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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
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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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