Grade 5 math worksheet focusing on fractions, decimals, and percentages with pie charts to determine equivalent fractions.

This is a Grade 5 math worksheet focused on finding equivalent fractions using pie charts. The task is to look at each pair of pie charts and write the corresponding equivalent fractions in the provided boxes.

The first problem (Problem 1) is already solved as an example: a pie chart divided into 5 parts with 4 shaded is equivalent to a pie chart divided into 10 parts with 6 shaded, which represents the fractions 4/5 and 6/10.

I will now solve problems 2 through 12 by analyzing the pie charts for each problem.

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Problem 2

- Left Pie Chart: Divided into 4 equal parts, with 2 shaded. This represents the fraction 2/4.
- Right Pie Chart: Divided into 2 equal parts, with 1 shaded. This represents the fraction 1/2.
- Equivalent Fractions: 2/4 = 1/2

Problem 3

- Left Pie Chart: Divided into 6 equal parts, with 3 shaded. This represents the fraction 3/6.
- Right Pie Chart: Divided into 12 equal parts, with 6 shaded. This represents the fraction 6/12.
- Equivalent Fractions: 3/6 = 6/12

Problem 4

- Left Pie Chart: Divided into 8 equal parts, with 1 shaded. This represents the fraction 1/8.
- Right Pie Chart: Divided into 16 equal parts, with 2 shaded. This represents the fraction 2/16.
- Equivalent Fractions: 1/8 = 2/16

Problem 5

- Left Pie Chart: Divided into 3 equal parts, with 2 shaded. This represents the fraction 2/3.
- Right Pie Chart: Divided into 12 equal parts, with 8 shaded. This represents the fraction 8/12.
- Equivalent Fractions: 2/3 = 8/12

Problem 6

- Left Pie Chart: Divided into 4 equal parts, with 3 shaded. This represents the fraction 3/4.
- Right Pie Chart: Divided into 12 equal parts, with 9 shaded. This represents the fraction 9/12.
- Equivalent Fractions: 3/4 = 9/12

Problem 7

- Left Pie Chart: Divided into 10 equal parts, with 6 shaded. This represents the fraction 6/10.
- Right Pie Chart: Divided into 5 equal parts, with 3 shaded. This represents the fraction 3/5.
- Equivalent Fractions: 6/10 = 3/5

Problem 8

- Left Pie Chart: Divided into 2 equal parts, with 1 shaded. This represents the fraction 1/2.
- Right Pie Chart: Divided into 4 equal parts, with 2 shaded. This represents the fraction 2/4.
- Equivalent Fractions: 1/2 = 2/4

Problem 9

- Left Pie Chart: Divided into 12 equal parts, with 4 shaded. This represents the fraction 4/12.
- Right Pie Chart: Divided into 6 equal parts, with 2 shaded. This represents the fraction 2/6.
- Equivalent Fractions: 4/12 = 2/6

Problem 10

- Left Pie Chart: Divided into 12 equal parts, with 2 shaded. This represents the fraction 2/12.
- Right Pie Chart: Divided into 6 equal parts, with 1 shaded. This represents the fraction 1/6.
- Equivalent Fractions: 2/12 = 1/6

Problem 11

- Left Pie Chart: Divided into 12 equal parts, with 8 shaded. This represents the fraction 8/12.
- Right Pie Chart: Divided into 3 equal parts, with 2 shaded. This represents the fraction 2/3.
- Equivalent Fractions: 8/12 = 2/3

Problem 12

- Left Pie Chart: Divided into 12 equal parts, with 9 shaded. This represents the fraction 9/12.
- Right Pie Chart: Divided into 4 equal parts, with 3 shaded. This represents the fraction 3/4.
- Equivalent Fractions: 9/12 = 3/4

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Final Answer

Here are the solutions for all problems:

2. 2/4 = 1/2
3. 3/6 = 6/12
4. 1/8 = 2/16
5. 2/3 = 8/12
6. 3/4 = 9/12
7. 6/10 = 3/5
8. 1/2 = 2/4
9. 4/12 = 2/6
10. 2/12 = 1/6
11. 8/12 = 2/3
12. 9/12 = 3/4