Grade 5 worksheet for converting fractions to repeating decimals, with space to write answers.

Problem Description:

The task is to convert the given fractions into decimals, rounding to three decimal places if necessary. The fractions are listed in a worksheet, and we need to solve each one step by step.

Solution Approach:

1. Understand the Task: Convert each fraction into its decimal form.
2. Perform Division: Divide the numerator by the denominator for each fraction.
3. Round to Three Decimal Places: If the decimal repeats or extends beyond three decimal places, round it to three decimal places.
4. List the Answers: Write down the converted decimals for each fraction.

Step-by-Step Solution:

#### 1. \( \frac{7}{15} \)
- Perform the division: \( 7 \div 15 = 0.4666\ldots \)
- Round to three decimal places: \( 0.467 \)

#### 2. \( \frac{1}{2} \)
- Perform the division: \( 1 \div 2 = 0.5 \)
- No need to round: \( 0.500 \) (to maintain three decimal places)

#### 3. \( \frac{4}{8} \)
- Simplify the fraction: \( \frac{4}{8} = \frac{1}{2} \)
- Perform the division: \( 1 \div 2 = 0.5 \)
- No need to round: \( 0.500 \)

#### 4. \( \frac{7}{10} \)
- Perform the division: \( 7 \div 10 = 0.7 \)
- No need to round: \( 0.700 \)

#### 5. \( \frac{10}{12} \)
- Simplify the fraction: \( \frac{10}{12} = \frac{5}{6} \)
- Perform the division: \( 5 \div 6 = 0.8333\ldots \)
- Round to three decimal places: \( 0.833 \)

#### 6. \( \frac{6}{7} \)
- Perform the division: \( 6 \div 7 = 0.857142\ldots \)
- Round to three decimal places: \( 0.857 \)

#### 7. \( \frac{4}{5} \)
- Perform the division: \( 4 \div 5 = 0.8 \)
- No need to round: \( 0.800 \)

#### 8. \( \frac{2}{14} \)
- Simplify the fraction: \( \frac{2}{14} = \frac{1}{7} \)
- Perform the division: \( 1 \div 7 = 0.142857\ldots \)
- Round to three decimal places: \( 0.143 \)

#### 9. \( \frac{4}{9} \)
- Perform the division: \( 4 \div 9 = 0.4444\ldots \)
- Round to three decimal places: \( 0.444 \)

#### 10. \( \frac{5}{11} \)
- Perform the division: \( 5 \div 11 = 0.454545\ldots \)
- Round to three decimal places: \( 0.455 \)

#### 11. \( \frac{1}{3} \)
- Perform the division: \( 1 \div 3 = 0.3333\ldots \)
- Round to three decimal places: \( 0.333 \)

#### 12. \( \frac{2}{4} \)
- Simplify the fraction: \( \frac{2}{4} = \frac{1}{2} \)
- Perform the division: \( 1 \div 2 = 0.5 \)
- No need to round: \( 0.500 \)

#### 13. \( \frac{5}{6} \)
- Perform the division: \( 5 \div 6 = 0.8333\ldots \)
- Round to three decimal places: \( 0.833 \)

#### 14. \( \frac{9}{13} \)
- Perform the division: \( 9 \div 13 = 0.692307\ldots \)
- Round to three decimal places: \( 0.692 \)

#### 15. \( \frac{7}{11} \)
- Perform the division: \( 7 \div 11 = 0.636363\ldots \)
- Round to three decimal places: \( 0.636 \)

#### 16. \( \frac{4}{6} \)
- Simplify the fraction: \( \frac{4}{6} = \frac{2}{3} \)
- Perform the division: \( 2 \div 3 = 0.6666\ldots \)
- Round to three decimal places: \( 0.667 \)

#### 17. \( \frac{1}{4} \)
- Perform the division: \( 1 \div 4 = 0.25 \)
- No need to round: \( 0.250 \)

#### 18. \( \frac{2}{10} \)
- Simplify the fraction: \( \frac{2}{10} = \frac{1}{5} \)
- Perform the division: \( 1 \div 5 = 0.2 \)
- No need to round: \( 0.200 \)

Final Answer:

\[
\boxed{
\begin{array}{ccc}
1. & 0.467 & 2. & 0.500 & 3. & 0.500 \\
4. & 0.700 & 5. & 0.833 & 6. & 0.857 \\
7. & 0.800 & 8. & 0.143 & 9. & 0.444 \\
10. & 0.455 & 11. & 0.333 & 12. & 0.500 \\
13. & 0.833 & 14. & 0.692 & 15. & 0.636 \\
16. & 0.667 & 17. & 0.250 & 18. & 0.200 \\
\end{array}
}
\]