Fractions as Decimals - Free Printable

The task involves converting fractions to decimal numbers. Let's solve the problem step by step and explain the solution.

Problem Overview:

The worksheet provides a series of fractions, and the goal is to convert each fraction into its decimal equivalent. The solutions are already provided in the "Answer Key" section, but we will verify and explain how each conversion works.

Conversion Process:

To convert a fraction to a decimal, you divide the numerator by the denominator. For example:
- If the fraction is \( \frac{a}{b} \), then the decimal is \( a \div b \).

Step-by-Step Verification:

#### 1. \( \frac{1}{2} \)
- Numerator: 1
- Denominator: 2
- Division: \( 1 \div 2 = 0.5 \)
- Decimal: 0.5

#### 2. \( \frac{2}{5} \)
- Numerator: 2
- Denominator: 5
- Division: \( 2 \div 5 = 0.4 \)
- Decimal: 0.4

#### 3. \( \frac{1}{5} \)
- Numerator: 1
- Denominator: 5
- Division: \( 1 \div 5 = 0.2 \)
- Decimal: 0.2

#### 4. \( \frac{1}{3} \)
- Numerator: 1
- Denominator: 3
- Division: \( 1 \div 3 = 0.333\ldots \) (repeating decimal)
- Decimal: 0.3 (rounded or written as \( 0.\overline{3} \))

#### 5. \( \frac{2}{3} \)
- Numerator: 2
- Denominator: 3
- Division: \( 2 \div 3 = 0.666\ldots \) (repeating decimal)
- Decimal: 0.6 (rounded or written as \( 0.\overline{6} \))

#### 6. \( \frac{3}{4} \)
- Numerator: 3
- Denominator: 4
- Division: \( 3 \div 4 = 0.75 \)
- Decimal: 0.75

#### 7. \( \frac{1}{4} \)
- Numerator: 1
- Denominator: 4
- Division: \( 1 \div 4 = 0.25 \)
- Decimal: 0.25

#### 8. \( \frac{3}{8} \)
- Numerator: 3
- Denominator: 8
- Division: \( 3 \div 8 = 0.375 \)
- Decimal: 0.375

#### 9. \( \frac{1}{8} \)
- Numerator: 1
- Denominator: 8
- Division: \( 1 \div 8 = 0.125 \)
- Decimal: 0.125

#### 10. \( \frac{2}{8} \)
- Numerator: 2
- Denominator: 8
- Simplify the fraction: \( \frac{2}{8} = \frac{1}{4} \)
- Division: \( 1 \div 4 = 0.25 \)
- Decimal: 0.25

#### 11. \( \frac{1}{6} \)
- Numerator: 1
- Denominator: 6
- Division: \( 1 \div 6 = 0.1666\ldots \) (repeating decimal)
- Decimal: 0.16 (rounded or written as \( 0.1\overline{6} \))

#### 12. \( \frac{1}{9} \)
- Numerator: 1
- Denominator: 9
- Division: \( 1 \div 9 = 0.111\ldots \) (repeating decimal)
- Decimal: 0.11 (rounded or written as \( 0.\overline{1} \))

Final Answer:

The conversions are verified, and the answers match the provided "Answer Key." Here is the final boxed answer for clarity:

\[
\boxed{
\begin{array}{ll}
\frac{1}{2} = 0.5 & \frac{1}{4} = 0.25 \\
\frac{2}{5} = 0.4 & \frac{3}{8} = 0.375 \\
\frac{1}{5} = 0.2 & \frac{1}{8} = 0.125 \\
\frac{1}{3} = 0.3 & \frac{2}{8} = 0.25 \\
\frac{2}{3} = 0.6 & \frac{1}{6} = 0.16 \\
\frac{3}{4} = 0.75 & \frac{1}{9} = 0.11 \\
\end{array}
}
\]