Solve the Fraction Addition: 3/8 + 1/4 Step-by-Step

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

• Step 1: Identify the least common multiple (LCM) of the denominators 8 and 4.
• Step 2: Convert $\frac{1}{4}$ to a fraction with the denominator of 8.
• Step 3: Add the fractions $\frac{3}{8}$ and $\frac{2}{8}$.

Now, let's work through each step:
Step 1: The LCM of 8 and 4 is 8, so this will be the common denominator.
Step 2: Transform $\frac{1}{4}$ into a fraction with the denominator of 8. Multiply the numerator and the denominator by 2 to get $\frac{2}{8}$.
Step 3: Now, add the fractions with the same denominator: $\frac{3}{8} + \frac{2}{8} = \frac{5}{8}$.

Therefore, the sum of $\frac{3}{8}$ and $\frac{1}{4}$ is $\frac{5}{8}$, which matches choice 4.