Question 1: Which fraction is greater: 7/12 or 9/12? Explain your reasoning.

Answer: 9/12 is greater because 9 > 7.

Question 2: Compare the fractions 5/8 and 3/8. Write 'greater', 'less', or 'equal'.

Answer: greater

Question 3: Calculate and compare: 11/15 and 13/15. Which one is larger?

Answer: 13/15

Question 4: Plot the points representing 6/10 and 8/10 on a number line. Which is farther to the right?

Answer: 8/10

Question 5: Construct a pair of fractions with the same denominator that satisfy: one fraction is greater than 5/12, and the other less than 7/12.

Answer: e.g., 6/12 and 4/12

Question 6: Determine which fraction is larger: 14/20 or 16/20. Show your comparison process.

Answer: 16/20 because 16 > 14.

Question 7: A recipe calls for 3/8 cup of sugar, and another needs 5/8 cup. Which needs more sugar?

Answer: 5/8 cup needs more sugar.

Question 8: A student compares 9/12 and 11/12. They claim the first is larger. Is this correct? Explain.

Answer: No, 11/12 is larger because 11 > 9.

Question 9: Compare the fractions 17/20 and 19/20 and explain your reasoning.

Answer: 19/20 is greater because 19 > 17.

Question 10: Identify the common mistake: Students say 4/9 > 5/9 because 4 > 5. Correct the error and explain.

Answer: They are comparing numerators, but fractions with the same denominator are compared by numerators. 4/9 < 5/9.

Question 11: Compare 23/25 and 22/25. Which is larger? Show your reasoning.

Answer: 23/25 is larger because 23 > 22.

Question 12: Challenge: Find two fractions with the same denominator where one is exactly twice the other, e.g., 3/10 and 6/10. Explain your comparison.

Answer: e.g., 4/10 and 8/10, 8/10 is twice 4/10.