Fractions & Decimals Worksheets - Year 4 - Free Printable

To solve the problem of converting the given fractions into 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. \( \frac{11}{15} \)
Divide 11 by 15:
\[ 11 \div 15 = 0.7333\ldots \]
So, \( \frac{11}{15} = 0.733 \) (rounded to three decimal places).

#### 2. \( \frac{2}{15} \)
Divide 2 by 15:
\[ 2 \div 15 = 0.1333\ldots \]
So, \( \frac{2}{15} = 0.133 \) (rounded to three decimal places).

#### 3. \( \frac{16}{12} \)
Simplify the fraction first:
\[ \frac{16}{12} = \frac{4}{3} \]
Now, divide 4 by 3:
\[ 4 \div 3 = 1.3333\ldots \]
So, \( \frac{16}{12} = 1.333 \) (rounded to three decimal places).

#### 4. \( \frac{5}{6} \)
Divide 5 by 6:
\[ 5 \div 6 = 0.8333\ldots \]
So, \( \frac{5}{6} = 0.833 \) (rounded to three decimal places).

#### 5. \( \frac{15}{10} \)
Simplify the fraction:
\[ \frac{15}{10} = \frac{3}{2} \]
Now, divide 3 by 2:
\[ 3 \div 2 = 1.5 \]
So, \( \frac{15}{10} = 1.5 \).

#### 6. \( \frac{2}{23} \)
Divide 2 by 23:
\[ 2 \div 23 = 0.0869565\ldots \]
So, \( \frac{2}{23} = 0.087 \) (rounded to three decimal places).

#### 7. \( \frac{12}{25} \)
Divide 12 by 25:
\[ 12 \div 25 = 0.48 \]
So, \( \frac{12}{25} = 0.48 \).

#### 8. \( \frac{23}{27} \)
Divide 23 by 27:
\[ 23 \div 27 = 0.851851\ldots \]
So, \( \frac{23}{27} = 0.852 \) (rounded to three decimal places).

#### 9. \( \frac{4}{17} \)
Divide 4 by 17:
\[ 4 \div 17 = 0.2352941\ldots \]
So, \( \frac{4}{17} = 0.235 \) (rounded to three decimal places).

#### 10. \( \frac{36}{21} \)
Simplify the fraction:
\[ \frac{36}{21} = \frac{12}{7} \]
Now, divide 12 by 7:
\[ 12 \div 7 = 1.7142857\ldots \]
So, \( \frac{36}{21} = 1.714 \) (rounded to three decimal places).

#### 11. \( \frac{120}{11} \)
Divide 120 by 11:
\[ 120 \div 11 = 10.909090\ldots \]
So, \( \frac{120}{11} = 10.909 \) (rounded to three decimal places).

#### 12. \( \frac{31}{17} \)
Divide 31 by 17:
\[ 31 \div 17 = 1.8235294\ldots \]
So, \( \frac{31}{17} = 1.824 \) (rounded to three decimal places).

#### 13. \( \frac{39}{25} \)
Divide 39 by 25:
\[ 39 \div 25 = 1.56 \]
So, \( \frac{39}{25} = 1.56 \).

#### 14. \( \frac{15}{19} \)
Divide 15 by 19:
\[ 15 \div 19 = 0.7894736\ldots \]
So, \( \frac{15}{19} = 0.789 \) (rounded to three decimal places).

#### 15. \( \frac{29}{19} \)
Divide 29 by 19:
\[ 29 \div 19 = 1.5263157\ldots \]
So, \( \frac{29}{19} = 1.526 \) (rounded to three decimal places).

Final Answers:

\[
\begin{aligned}
&1. \frac{11}{15} = 0.733 \\
&2. \frac{2}{15} = 0.133 \\
&3. \frac{16}{12} = 1.333 \\
&4. \frac{5}{6} = 0.833 \\
&5. \frac{15}{10} = 1.5 \\
&6. \frac{2}{23} = 0.087 \\
&7. \frac{12}{25} = 0.48 \\
&8. \frac{23}{27} = 0.852 \\
&9. \frac{4}{17} = 0.235 \\
&10. \frac{36}{21} = 1.714 \\
&11. \frac{120}{11} = 10.909 \\
&12. \frac{31}{17} = 1.824 \\
&13. \frac{39}{25} = 1.56 \\
&14. \frac{15}{19} = 0.789 \\
&15. \frac{29}{19} = 1.526 \\
\end{aligned}
\]

Boxed Answer:

\[
\boxed{
\begin{array}{lll}
1. & 0.733 & 2. & 0.133 & 3. & 1.333 \\
4. & 0.833 & 5. & 1.5 & 6. & 0.087 \\
7. & 0.48 & 8. & 0.852 & 9. & 0.235 \\
10. & 1.714 & 11. & 10.909 & 12. & 1.824 \\
13. & 1.56 & 14. & 0.789 & 15. & 1.526 \\
\end{array}
}
\]