Division. Mathematics Worksheets and Study Guides Fifth Grade. - Free Printable

To solve the problem, we need to identify the fractions represented by each pie chart and then write their equivalent fractions. Let's go through each question step by step.

Step-by-Step Solution:

#### 1.
- The first pie chart is divided into 4 equal parts, with 3 parts shaded.
- Fraction: \( \frac{3}{4} \)
- The second pie chart is divided into 8 equal parts, with 6 parts shaded.
- Fraction: \( \frac{6}{8} \)
- These are equivalent fractions because:
\[
\frac{3}{4} = \frac{6}{8}
\]

#### 2.
- The pie chart is divided into 2 equal parts, with 1 part shaded.
- Fraction: \( \frac{1}{2} \)
- The equivalent fraction can be written as:
\[
\frac{1}{2} = \frac{2}{4}
\]

#### 3.
- The pie chart is divided into 3 equal parts, with 2 parts shaded.
- Fraction: \( \frac{2}{3} \)
- The equivalent fraction can be written as:
\[
\frac{2}{3} = \frac{4}{6}
\]

#### 4.
- The pie chart is divided into 6 equal parts, with 2 parts shaded.
- Fraction: \( \frac{2}{6} \)
- Simplify the fraction:
\[
\frac{2}{6} = \frac{1}{3}
\]

#### 5.
- The pie chart is divided into 3 equal parts, with 2 parts shaded.
- Fraction: \( \frac{2}{3} \)
- The equivalent fraction can be written as:
\[
\frac{2}{3} = \frac{4}{6}
\]

#### 6.
- The pie chart is divided into 4 equal parts, with 3 parts shaded.
- Fraction: \( \frac{3}{4} \)
- The equivalent fraction can be written as:
\[
\frac{3}{4} = \frac{6}{8}
\]

#### 7.
- The first pie chart is divided into 8 equal parts, with 3 parts shaded.
- Fraction: \( \frac{3}{8} \)
- The second pie chart is divided into 4 equal parts, with 2 parts shaded.
- Fraction: \( \frac{2}{4} \)
- These are not equivalent fractions. The correct equivalent fraction for \( \frac{3}{8} \) could be:
\[
\frac{3}{8} = \frac{6}{16}
\]

#### 8.
- The pie chart is divided into 2 equal parts, with 1 part shaded.
- Fraction: \( \frac{1}{2} \)
- The equivalent fraction can be written as:
\[
\frac{1}{2} = \frac{2}{4}
\]

#### 9.
- The pie chart is divided into 10 equal parts, with 5 parts shaded.
- Fraction: \( \frac{5}{10} \)
- Simplify the fraction:
\[
\frac{5}{10} = \frac{1}{2}
\]

#### 10.
- The pie chart is divided into 10 equal parts, with 2 parts shaded.
- Fraction: \( \frac{2}{10} \)
- Simplify the fraction:
\[
\frac{2}{10} = \frac{1}{5}
\]

#### 11.
- The pie chart is divided into 8 equal parts, with 6 parts shaded.
- Fraction: \( \frac{6}{8} \)
- Simplify the fraction:
\[
\frac{6}{8} = \frac{3}{4}
\]

#### 12.
- The pie chart is divided into 10 equal parts, with 4 parts shaded.
- Fraction: \( \frac{4}{10} \)
- Simplify the fraction:
\[
\frac{4}{10} = \frac{2}{5}
\]

Final Answers:

1. \( \frac{3}{4} = \frac{6}{8} \)
2. \( \frac{1}{2} = \frac{2}{4} \)
3. \( \frac{2}{3} = \frac{4}{6} \)
4. \( \frac{2}{6} = \frac{1}{3} \)
5. \( \frac{2}{3} = \frac{4}{6} \)
6. \( \frac{3}{4} = \frac{6}{8} \)
7. \( \frac{3}{8} = \frac{6}{16} \)
8. \( \frac{1}{2} = \frac{2}{4} \)
9. \( \frac{5}{10} = \frac{1}{2} \)
10. \( \frac{2}{10} = \frac{1}{5} \)
11. \( \frac{6}{8} = \frac{3}{4} \)
12. \( \frac{4}{10} = \frac{2}{5} \)

\boxed{
\begin{array}{ll}
1. & \frac{3}{4} = \frac{6}{8} \\
2. & \frac{1}{2} = \frac{2}{4} \\
3. & \frac{2}{3} = \frac{4}{6} \\
4. & \frac{2}{6} = \frac{1}{3} \\
5. & \frac{2}{3} = \frac{4}{6} \\
6. & \frac{3}{4} = \frac{6}{8} \\
7. & \frac{3}{8} = \frac{6}{16} \\
8. & \frac{1}{2} = \frac{2}{4} \\
9. & \frac{5}{10} = \frac{1}{2} \\
10. & \frac{2}{10} = \frac{1}{5} \\
11. & \frac{6}{8} = \frac{3}{4} \\
12. & \frac{4}{10} = \frac{2}{5} \\
\end{array}
}