Grade 6 Fraction, Decimal & Percentage Worksheets | Math Worksheets - Free Printable

To solve the problem, we need to convert each fraction into its decimal and percentage equivalents. Let's go through each fraction step by step.

Conversion Process:

1. Fraction to Decimal: Divide the numerator by the denominator.
2. Decimal to Percentage: Multiply the decimal by 100 and add the percentage symbol (%).

Given Fractions:

- \( \frac{3}{4} \)
- \( \frac{1}{10} \)
- \( \frac{3}{10} \)
- \( \frac{2}{5} \)
- \( \frac{1}{4} \)
- \( \frac{2}{10} \)
- \( \frac{1}{5} \)
- \( \frac{2}{5} \)
- \( \frac{3}{5} \)
- \( \frac{7}{10} \)

Step-by-Step Solution:

#### 1. \( \frac{3}{4} \)
- Decimal: \( \frac{3}{4} = 0.75 \)
- Percentage: \( 0.75 \times 100 = 75\% \)

#### 2. \( \frac{1}{10} \)
- Decimal: \( \frac{1}{10} = 0.1 \)
- Percentage: \( 0.1 \times 100 = 10\% \)

#### 3. \( \frac{3}{10} \)
- Decimal: \( \frac{3}{10} = 0.3 \)
- Percentage: \( 0.3 \times 100 = 30\% \)

#### 4. \( \frac{2}{5} \)
- Decimal: \( \frac{2}{5} = 0.4 \)
- Percentage: \( 0.4 \times 100 = 40\% \)

#### 5. \( \frac{1}{4} \)
- Decimal: \( \frac{1}{4} = 0.25 \)
- Percentage: \( 0.25 \times 100 = 25\% \)

#### 6. \( \frac{2}{10} \)
- Decimal: \( \frac{2}{10} = 0.2 \)
- Percentage: \( 0.2 \times 100 = 20\% \)

#### 7. \( \frac{1}{5} \)
- Decimal: \( \frac{1}{5} = 0.2 \)
- Percentage: \( 0.2 \times 100 = 20\% \)

#### 8. \( \frac{2}{5} \)
- Decimal: \( \frac{2}{5} = 0.4 \)
- Percentage: \( 0.4 \times 100 = 40\% \)

#### 9. \( \frac{3}{5} \)
- Decimal: \( \frac{3}{5} = 0.6 \)
- Percentage: \( 0.6 \times 100 = 60\% \)

#### 10. \( \frac{7}{10} \)
- Decimal: \( \frac{7}{10} = 0.7 \)
- Percentage: \( 0.7 \times 100 = 70\% \)

Final Answer:

\[
\begin{array}{|c|c|c|}
\hline
\text{Fraction} & \text{Decimal} & \text{Percentage} \\
\hline
\frac{3}{4} & 0.75 & 75\% \\
\hline
\frac{1}{10} & 0.1 & 10\% \\
\hline
\frac{3}{10} & 0.3 & 30\% \\
\hline
\frac{2}{5} & 0.4 & 40\% \\
\hline
\frac{1}{4} & 0.25 & 25\% \\
\hline
\frac{2}{10} & 0.2 & 20\% \\
\hline
\frac{1}{5} & 0.2 & 20\% \\
\hline
\frac{2}{5} & 0.4 & 40\% \\
\hline
\frac{3}{5} & 0.6 & 60\% \\
\hline
\frac{7}{10} & 0.7 & 70\% \\
\hline
\end{array}
\]

Thus, the completed table is:

\[
\boxed{
\begin{array}{|c|c|c|}
\hline
\text{Fraction} & \text{Decimal} & \text{Percentage} \\
\hline
\frac{3}{4} & 0.75 & 75\% \\
\hline
\frac{1}{10} & 0.1 & 10\% \\
\hline
\frac{3}{10} & 0.3 & 30\% \\
\hline
\frac{2}{5} & 0.4 & 40\% \\
\hline
\frac{1}{4} & 0.25 & 25\% \\
\hline
\frac{2}{10} & 0.2 & 20\% \\
\hline
\frac{1}{5} & 0.2 & 20\% \\
\hline
\frac{2}{5} & 0.4 & 40\% \\
\hline
\frac{3}{5} & 0.6 & 60\% \\
\hline
\frac{7}{10} & 0.7 & 70\% \\
\hline
\end{array}
}
\]