Convert between Fractions, Decimals, and Percents Worksheets - Free Printable

Problem Analysis:

The image contains a worksheet titled "Converting Fractions to Decimals." The tasks involve converting fractions to decimals, matching fractions with their equivalent decimals, and identifying the decimal equivalent of a given fraction. Let's solve each part step by step.

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Part A: Convert the following fractions to decimals.

We are given several fractions and need to convert them to decimals. Here are the fractions:

1. \( \frac{3}{4} \)
2. \( \frac{1}{8} \)
3. \( \frac{5}{8} \)
4. \( \frac{7}{10} \)
5. \( \frac{1}{2} \)
6. \( \frac{3}{5} \)

#### Step-by-Step Conversion:

1. \( \frac{3}{4} \):
- Divide 3 by 4: \( 3 \div 4 = 0.75 \).
- Decimal: \( 0.75 \).

2. \( \frac{1}{8} \):
- Divide 1 by 8: \( 1 \div 8 = 0.125 \).
- Decimal: \( 0.125 \).

3. \( \frac{5}{8} \):
- Divide 5 by 8: \( 5 \div 8 = 0.625 \).
- Decimal: \( 0.625 \).

4. \( \frac{7}{10} \):
- Divide 7 by 10: \( 7 \div 10 = 0.7 \).
- Decimal: \( 0.7 \).

5. \( \frac{1}{2} \):
- Divide 1 by 2: \( 1 \div 2 = 0.5 \).
- Decimal: \( 0.5 \).

6. \( \frac{3}{5} \):
- Divide 3 by 5: \( 3 \div 5 = 0.6 \).
- Decimal: \( 0.6 \).

#### Final Answers for Part A:
\[
\begin{aligned}
1. & \quad \frac{3}{4} = 0.75 \\
2. & \quad \frac{1}{8} = 0.125 \\
3. & \quad \frac{5}{8} = 0.625 \\
4. & \quad \frac{7}{10} = 0.7 \\
5. & \quad \frac{1}{2} = 0.5 \\
6. & \quad \frac{3}{5} = 0.6 \\
\end{aligned}
\]

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Part B: Match each fraction with its equivalent decimal.

We are given the following fractions and decimals to match:

Fractions:
- \( \frac{3}{4} \)
- \( \frac{1}{8} \)
- \( \frac{5}{8} \)
- \( \frac{7}{10} \)
- \( \frac{1}{2} \)
- \( \frac{3}{5} \)

Decimals:
- \( 0.75 \)
- \( 0.125 \)
- \( 0.625 \)
- \( 0.7 \)
- \( 0.5 \)
- \( 0.6 \)

Using the conversions from Part A, we can match the fractions to their decimals:

1. \( \frac{3}{4} \) matches \( 0.75 \).
2. \( \frac{1}{8} \) matches \( 0.125 \).
3. \( \frac{5}{8} \) matches \( 0.625 \).
4. \( \frac{7}{10} \) matches \( 0.7 \).
5. \( \frac{1}{2} \) matches \( 0.5 \).
6. \( \frac{3}{5} \) matches \( 0.6 \).

#### Final Matches for Part B:
\[
\begin{aligned}
\frac{3}{4} & \rightarrow 0.75 \\
\frac{1}{8} & \rightarrow 0.125 \\
\frac{5}{8} & \rightarrow 0.625 \\
\frac{7}{10} & \rightarrow 0.7 \\
\frac{1}{2} & \rightarrow 0.5 \\
\frac{3}{5} & \rightarrow 0.6 \\
\end{aligned}
\]

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Part C: Which of the following is the decimal equivalent of \( \frac{7}{20} \)?

We are given multiple-choice options:
- \( 0.35 \)
- \( 0.5 \)
- \( 0.7 \)
- \( 0.85 \)

To find the decimal equivalent of \( \frac{7}{20} \), we divide 7 by 20:
\[
7 \div 20 = 0.35
\]

Thus, the correct answer is \( 0.35 \).

#### Final Answer for Part C:
\[
\boxed{0.35}
\]

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Final Summary:

1. Part A: Conversions:
\[
\begin{aligned}
1. & \quad \frac{3}{4} = 0.75 \\
2. & \quad \frac{1}{8} = 0.125 \\
3. & \quad \frac{5}{8} = 0.625 \\
4. & \quad \frac{7}{10} = 0.7 \\
5. & \quad \frac{1}{2} = 0.5 \\
6. & \quad \frac{3}{5} = 0.6 \\
\end{aligned}
\]

2. Part B: Matches:
\[
\begin{aligned}
\frac{3}{4} & \rightarrow 0.75 \\
\frac{1}{8} & \rightarrow 0.125 \\
\frac{5}{8} & \rightarrow 0.625 \\
\frac{7}{10} & \rightarrow 0.7 \\
\frac{1}{2} & \rightarrow 0.5 \\
\frac{3}{5} & \rightarrow 0.6 \\
\end{aligned}
\]

3. Part C: Decimal equivalent of \( \frac{7}{20} \):
\[
\boxed{0.35}
\]