Solve: 2 × 2⅓ Multiplication with Mixed Numbers

To solve the problem, let's proceed with the following steps:

• Step 1: Convert the mixed number $2 \frac{1}{3}$ to an improper fraction.
• Step 2: Perform the multiplication with the whole number 2.
• Step 3: Simplify and, if required, convert the result back to a mixed number.

Now, let's work through each step:

Step 1: Convert $2 \frac{1}{3}$ to an Improper Fraction

The mixed number $2 \frac{1}{3}$ can be converted to an improper fraction by multiplying the whole number 2 by the denominator 3 and adding the numerator 1. Thus, $2 \frac{1}{3} = \frac{2 \times 3 + 1}{3} = \frac{6 + 1}{3} = \frac{7}{3}$.

Step 2: Multiply by 2

Next, multiply the improper fraction $\frac{7}{3}$ by the whole number 2. Treat 2 as $\frac{2}{1}$ for multiplication: $\frac{7}{3} \times \frac{2}{1} = \frac{7 \times 2}{3 \times 1} = \frac{14}{3}$.

Step 3: Simplify or Convert the Improper Fraction

Finally, convert the improper fraction $\frac{14}{3}$ back to a mixed number, if desired:

• Divide the numerator by the denominator: $14 \div 3 = 4$ with a remainder of 2.
• This results in the mixed number $4\frac{2}{3}$.

Therefore, the solution to the problem is $4\frac{2}{3}$.