2 3/5 x 3/4 = ?

2 3/5 x 3/4 = ?

• A. 1 19/20
• B. 2 9/20
• C. 4 1/3
• D. 6 9/20

Answer: (A)

Multiplying a mixed number by a fraction works best by turning the mixed number into an improper fraction, then multiplying and, if desired, converting back to a mixed number. Convert 2 3/5 to an improper fraction: 13/5. Multiply by 3/4: (13/5) × (3/4) = 39/20. This improper fraction can be written as a mixed number: 39/20 = 1 with a remainder of 19, so 1 19/20. That equals 1.95 in decimal, which aligns with the expected product. So the result is 1 19/20.

Multiplying a mixed number by a fraction works best by turning the mixed number into an improper fraction, then multiplying and, if desired, converting back to a mixed number.

Convert 2 3/5 to an improper fraction: 13/5. Multiply by 3/4: (13/5) × (3/4) = 39/20. This improper fraction can be written as a mixed number: 39/20 = 1 with a remainder of 19, so 1 19/20. That equals 1.95 in decimal, which aligns with the expected product.

So the result is 1 19/20.