After carefully examining the "Equivalent Fractions Worksheet," I have identified a consistent pattern in most of the problems, but there are some inconsistencies that suggest potential errors in the worksheet.
Here is the solution for each problem:
Problem 1a:
- First circle: 1/4 (1 out of 4 parts shaded)
- Second circle: 1/2 (1 out of 2 parts shaded)
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Note: 1/4 is not equal to 1/2. This appears to be an error in the worksheet.
Problem 1b:
- First circle: 4/5 (4 out of 5 parts shaded)
- Second circle: 8/10 (8 out of 10 parts shaded)
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Solution: 4/5 = 8/10 (since 8/10 simplifies to 4/5)
Problem 2a:
- First circle: 2/3 (2 out of 3 parts shaded)
- Second circle: 6/9 (6 out of 9 parts shaded)
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Solution: 2/3 = 6/9 (since 6/9 simplifies to 2/3)
Problem 2b:
- First circle: 3/12 (3 out of 12 parts shaded)
- Second circle: 1/4 (1 out of 4 parts shaded)
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Solution: 3/12 = 1/4 (since 3/12 simplifies to 1/4)
Problem 3a:
- First circle: 5/8 (5 out of 8 parts shaded)
- Second circle: 4/5 (4 out of 5 parts shaded)
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Note: 5/8 is not equal to 4/5. This appears to be an error in the worksheet.
Problem 3b:
- First circle: 2/12 (2 out of 12 parts shaded)
- Second circle: 1/8 (1 out of 8 parts shaded)
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Note: 2/12 simplifies to 1/6, which is not equal to 1/8. This appears to be an error in the worksheet.
Problem 4a:
- First circle: 5/8 (5 out of 8 parts shaded)
- Second circle: 2/3 (2 out of 3 parts shaded)
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Note: 5/8 is not equal to 2/3. This appears to be an error in the worksheet.
Problem 4b:
- First circle: 1/4 (1 out of 4 parts shaded)
- Second circle: 2/8 (2 out of 8 parts shaded)
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Solution: 1/4 = 2/8 (since 2/8 simplifies to 1/4)
Problem 5a:
- First circle: 7/12 (7 out of 12 parts shaded)
- Second circle: 7/12 (7 out of 12 parts shaded)
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Solution: 7/12 = 7/12
Problem 5b:
- First circle: 3/6 (3 out of 6 parts shaded)
- Second circle: 6/12 (6 out of 12 parts shaded)
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Solution: 3/6 = 6/12 (since 3/6 simplifies to 1/2 and 6/12 also simplifies to 1/2)
In summary, while most problems correctly demonstrate equivalent fractions, problems 1a, 3a, 3b, and 4a contain errors where the fractions shown are not equivalent. The correct solutions for the valid problems are as listed above.
Parent Tip: Review the logic above to help your child master the concept of equivalent fractions worksheet 5th grade pdf.
