Question 1: Compare the fractions 3/4 and 2/3. Which is larger?

Answer: 3/4

Question 2: Convert 5/8 and 3/4 to have a common denominator and compare. Which is greater?

Answer: 5/8 is less than 3/4

Question 3: Simplify the fraction 6/8 and compare it with 2/3.

Answer: 3/4 > 2/3

Question 4: A recipe requires 2/3 cup of sugar, but you want to make half the recipe. How much sugar do you use?

Answer: 1/3 cup

Question 5: Plot on the grid the fractions 3/5 and 4/7 to visually compare which is larger.

Answer: 3/5 is greater than 4/7

Question 6: Compare 7/10 and 5/8 by converting both to have denominator 40. Which is larger?

Answer: 7/10 is greater than 5/8

Question 7: Explain why 4/9 is less than 1/2 using cross multiplication.

Answer: Cross multiplication shows 4×2=8 and 9×1=9; since 8<9, 4/9<1/2

Question 8: Find a common denominator for 2/3, 3/4, and 5/6. List the equivalent fractions with that denominator.

Answer: 16/24, 18/24, 20/24

Question 9: A student claims 1/2 is larger than 3/5. Is this true? Justify your answer.

Answer: No, 1/2=0.5 and 3/5=0.6, so 3/5 is larger.

Question 10: Challenge: Compare 11/15 and 13/20 by converting to decimals or common denominators. Which is larger?

Answer: 13/20 is larger

Question 11: Identify the common mistake: A student compares 3/8 and 1/3 by cross multiplying and concludes 3/8 is larger because 3×3=9 and 8×1=8. Is this correct? Correct the mistake if needed.

Answer: Incorrect: cross multiplication compares cross products, but final comparison should be 3×3=9 and 8×1=8, so 3/8 is larger. The mistake is in the student's conclusion; they should recognize 9>8.