Solve Mixed Number Addition: 3¼ + 1½ Step by Step

$3\frac{1}{4}+1\frac{2}{4}=$

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

• Step 1: Extract the whole number and fraction parts from each mixed number.
• Step 2: Add the whole numbers together.
• Step 3: Add the fractions together using their common denominator.
• Step 4: Combine the results, checking if any simplification is needed.

Now, let's work through each step:
Step 1: From $3\frac{1}{4}$, the whole number is $3$ and the fraction is $\frac{1}{4}$. From $1\frac{2}{4}$, the whole number is $1$ and the fraction is $\frac{2}{4}$.
Step 2: Add the whole numbers: $3 + 1 = 4$.
Step 3: Add the fractions $\frac{1}{4} + \frac{2}{4}$. Since the denominators are the same, we add the numerators: $\frac{1+2}{4} = \frac{3}{4}$.
Step 4: Combine the results from Steps 2 and 3 to get $4 + \frac{3}{4} = 4\frac{3}{4}$.

Therefore, the solution to the problem is $4\frac{3}{4}$, which matches choice 3.