Question 1: Calculate: (3/4) × (2/5).

Answer: 3/10

Question 2: Simplify the product of (7/8) × (4/9).

Answer: 28/72 or 7/18

Question 3: Multiply: (5/6) × (3/7).

Answer: 15/42 or 5/14

Question 4: Calculate: (2/3) × (3/4).

Answer: 1/2

Question 5: Calculate: (9/10) × (1/2).

Answer: 9/20

Question 6: A recipe requires (3/4) of a cup of sugar. If you want to make half the recipe, how much sugar do you need?

Answer: 3/8

Question 7: A gardener plants (2/3) of a garden bed with flowers. If they decide to plant flowers in half of that area, what fraction of the garden bed is planted?

Answer: 1/3

Question 8: Calculate: (11/15) × (5/8).

Answer: 55/120 or 11/24

Question 9: A student studies (4/5) of a chapter and then reviews (2/3) of that part. What fraction of the chapter have they reviewed?

Answer: 8/15

Question 10: Multiply: (5/9) × (3/4) and simplify your answer.

Answer: 5/12

Question 11: A painter uses (2/7) of a litre of paint for one wall. How much paint is needed for 4 walls?

Answer: 8/7 litres

Question 12: Identify and correct the mistake: (3/4) × (4/5) = 12/20, which simplifies to 3/5.

Answer: Incorrect simplification; 12/20 simplifies to 3/5, but the initial multiplication is correct.