Question 1: Calculate the product of 3/4 and 2/5. Write your answer in simplest form.

Answer: 3/10

Question 2: Divide 7/8 by 3/4. Show your work and provide the simplified answer.

Answer: 7/6

Question 3: On a recipe, 2/3 of a cup of sugar is needed for one batch. How much sugar is needed for 4 batches?

Answer: 8/3 cups

Question 4: Construct a rectangle on the grid with a length of 3/4 units and width of 2/3 units. Calculate its area.

Answer: 1/2

Question 5: A car uses 5/8 gallons of fuel per mile. How much fuel is used for 3 miles?

Answer: 15/8 gallons

Question 6: If dividing 6/7 by 2/3 results in 9/14, what mistake was made? Correct the calculation.

Answer: Incorrect operation; should be 6/7 ÷ 2/3 = 6/7 * 3/2 = 18/14 = 9/7

Question 7: Calculate 4/9 divided by 2/3 and simplify the result.

Answer: 2/3

Question 8: A cyclist rides 3/5 of a mile in 1/4 hour. How far will they travel in 1 hour at the same speed?

Answer: 12/5 miles

Question 9: Find the quotient of 9/10 and 3/7. Write your answer in simplest form.

Answer: 21/10

Question 10: Identify and correct the mistake: Divide 5/6 by 2/3 and get 5/4.

Answer: Incorrect; 5/6 ÷ 2/3 = 5/6 * 3/2 = 15/12 = 5/4, so the calculation is correct. But if the student claims an error, correct the initial division process.