Compute 2 3/5 × 3/4 and express the result as a mixed number.

Compute 2 3/5 × 3/4 and express the result as a mixed number.

• A. 1 and 1/20
• B. 1 and 3/5
• C. 1 and 19/20
• D. 2

Answer: (C)

When multiplying a mixed number by a fraction, start by turning the mixed number into an improper fraction. So 2 3/5 becomes 13/5. Multiply the fractions: (13/5) × (3/4) = 39/20. Convert that improper fraction to a mixed number: 39 divided by 20 is 1 with a remainder of 19, giving 1 and 19/20. Since 39/20 is in lowest terms, this is the final answer. It reflects a product just under 2, specifically 1 19/20.

When multiplying a mixed number by a fraction, start by turning the mixed number into an improper fraction. So 2 3/5 becomes 13/5. Multiply the fractions: (13/5) × (3/4) = 39/20. Convert that improper fraction to a mixed number: 39 divided by 20 is 1 with a remainder of 19, giving 1 and 19/20. Since 39/20 is in lowest terms, this is the final answer. It reflects a product just under 2, specifically 1 19/20.