Question 1: A recipe requires 3/4 of a cup of sugar. If you want to make 2/3 of the recipe, how much sugar will you need? Calculate your answer.

Answer: 1/2

Question 2: A school bus travels 5/8 of a journey in one hour. How long will it take to complete the entire journey?

Answer: 1 hour 15 minutes

Question 3: A gardener has 2/3 of a yard of ribbon. She needs to cut pieces of ribbon that are 1/4 of a yard each. How many pieces can she make?

Answer: 8

Question 4: If a swimmer completes 3/5 of a pool length in 2 minutes, how long will it take to swim the entire length?

Answer: 3 minutes 20 seconds

Question 5: A painter uses 7/8 of a gallon of paint to cover one wall. How much paint is needed to paint 3 walls?

Answer: 21/8 gallons or 2 5/8 gallons

Question 6: A cyclist travels 2/3 of a mile in 1/4 hour. How far will they travel in 1 hour at the same speed?

Answer: 8 miles

Question 7: A water tank is filled with 5/6 of its capacity. If a pipe drains 1/3 of the tank's volume in 1 hour, how long will it take to drain the entire tank?

Answer: 2 hours

Question 8: A factory produces 3/4 of a kilogram of product in 1/5 hour. How much product does it produce in 3 hours?

Answer: 45 kilograms

Question 9: A person drinks 2/5 of a liter of juice each day. How much juice will they drink in 14 days?

Answer: 5 6/5 liters or 6 liters and 1/5

Question 10: Construct a diagram showing the division of 3/4 by 2/3 using the Keep Flip Multiply method. Show the steps clearly.

Answer: Students will draw and annotate the diagram

Question 11: A common mistake is to invert the division improperly or forget to multiply. Identify and correct the error in this calculation: 2/3 ÷ 4/5 = 2/3 × 5/4 = 10/12.

Answer: The calculation is correct, but students should verify steps and note that dividing 2/3 by 4/5 is 2/3 × 5/4 = 10/12, which simplifies to 5/6.