Add Mixed Numbers: Solving 12⅓ + 8¼ Step by Step

To solve this problem, we will proceed as follows:

• Step 1: Identify the whole number and fractional parts of each mixed number.
• Step 2: Add the whole numbers separately.
• Step 3: Add the fractions by first finding a common denominator.
• Step 4: Combine the sums from Steps 2 and 3.

Now, let's work through the solution:

Step 1:
Extract the whole numbers and fractions:
$+12\frac{1}{3}$ has a whole number 12 and a fraction $\frac{1}{3}$.
$+8\frac{1}{4}$ has a whole number 8 and a fraction $\frac{1}{4}$.

Step 2:
Add the whole numbers:
12 + 8 = 20.

Step 3:
Add the fractions by finding a common denominator. The fractions are $\frac{1}{3}$ and $\frac{1}{4}$.
- The least common denominator of 3 and 4 is 12.
- Convert $\frac{1}{3}$ to $\frac{4}{12}$.
- Convert $\frac{1}{4}$ to $\frac{3}{12}$.

Add the fractions now:
$\frac{4}{12} + \frac{3}{12} = \frac{7}{12}$.

Step 4:
Combine the sums from Steps 2 and 3:
The sum of the whole numbers is 20, and the sum of the fractions is $\frac{7}{12}$.
Thus, $+12\frac{1}{3} + +8\frac{1}{4} = 20\frac{7}{12}$.

Therefore, the solution to the problem is $20\frac{7}{12}$.