Multiply 2 1/4 by 3/2. What is the product in mixed-number form?

Multiply 2 1/4 by 3/2. What is the product in mixed-number form?

• A. 2 7/8
• B. 3 3/8
• C. 3
• D. 4

Answer: (B)

When multiplying mixed numbers, first convert each to an improper fraction, multiply, then convert back to a mixed number. 2 1/4 is 9/4 and 3/2 stays 3/2. Multiply: (9/4) × (3/2) = 27/8. Now turn 27/8 into a mixed number: 27 ÷ 8 = 3 with a remainder of 3, so it’s 3 3/8. The product is 3 3/8. This matches the decimal check: 2.25 × 1.5 = 3.375, which is 3 3/8.

When multiplying mixed numbers, first convert each to an improper fraction, multiply, then convert back to a mixed number.

2 1/4 is 9/4 and 3/2 stays 3/2. Multiply: (9/4) × (3/2) = 27/8. Now turn 27/8 into a mixed number: 27 ÷ 8 = 3 with a remainder of 3, so it’s 3 3/8.

The product is 3 3/8. This matches the decimal check: 2.25 × 1.5 = 3.375, which is 3 3/8.