Solve the Fraction Expression: 5/8 + 1/2 - 1/4

To solve the problem $\frac{5}{8} + \frac{1}{2} - \frac{1}{4}$, we will follow these steps:

Step 1: Find the least common denominator (LCD).
The denominators are 8, 2, and 4. The least common multiple of these numbers is 8.

Step 2: Convert each fraction to have a denominator of 8.
- $\frac{5}{8}$ already has the denominator 8.
- $\frac{1}{2} = \frac{1 \times 4}{2 \times 4} = \frac{4}{8}$.
- $\frac{1}{4} = \frac{1 \times 2}{4 \times 2} = \frac{2}{8}$.

Step 3: Perform the arithmetic operations.
First, add $\frac{5}{8}$ and $\frac{4}{8}$:
$\frac{5}{8} + \frac{4}{8} = \frac{5 + 4}{8} = \frac{9}{8}$.
Then, subtract $\frac{2}{8}$ from $\frac{9}{8}$:
$\frac{9}{8} - \frac{2}{8} = \frac{9 - 2}{8} = \frac{7}{8}$.

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