Solve the Fraction Addition: 1/2 + 1/8 + 1/4 Step by Step

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

• Step 1: Find the least common denominator of 2, 8, and 4.
• Step 2: Convert each fraction to have the common denominator.
• Step 3: Perform the addition of the adjusted fractions.
• Step 4: Simplify the result if needed.

Now, let's work through each step:
Step 1: The denominators are 2, 8, and 4. The least common denominator (LCD) of these numbers is 8.
Step 2: Convert each fraction:
$\frac{1}{2} = \frac{1 \times 4}{2 \times 4} = \frac{4}{8}$
$\frac{1}{8} = \frac{1}{8}$ (already in the desired form)
$\frac{1}{4} = \frac{1 \times 2}{4 \times 2} = \frac{2}{8}$
Step 3: Add the fractions:
$\frac{4}{8} + \frac{1}{8} + \frac{2}{8} = \frac{4 + 1 + 2}{8} = \frac{7}{8}$
Step 4: The fraction $\frac{7}{8}$ is already in its simplest form.

Therefore, the solution to the problem is $\frac{7}{8}$.