Question 1: Calculate: 2 1/4 × 3 1/2

Answer: 7.875

Question 2: Calculate: 1 2/3 × 4 1/4

Answer: 7.0833

Question 3: Find the product: 3 1/8 × 2 3/4

Answer: 8.625

Question 4: Multiply: 5 1/2 × 2 2/3

Answer: 14.33

Question 1: A recipe calls for 1 3/4 cups of sugar. If a baker wants to make half of the recipe, how much sugar will they need? Show your calculation.

Answer: 0.875 cups

Question 2: A chef uses 2 2/5 pounds of flour for one batch of cookies. If they want to make 3/4 of a batch, how much flour is needed? Show your working.

Answer: 1.67 pounds

Question 1: A cake recipe requires 3 1/2 cups of milk. If a baker wants to prepare only 2/3 of the recipe, how much milk should they use? Show your working.

Answer: 2.33 cups

Question 2: A sauce recipe calls for 1 1/4 cups of vinegar. If a chef wants to double the recipe, how much vinegar is needed? Show your calculations.

Answer: 2.5 cups

Question 1: A recipe calls for 2 2/3 cups of flour. To make a larger batch, the baker multiplies the recipe by 1 1/2. How much flour is needed? Show all working.

Answer: 4 cups

Question 2: A cook needs 1 3/4 cups of sugar for a batch. If they accidentally double the recipe but forget to convert mixed numbers, what mistake could they make? Explain the error and correct it.

Answer: They might multiply directly: 1.75 × 2 = 3.5 cups, which is correct. But if they treat 1 3/4 as 1.75 without conversion, they could mistakenly think 1 3/4 × 2 = 3 1/2 cups, which is correct. The main mistake is misinterpreting mixed numbers as improper fractions or decimals; the correction is to convert 1 3/4 to 1.75 before multiplying.

Question 1: Multiply: 4 1/2 × 2 1/3

Answer: 10.5

Question 2: Calculate: 1 2/5 × 3 3/4

Answer: 5.25

Question 1: A student multiplies 1 1/2 × 2 2/3 but gets 5 instead of the correct answer. What mistake might they have made? Correct the error.

Answer: They may have added the mixed numbers instead of multiplying. Correct method: convert both to improper fractions and multiply: (3/2) × (8/3) = 24/6 = 4.