Multiply 3 × 3⅜: Mixed Number Multiplication Problem

To solve the problem, we need to multiply the whole number 3 by the mixed number $3 \frac{3}{8}$. We will proceed with the following steps:

• Step 1: Convert $3 \frac{3}{8}$ into an improper fraction.

• Step 2: Multiply the converted improper fraction by 3.

• Step 3: Convert the result back to a mixed number if necessary.

Now, let's work through each step.
Step 1: Convert $3 \frac{3}{8}$ to an improper fraction:
The mixed number $3 \frac{3}{8}$ can be expressed as $\frac{8 \times 3 + 3}{8} = \frac{24 + 3}{8} = \frac{27}{8}$.

Step 2: Multiply by the whole number 3:
$\frac{27}{8} \times 3 = \frac{27 \times 3}{8} = \frac{81}{8}$

Step 3: Convert the improper fraction back into a mixed number:
Divide 81 by 8. The quotient is 10, and the remainder is 1.
Thus, $\frac{81}{8} = 10 \frac{1}{8}$.

Therefore, the solution to the problem is $10\frac{1}{8}$, corresponding to choice 3.