Solve: 4 × 2⅐ Mixed Number Multiplication Problem

To solve the problem of multiplying the whole number 4 by the mixed fraction $2\frac{2}{7}$, we will follow these steps:

• Step 1: Convert the mixed fraction to an improper fraction.
• Step 2: Multiply the improper fraction by the whole number.
• Step 3: Simplify or convert the result back to a mixed fraction.

Step 1: The mixed fraction $2\frac{2}{7}$ can be converted into an improper fraction as follows:
Calculate: $2 \times 7 + 2 = 14 + 2 = 16$.
So, $2\frac{2}{7} = \frac{16}{7}$.

Step 2: Multiply the whole number 4 by the improper fraction $\frac{16}{7}$:
$4 \times \frac{16}{7} = \frac{4 \times 16}{7} = \frac{64}{7}$.

Step 3: Convert the improper fraction $\frac{64}{7}$ back into a mixed number:
Divide 64 by 7. The quotient is 9 and the remainder is 1, thus $\frac{64}{7} = 9\frac{1}{7}$.

Therefore, the solution to the problem is $9\frac{1}{7}$.