Question 1: Calculate: (3/4) × (2/5).

Answer: 3/10

Question 2: Calculate: (7/8) × (3/4).

Answer: 21/32

Question 3: Calculate: (2/3) × (4/7).

Answer: 8/21

Question 4: Calculate: (5/6) × (3/8).

Answer: 15/48

Question 5: What is (9/10) × (1/2)?

Answer: 9/20

Question 6: Solve: (4/9) × (3/5).

Answer: 12/45

Question 7: A recipe calls for (2/3) cup of oil. If you want to make half the recipe, how much oil will you need? (Multiply: 1/2 × 2/3).

Answer: 1/3

Question 8: A painter needs to mix (3/4) liter of blue paint with (2/3) liter of yellow paint. How much paint will she have in total?

Answer: 17/12 liters

Question 9: A student multiplies (5/6) by (3/4) and gets 15/24 as the answer. What mistake might they have made? Fix the error.

Answer: They simplified incorrectly; the correct product is 5/8.

Question 10: Construct a rectangle on the grid with dimensions (2/3) units by (3/4) units. Calculate its area.

Answer: 1/2

Question 11: Plot the graph of y = (2/3) × x for x values from 0 to 3 on the grid.

Answer: A line passing through (0,0), (1.5,1), (3,2).