Fractions to Decimals - Worksheet Digital - Free Printable

To solve the problem of converting fractions to decimals, we need to divide the numerator by the denominator for each fraction. Let's go through each fraction step by step.

Step-by-Step Solution:

#### 1. $\frac{4}{11}$
- Perform the division: $4 \div 11 = 0.3636\ldots$ (repeating decimal)
- Answer: $0.\overline{36}$

#### 2. $\frac{8}{15}$
- Perform the division: $8 \div 15 = 0.5333\ldots$ (repeating decimal)
- Answer: $0.5\overline{3}$

#### 3. $\frac{12}{37}$
- Perform the division: $12 \div 37 = 0.324324\ldots$ (repeating decimal)
- Answer: $0.\overline{324}$

#### 4. $\frac{4}{7}$
- Perform the division: $4 \div 7 = 0.571428\ldots$ (repeating decimal)
- Answer: $0.\overline{571428}$

#### 5. $\frac{7}{19}$
- Perform the division: $7 \div 19 = 0.368421\ldots$ (repeating decimal)
- Answer: $0.\overline{368421}$

#### 6. $\frac{5}{8}$
- Perform the division: $5 \div 8 = 0.625$
- Answer: $0.625$

#### 7. $\frac{2}{7}$
- Perform the division: $2 \div 7 = 0.285714\ldots$ (repeating decimal)
- Answer: $0.\overline{285714}$

#### 8. $\frac{5}{11}$
- Perform the division: $5 \div 11 = 0.4545\ldots$ (repeating decimal)
- Answer: $0.\overline{45}$

#### 9. $\frac{8}{9}$
- Perform the division: $8 \div 9 = 0.888\ldots$ (repeating decimal)
- Answer: $0.\overline{8}$

#### 10. $\frac{3}{15}$
- Simplify the fraction: $\frac{3}{15} = \frac{1}{5}$
- Perform the division: $1 \div 5 = 0.2$
- Answer: $0.2$

#### 11. $\frac{5}{13}$
- Perform the division: $5 \div 13 = 0.384615\ldots$ (repeating decimal)
- Answer: $0.\overline{384615}$

#### 12. $\frac{4}{9}$
- Perform the division: $4 \div 9 = 0.444\ldots$ (repeating decimal)
- Answer: $0.\overline{4}$

#### 13. $\frac{11}{15}$
- Perform the division: $11 \div 15 = 0.7333\ldots$ (repeating decimal)
- Answer: $0.7\overline{3}$

#### 14. $\frac{9}{11}$
- Perform the division: $9 \div 11 = 0.8181\ldots$ (repeating decimal)
- Answer: $0.\overline{81}$

#### 15. $\frac{12}{13}$
- Perform the division: $12 \div 13 = 0.923076\ldots$ (repeating decimal)
- Answer: $0.\overline{923076}$

Final Answers:

\[
\begin{array}{ccc}
\frac{4}{11} = 0.\overline{36} & \frac{8}{15} = 0.5\overline{3} & \frac{12}{37} = 0.\overline{324} \\
\frac{4}{7} = 0.\overline{571428} & \frac{7}{19} = 0.\overline{368421} & \frac{5}{8} = 0.625 \\
\frac{2}{7} = 0.\overline{285714} & \frac{5}{11} = 0.\overline{45} & \frac{8}{9} = 0.\overline{8} \\
\frac{3}{15} = 0.2 & \frac{5}{13} = 0.\overline{384615} & \frac{4}{9} = 0.\overline{4} \\
\frac{11}{15} = 0.7\overline{3} & \frac{9}{11} = 0.\overline{81} & \frac{12}{13} = 0.\overline{923076} \\
\end{array}
\]

Boxed Final Answer:

\[
\boxed{
\begin{array}{ccc}
0.\overline{36} & 0.5\overline{3} & 0.\overline{324} \\
0.\overline{571428} & 0.\overline{368421} & 0.625 \\
0.\overline{285714} & 0.\overline{45} & 0.\overline{8} \\
0.2 & 0.\overline{384615} & 0.\overline{4} \\
0.7\overline{3} & 0.\overline{81} & 0.\overline{923076} \\
\end{array}
}
\]