Fractions Decimals and Percents Worksheets - Math Monks - Free Printable

To solve the problem, we need to convert between fractions, decimals, and percents as required. Let's go through each row step by step.

Left Table

#### Row 1:
- Fraction: \( \frac{3}{7} \)
- Decimal: Divide \( 3 \) by \( 7 \):
\[
\frac{3}{7} \approx 0.4286
\]
- Percent: Multiply the decimal by \( 100 \):
\[
0.4286 \times 100 = 42.86\%
\]

#### Row 2:
- Decimal: \( 0.5 \)
- Fraction: \( 0.5 = \frac{1}{2} \)
- Percent: Multiply the decimal by \( 100 \):
\[
0.5 \times 100 = 50\%
\]

#### Row 3:
- Fraction: \( \frac{5}{8} \)
- Decimal: Divide \( 5 \) by \( 8 \):
\[
\frac{5}{8} = 0.625
\]
- Percent: Multiply the decimal by \( 100 \):
\[
0.625 \times 100 = 62.5\%
\]

#### Row 4:
- Percent: \( 33 \frac{1}{2}\% = 33.5\% \)
- Decimal: Divide the percent by \( 100 \):
\[
33.5\% = \frac{33.5}{100} = 0.335
\]
- Fraction: Convert \( 0.335 \) to a fraction:
\[
0.335 = \frac{335}{1000} = \frac{67}{200}
\]

#### Row 5:
- Decimal: \( 0.77 \)
- Fraction: \( 0.77 = \frac{77}{100} \)
- Percent: Multiply the decimal by \( 100 \):
\[
0.77 \times 100 = 77\%
\]

#### Row 6:
- Percent: \( 88 \frac{2}{3}\% = 88.\overline{6}\% \)
- Decimal: Divide the percent by \( 100 \):
\[
88.\overline{6}\% = \frac{88.\overline{6}}{100} = 0.88\overline{6}
\]
- Fraction: Convert \( 88 \frac{2}{3}\% \) to an improper fraction:
\[
88 \frac{2}{3}\% = \frac{266}{3}\% = \frac{266}{3} \times \frac{1}{100} = \frac{266}{300} = \frac{133}{150}
\]

#### Row 7:
- Fraction: \( \frac{9}{5} \)
- Decimal: Divide \( 9 \) by \( 5 \):
\[
\frac{9}{5} = 1.8
\]
- Percent: Multiply the decimal by \( 100 \):
\[
1.8 \times 100 = 180\%
\]

#### Row 8:
- Fraction: \( \frac{6}{15} \)
- Decimal: Simplify the fraction first:
\[
\frac{6}{15} = \frac{2}{5} = 0.4
\]
- Percent: Multiply the decimal by \( 100 \):
\[
0.4 \times 100 = 40\%
\]

#### Row 9:
- Decimal: \( 0.26 \)
- Fraction: \( 0.26 = \frac{26}{100} = \frac{13}{50} \)
- Percent: Multiply the decimal by \( 100 \):
\[
0.26 \times 100 = 26\%
\]

#### Row 10:
- Percent: \( 32.5\% \)
- Decimal: Divide the percent by \( 100 \):
\[
32.5\% = \frac{32.5}{100} = 0.325
\]
- Fraction: Convert \( 0.325 \) to a fraction:
\[
0.325 = \frac{325}{1000} = \frac{13}{40}
\]

#### Row 11:
- Decimal: \( 0.625 \)
- Fraction: \( 0.625 = \frac{625}{1000} = \frac{5}{8} \)
- Percent: Multiply the decimal by \( 100 \):
\[
0.625 \times 100 = 62.5\%
\]

Right Table

#### Row 1:
- Fraction: \( \frac{9}{17} \)
- Decimal: Divide \( 9 \) by \( 17 \):
\[
\frac{9}{17} \approx 0.5294
\]
- Percent: Multiply the decimal by \( 100 \):
\[
0.5294 \times 100 = 52.94\%
\]

#### Row 2:
- Decimal: \( 0.067 \)
- Fraction: \( 0.067 = \frac{67}{1000} \)
- Percent: Multiply the decimal by \( 100 \):
\[
0.067 \times 100 = 6.7\%
\]

#### Row 3:
- Percent: \( 28.8\% \)
- Decimal: Divide the percent by \( 100 \):
\[
28.8\% = \frac{28.8}{100} = 0.288
\]
- Fraction: Convert \( 0.288 \) to a fraction:
\[
0.288 = \frac{288}{1000} = \frac{36}{125}
\]

