Multiply Mixed Numbers: 2⅔ × 1¾ Step-by-Step Solution

To solve this problem, we'll follow these steps:

• Convert each mixed number into an improper fraction.
• Multiply the two improper fractions.
• Simplify the resulting fraction if necessary.
• Convert the final product back to a mixed number if desired.

Now, let's work through each step:

Step 1: Convert the mixed numbers into improper fractions.
For $2\frac{2}{7}$: $2\frac{2}{7} = \frac{2 \times 7 + 2}{7} = \frac{14 + 2}{7} = \frac{16}{7}$ For $1\frac{3}{4}$: $1\frac{3}{4} = \frac{1 \times 4 + 3}{4} = \frac{4 + 3}{4} = \frac{7}{4}$

Step 2: Multiply the improper fractions.
$\frac{16}{7} \times \frac{7}{4} = \frac{16 \times 7}{7 \times 4} = \frac{112}{28}$

Step 3: Simplify the resulting fraction.
Since $112 \div 28 = 4$, $\frac{112}{28} = 4$

The final result is a whole number, so there is no need for conversion back to a mixed number.

Therefore, the solution to the problem is $4$.