Final answer:
To multiply 3 by 3 1/4, you convert the mixed number to an improper fraction (13/4) and multiply it by the whole number resulting in 39/4, which simplifies to the mixed number 9 3/4.
Step-by-step explanation:
The question at hand is a mathematics problem involving the multiplication of a whole number and a mixed number. The student is asking how to multiply 3 by 3 1/4 to find the product.
To solve this problem, first convert the mixed number 3 1/4 to an improper fraction, which would be 13/4. Then, multiply the whole number by this improper fraction: 3 x (13/4). This results in a multiplication of fractions: \(3/1 \times 13/4\).
Multiplying the numerators gives you \(3 \times 13 = 39\) and multiplying the denominators gives \(1 \times 4 = 4\), resulting in the fraction \(39/4\), which is an improper fraction. The final step is to convert this back into a mixed number, if necessary. Dividing 39 by 4 gives you 9 with a remainder of 3, so the mixed number would be 9 3/4. Hence, 3 x 3 1/4 equals 9 3/4.