Question 1: A recipe requires 3/4 cup of sugar. If you want to make a smaller batch that uses only 1/2 of the original amount, how much sugar do you need? Calculate your answer using the Keep Flip Multiply method.

Answer: 3/8

Question 2: Divide 2/3 by 4/5 using the Keep Flip Multiply method. Show your calculation.

Answer: 2/3 ÷ 4/5 = 2/3 × 5/4 = 10/12 = 5/6

Question 3: A swimmer completes 3/5 of a lap in one stroke. How many strokes are needed to complete a full lap?

Answer: 5/3

Question 4: A painter uses 2/7 of a gallon of paint for one wall. How much paint is needed for 3/4 of a wall? Show your work.

Answer: 2/7 × 3/4 = 6/28 = 3/14

Question 5: A car travels 5/8 of a mile in one minute. How far does it travel in 3/4 of a minute?

Answer: 15/32

Question 6: A worker uses 4/9 of a roll of tape for a project. If she has 2/3 of a roll remaining, what fraction of the roll was used? Show your reasoning.

Answer: Fraction used = (remaining / total) = (2/3) / (1) = 2/3

Question 7: A garden plot is 7/10 of an acre. If a gardener divides this area into plots that are each 2/5 of an acre, how many such plots can be made?

Answer: 7/10 ÷ 2/5 = 7/10 × 5/2 = 35/20 = 7/4 = 1 3/4 plots

Question 8: A recipe calls for 5/6 cup of oil. If you only want to make half of the recipe, how much oil will you need? Use the Keep Flip Multiply method.

Answer: 5/6 × 1/2 = 5/12

Question 9: A factory produces 4/5 of a ton of product daily. How many days will it take to produce 3/2 tons?

Answer: 3/2 ÷ 4/5 = 3/2 × 5/4 = 15/8 = 1 7/8 days

Question 10: Error Analysis: A student calculated 3/4 ÷ 2/3 as 3/4 × 2/3 = 6/12 = 1/2. What mistake did they make, and how should it be corrected?

Answer: They multiplied instead of dividing. Correct calculation: 3/4 ÷ 2/3 = 3/4 × 3/2 = 9/8