Solve Mixed Number Addition: 3 5/16 + 6 5/8 Step-by-Step

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

• Step 1: Convert fractions to a common denominator.
• Step 2: Add the fractions.
• Step 3: Add the whole numbers and the resulting fraction.
• Step 4: Simplify the result.

Now, let's work through each step:

Step 1: Convert $\frac{5}{8}$ to a fraction with denominator 16.
Currently, $\frac{5}{8} = \frac{5 \times 2}{8 \times 2} = \frac{10}{16}$.

Step 2: Add the fractions $\frac{5}{16}$ and $\frac{10}{16}$.
$\frac{5}{16} + \frac{10}{16} = \frac{15}{16}$.

Step 3: Add the whole numbers of the mixed numbers.
The whole numbers are 3 and 6, giving $3 + 6 = 9$.

Step 4: Combine the results of steps 2 and 3 into a mixed number.
$9 + \frac{15}{16} = 9\frac{15}{16}$.

Therefore, the solution to the problem is $9\frac{15}{16}$, which corresponds to choice 3 in the provided options.