Solve Mixed Number Addition: 2⅙ + 2⅔ Step-by-Step

To find the sum of $2\frac{1}{6} + 2\frac{2}{3}$, we will follow these steps:

• Step 1: Separate the mixed numbers into their whole and fractional parts:
• Whole parts: $2$ and $2$.
• Fractional parts: $\frac{1}{6}$ and $\frac{2}{3}$.
• Step 2: Add the whole parts:
• $2 + 2 = 4$.
• Step 3: Convert fractional parts using a common denominator:
• The fractions are $\frac{1}{6}$ and $\frac{2}{3}$.
• The least common denominator of $6$ and $3$ is $6$.
• $\frac{2}{3}$ is converted to $\frac{4}{6}$ by multiplying both numerator and denominator by $2$.
• Step 4: Add the fractions:
• $\frac{1}{6} + \frac{4}{6} = \frac{5}{6}$.
• Step 5: Combine results:
• Combine the whole and fractional parts: $4 + \frac{5}{6} = 4\frac{5}{6}$.

Therefore, the sum of the mixed numbers $2\frac{1}{6}$ and $2\frac{2}{3}$ is $4\frac{5}{6}$.