Question 1: Express the mixed number 3 2/5 as an improper fraction.

Answer: 17/5

Question 2: Convert the improper fraction 23/4 into a mixed number.

Answer: 5 3/4

Question 3: Calculate and write the improper fraction form of 7 1/3.

Answer: 22/3

Question 4: The mixed number 4 4/7 is expressed as an improper fraction. Show your working and provide the fraction.

Answer: 32/7

Question 5: A recipe requires 2 1/2 cups of sugar. Convert this to an improper fraction.

Answer: 5/2

Question 6: A worker completes 3 3/8 hours of work in a day. Write this as an improper fraction.

Answer: 27/8

Question 7: If a train travels 5 2/3 km in 1 hour, find the distance traveled in 2 hours.

Answer: 17 1/3 km

Question 8: A container holds 7 1/4 liters of water. Express this as an improper fraction.

Answer: 29/4

Question 9: Calculate the sum of 2 2/3 and 3 4/5. Show your working.

Answer: 16/15 + 19/5 = 13/15 + 57/15 = 70/15 = 4 10/15

Question 10: A box contains 4 1/2 kg of apples and 3 2/3 kg of oranges. Find the total weight in improper fractions.

Answer: 9/2 + 11/3 = 27/6 + 22/6 = 49/6

Question 11: An artist uses 2 3/4 meters of fabric for a project. Convert this to an improper fraction and then multiply by 2.

Answer: 11/4 * 2 = 22/4 = 11/2

Question 12: Identify the mistake in converting 3 2/7 to an improper fraction and correct it.

Answer: Incorrect: 3 2/7 = (3×7 + 2)/7 = 23/7. Correct answer is 23/7, but common mistake is multiplying numerator only or misplacing the whole number.