Solve Mixed Number Addition: 3½ + 1⅓ Step-by-Step

Let's solve the problem by adding the mixed numbers step-by-step:

• Step 1: Add the whole numbers. The whole numbers are $3$ and $1$, so $3 + 1 = 4$.
• Step 2: Add the fractional parts. The fractions are $\frac{1}{2}$ and $\frac{2}{6}$.
• Step 3: Find a common denominator for the fractions. The denominators are $2$ and $6$. The least common denominator (LCD) is $6$.
• Step 4: Convert $\frac{1}{2}$ to a fraction with the common denominator: $\frac{1}{2} = \frac{3}{6}$.
• Step 5: The fractions $\frac{3}{6}$ and $\frac{2}{6}$ can now be added: $\frac{3}{6} + \frac{2}{6} = \frac{5}{6}$.
• Step 6: Combine the results from Steps 1 and 5: $4 + \frac{5}{6} = 4\frac{5}{6}$.

Therefore, the result of adding $3\frac{1}{2} + 1\frac{2}{6}$ is $4\frac{5}{6}$.