#### Row 4:
- Fraction: \( \frac{3}{8} \)
- Decimal: Divide \( 3 \) by \( 8 \):
\[
\frac{3}{8} = 0.375
\]
- Percent: Multiply the decimal by \( 100 \):
\[
0.375 \times 100 = 37.5\%
\]

#### Row 5:
- Decimal: \( 0.925 \)
- Fraction: \( 0.925 = \frac{925}{1000} = \frac{37}{40} \)
- Percent: Multiply the decimal by \( 100 \):
\[
0.925 \times 100 = 92.5\%
\]

#### Row 6:
- Percent: \( 37 \frac{2}{5}\% = 37.4\% \)
- Decimal: Divide the percent by \( 100 \):
\[
37.4\% = \frac{37.4}{100} = 0.374
\]
- Fraction: Convert \( 0.374 \) to a fraction:
\[
0.374 = \frac{374}{1000} = \frac{187}{500}
\]

#### Row 7:
- Fraction: \( \frac{11}{18} \)
- Decimal: Divide \( 11 \) by \( 18 \):
\[
\frac{11}{18} \approx 0.6111
\]
- Percent: Multiply the decimal by \( 100 \):
\[
0.6111 \times 100 = 61.11\%
\]

#### Row 8:
- Decimal: \( 0.75 \)
- Fraction: \( 0.75 = \frac{75}{100} = \frac{3}{4} \)
- Percent: Multiply the decimal by \( 100 \):
\[
0.75 \times 100 = 75\%
\]

#### Row 9:
- Fraction: \( \frac{7}{9} \)
- Decimal: Divide \( 7 \) by \( 9 \):
\[
\frac{7}{9} \approx 0.7778
\]
- Percent: Multiply the decimal by \( 100 \):
\[
0.7778 \times 100 = 77.78\%
\]

#### Row 10:
- Decimal: \( 0.815 \)
- Fraction: \( 0.815 = \frac{815}{1000} = \frac{163}{200} \)
- Percent: Multiply the decimal by \( 100 \):
\[
0.815 \times 100 = 81.5\%
\]

#### Row 11:
- Percent: \( 66.5\% \)
- Decimal: Divide the percent by \( 100 \):
\[
66.5\% = \frac{66.5}{100} = 0.665
\]
- Fraction: Convert \( 0.665 \) to a fraction:
\[
0.665 = \frac{665}{1000} = \frac{133}{200}
\]

Final Answer

\[
\boxed{
\begin{array}{|c|c|c|}
\hline
\text{Fraction} & \text{Decimal} & \text{Percent} \\
\hline
\frac{3}{7} & 0.4286 & 42.86\% \\
\hline
\frac{1}{2} & 0.5 & 50\% \\
\hline
\frac{5}{8} & 0.625 & 62.5\% \\
\hline
\frac{67}{200} & 0.335 & 33 \frac{1}{2}\% \\
\hline
\frac{77}{100} & 0.77 & 77\% \\
\hline
\frac{133}{150} & 0.88\overline{6} & 88 \frac{2}{3}\% \\
\hline
\frac{9}{5} & 1.8 & 180\% \\
\hline
\frac{2}{5} & 0.4 & 40\% \\
\hline
\frac{13}{50} & 0.26 & 26\% \\
\hline
\frac{13}{40} & 0.325 & 32.5\% \\
\hline
\frac{5}{8} & 0.625 & 62.5\% \\
\hline
\end{array}
\quad
\begin{array}{|c|c|c|}
\hline
\text{Fraction} & \text{Decimal} & \text{Percent} \\
\hline
\frac{9}{17} & 0.5294 & 52.94\% \\
\hline
\frac{67}{1000} & 0.067 & 6.7\% \\
\hline
\frac{36}{125} & 0.288 & 28.8\% \\
\hline
\frac{3}{8} & 0.375 & 37.5\% \\
\hline
\frac{37}{40} & 0.925 & 92.5\% \\
\hline
\frac{187}{500} & 0.374 & 37 \frac{2}{5}\% \\
\hline
\frac{11}{18} & 0.6111 & 61.11\% \\
\hline
\frac{3}{4} & 0.75 & 75\% \\
\hline
\frac{7}{9} & 0.7778 & 77.78\% \\
\hline
\frac{163}{200} & 0.815 & 81.5\% \\
\hline
\frac{133}{200} & 0.665 & 66.5\% \\
\hline
\end{array}
}
\]