Solve the Fraction Addition: 2/8 + 1/3 Step by Step

To solve the problem of adding $\frac{2}{8}$ and $\frac{1}{3}$, we need to first convert these fractions to have a common denominator.

Step 1: Find the least common denominator (LCD).
- The denominators of the fractions are $8$ and $3$.
- The common denominator can be found by multiplying $8$ and $3$, which gives us $24$.

Step 2: Convert each fraction to an equivalent fraction with the common denominator of $24$.
- For $\frac{2}{8}$, multiply both the numerator and the denominator by $3$:
$\frac{2}{8} = \frac{2 \times 3}{8 \times 3} = \frac{6}{24}$.
- For $\frac{1}{3}$, multiply both the numerator and the denominator by $8$:
$\frac{1}{3} = \frac{1 \times 8}{3 \times 8} = \frac{8}{24}$.

Step 3: Add the resulting fractions.
- $\frac{6}{24} + \frac{8}{24} = \frac{6 + 8}{24} = \frac{14}{24}$.

Therefore, the solution to the problem is $\frac{14}{24}$, which simplifies our answer.