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Understanding and Comparing Fractions: Skills Development

You will explore foundational concepts of fractions, learn methods for comparison, and apply analytical skills to evaluate and solve fraction-related problems.

Building a Foundation

1. What is the numerator in the fraction 3/4? (1 choice)

7
4
3
1

2. Which of the following are components of a fraction? (multiple choice)

Dividend
Quotient
Denominator
Numerator

3. Explain why it is important to have a common denominator when comparing fractions.

4. List two methods for comparing fractions.

Method 1

Method 2

Your answers will be evaluated by AI for key concepts, not exact wording. Focus on main ideas.

Comprehension and Interpretation

5. Which method involves multiplying the numerator of one fraction by the denominator of the other to compare fractions? (1 choice)

Decimal conversion
Simplification
Cross-multiplication
Fraction addition

6. Which of the following fractions are equivalent to 1/2? (multiple choice)

5/10
3/6
2/4
4/8

7. Describe how you would use a number line to compare the fractions 1/3 and 1/4.

Application and Analysis

8. Convert the fractions 3/4 and 5/8 to decimals and determine which is larger.

9. If you have 3/5 of a pizza and your friend has 2/5 of a pizza, who has more pizza? (1 choice)

You
Your friend
Both have the same amount
Cannot be determined

10. Which of the following are steps to simplify the fraction 8/12? (multiple choice)

Result in 2/3
Multiply both numerator and denominator by 2
Divide both numerator and denominator by 4
Find the GCD of 8 and 12

11. Which fraction is larger: 7/10 or 3/5? (1 choice)

7/10
3/5
Both are equal
Cannot be determined

Evaluation and Creation

12. Which fraction is closest to 1/2? (1 choice)

1/3
5/8
2/5
3/5

13. Evaluate the following fractions and select those that are greater than 1/2: (multiple choice)

3/7
7/10
4/9
5/8

14. Create a real-world scenario where comparing fractions is necessary and explain how you would solve it.

15. Propose two different methods to compare the fractions 7/8 and 9/10 and explain which method you find more effective and why.

Method 1

Method 2

Your answers will be evaluated by AI for key concepts, not exact wording. Focus on main ideas.

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