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: $0.\overline{36}$

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Final Answer:

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