \frac{255}{990} = \frac{5}{18} \).
- Decimal: Divide 5 by 18:
\[
5 \div 18 = 0.\overline{27}
\]

Final Answer:

\[
\boxed{
\begin{array}{|c|c|c|}
\hline
\text{Fraction} & \text{Decimal} & \text{Percentage} \\
\hline
\frac{1}{8} & 0.125 & 12.5\% \\
\hline
\frac{3}{8} & 0.375 & 37.5\% \\
\hline
\frac{1}{3} & 0.\overline{3} & 33\frac{1}{3}\% \\
\hline
\frac{2}{3} & 0.\overline{6} & 66.\overline{6}\% \\
\hline
\frac{1}{40} & 0.025 & 2.5\% \\
\hline
\frac{1}{200} & 0.005 & 0.5\% \\
\hline
\frac{7}{40} & 0.175 & 17.5\% \\
\hline
\frac{1}{9} & 0.\overline{1} & 11.\overline{1}\% \\
\hline
\frac{1}{7} & 0.\overline{142857} & 14.\overline{285714}\% \\
\hline
\frac{2}{9} & 0.\overline{2} & 22.\overline{2}\% \\
\hline
\frac{7}{9} & 0.\overline{7} & 77.\overline{7}\% \\
\hline
\frac{16}{99} & 0.\overline{16} & 16.\overline{16}\% \\
\hline
\frac{5}{18} & 0.\overline{27} & 25.\overline{5}\% \\
\hline
\end{array}
}
\]