Solve: 2 × 6⅝ Multiplication with Mixed Numbers

To solve the multiplication of a whole number by a mixed fraction, follow these steps:

• Step 1: Convert the mixed number $6\frac{5}{9}$ to an improper fraction.
• Step 2: Multiply the improper fraction by the whole number $2$.
• Step 3: Simplify the resulting improper fraction back to a mixed number, if necessary.

Now, let's perform these steps:

Step 1: Convert $6\frac{5}{9}$ to an improper fraction.
The mixed number $6\frac{5}{9}$ can be expressed as $\frac{6 \times 9 + 5}{9} = \frac{54 + 5}{9} = \frac{59}{9}$.

Step 2: Multiply the whole number $2$ by the improper fraction $\frac{59}{9}$.
This results in the multiplication $2 \times \frac{59}{9} = \frac{2 \times 59}{9} = \frac{118}{9}$.

Step 3: Convert back to the mixed fraction.
To convert the improper fraction $\frac{118}{9}$ back to a mixed number, divide 118 by 9:

• 118 divided by 9 is 13 with a remainder of 1.
• Thus, the mixed number is $13\frac{1}{9}$.

Finally, the solution to the problem is $13\frac{1}{9}$.