Solve Mixed Number Addition: 5⅖ + 2⅕ Step by Step

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

• Step 1: Add the whole number parts.
• Step 2: Add the fractional parts.
• Step 3: Combine results and simplify if necessary.

Now, let's work through each step:
Step 1: The mixed numbers are $5\frac{2}{5}$ and $2\frac{1}{5}$. First, add the whole number parts: $5 + 2 = 7$.
Step 2: Next, add the fractional parts: $\frac{2}{5} + \frac{1}{5} = \frac{3}{5}$. Since the denominators are the same, just add the numerators.
Step 3: Combine these sums to form the mixed number: $7 + \frac{3}{5} = 7\frac{3}{5}$.

Therefore, the solution to the problem is $7\frac{3}{5}$.