Question 1: Calculate: 2/3 × 5

Answer: 10/3

Question 2: Find the product: 4/7 × 3

Answer: 12/7

Question 3: A recipe requires 3/4 cup of sugar. If you want to make half the recipe, how much sugar do you need?

Answer: 3/8 cup

Question 4: Calculate the total: 5 × 2/5

Answer: 2

Question 5: A farmer has 2/3 of a hectare of land. If he divides it into 4 equal parts, how much land is in each part?

Answer: 1/6 hectare

Question 6: If a pack of seeds contains 2/5 kilograms and you plant 3 packs, how much seed are you planting?

Answer: 6/5 kilograms

Question 7: A container holds 3/4 liter of juice. If you pour out 2/3 of the juice, how much remains?

Answer: 1/2 liter

Question 8: Calculate: 7/8 × 4

Answer: 14/2 or 7

Question 9: A worker completes 5/6 of a task each day. How much of the task is completed after 3 days?

Answer: 5/6 × 3 = 15/6 = 2 1/2 (or 2.5 tasks)

Question 10: An extension: If you multiply 3/5 by 15, what is the result?

Answer: 9

Question 11: A common mistake is to multiply the numerator and denominator separately when multiplying a fraction by an integer, leading to incorrect answers. Identify and correct the mistake in: 2/3 × 4 = 8/3 (correct answer).

Answer: The mistake is in the calculation process; multiplying numerator by 4 gives 8, denominator stays 3, so correct answer is 8/3. The error was assuming denominator also multiplies, which is incorrect.