Question 1: Calculate the product of 3/4 and 2/5.

Answer: 6/20 or 3/10

Question 2: Find the result of multiplying 7/8 by 3/4.

Answer: 21/32

Question 3: Simplify the product of 5/6 and 2/3.

Answer: 10/18 or 5/9

Question 4: Calculate (2/3) × (3/7).

Answer: 6/21 or 2/7

Question 5: Multiply 4/5 by 1/2 and state the simplified result.

Answer: 4/10 or 2/5

Question 6: What is the product of 9/10 and 1/3?

Answer: 9/30 or 3/10

Question 7: Calculate (3/4) × (4/5) and explain why the result is a proper fraction.

Answer: 12/20 or 3/5; because numerator < denominator

Question 8: Multiply 2/7 by 3/8 and verify your answer.

Answer: 6/56 or 3/28

Question 9: Solve: (5/6) × (2/3) and describe a real-world situation where this could apply.

Answer: 10/18 or 5/9; e.g., calculating part of a recipe

Question 10: A rectangle has a length of 3/4 meters and a width of 2/5 meters. Find its area using multiplication of fractions.

Answer: 6/20 or 3/10 square meters

Question 11: Calculate (4/9) × (3/4). Then, identify and correct the common mistake of multiplying the numerators and denominators separately without simplifying.

Answer: Incorrect: 12/36. Correct: 12/36, simplified to 1/3. Common mistake: multiplying across without simplifying first

Question 12: Multiply 7/8 by 2/3, and then multiply the result by 3/4. What is the final simplified answer?

Answer: 7/8 × 2/3 = 14/24 or 7/12; then 7/12 × 3/4 = 21/48 or 7/16