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Printable math worksheet for converting fractions to decimals, including examples and practice problems.

A worksheet titled "Converting Fractions to Decimals" with instructions and examples, featuring 16 fraction-to-decimal conversion problems, a small lizard graphic, and the Math-Salamanders.com logo.

A worksheet titled "Converting Fractions to Decimals" with instructions and examples, featuring 16 fraction-to-decimal conversion problems, a small lizard graphic, and the Math-Salamanders.com logo.

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Show Answer Key & Explanations Step-by-step solution for: Convert Fractions to Decimal
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) $\frac{1}{5}$
$$
\frac{1}{5} = 1 \div 5 = 0.2
$$

#### 2) $\frac{3}{12}$
First, simplify the fraction:
$$
\frac{3}{12} = \frac{1}{4}
$$
Now, convert:
$$
\frac{1}{4} = 1 \div 4 = 0.25
$$

#### 3) $\frac{3}{8}$
$$
\frac{3}{8} = 3 \div 8 = 0.375
$$

#### 4) $\frac{4}{5}$
$$
\frac{4}{5} = 4 \div 5 = 0.8
$$

#### 5) $\frac{7}{4}$
$$
\frac{7}{4} = 7 \div 4 = 1.75
$$

#### 6) $\frac{7}{16}$
$$
\frac{7}{16} = 7 \div 16 = 0.4375
$$

#### 7) $\frac{1}{6}$
$$
\frac{1}{6} = 1 \div 6 = 0.1666\ldots \approx 0.1667
$$

#### 8) $\frac{11}{2}$
$$
\frac{11}{2} = 11 \div 2 = 5.5
$$

#### 9) $\frac{18}{8}$
First, simplify the fraction:
$$
\frac{18}{8} = \frac{9}{4}
$$
Now, convert:
$$
\frac{9}{4} = 9 \div 4 = 2.25
$$

#### 10) $\frac{6}{15}$
First, simplify the fraction:
$$
\frac{6}{15} = \frac{2}{5}
$$
Now, convert:
$$
\frac{2}{5} = 2 \div 5 = 0.4
$$

#### 11) $\frac{7}{3}$
$$
\frac{7}{3} = 7 \div 3 = 2.3333\ldots \approx 2.3333
$$

#### 12) $\frac{6}{20}$
First, simplify the fraction:
$$
\frac{6}{20} = \frac{3}{10}
$$
Now, convert:
$$
\frac{3}{10} = 3 \div 10 = 0.3
$$

#### 13) $\frac{9}{15}$
First, simplify the fraction:
$$
\frac{9}{15} = \frac{3}{5}
$$
Now, convert:
$$
\frac{3}{5} = 3 \div 5 = 0.6
$$

#### 14) $\frac{16}{6}$
First, simplify the fraction:
$$
\frac{16}{6} = \frac{8}{3}
$$
Now, convert:
$$
\frac{8}{3} = 8 \div 3 = 2.6666\ldots \approx 2.6667
$$

#### 15) $\frac{7}{9}$
$$
\frac{7}{9} = 7 \div 9 = 0.7777\ldots \approx 0.7778
$$

#### 16) $\frac{9}{5}$
$$
\frac{9}{5} = 9 \div 5 = 1.8
$$

Final Answers:


$$
\boxed{
\begin{array}{llll}
1) & 0.2 & 2) & 0.25 \\
3) & 0.375 & 4) & 0.8 \\
5) & 1.75 & 6) & 0.4375 \\
7) & 0.1667 & 8) & 5.5 \\
9) & 2.25 & 10) & 0.4 \\
11) & 2.3333 & 12) & 0.3 \\
13) & 0.6 & 14) & 2.6667 \\
15) & 0.7778 & 16) & 1.8 \\
\end{array}
}
$$
Parent Tip: Review the logic above to help your child master the concept of fraction into decimal worksheet.
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