Solve: 1/4a + 1/3x + 2/4a + 1/8 + 3/8 - Fraction Expression Simplification

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

• Step 1: Combine like terms.
• Step 2: Simplify the expression.

Now, let's work through each step:
Step 1: Start by identifying and combining like terms in the expression $\frac{1}{4}a + \frac{1}{3}x + \frac{2}{4}a + \frac{1}{8} + \frac{3}{8}$. Recognize that $\frac{1}{4}a$ and $\frac{2}{4}a$ are like terms since they both involve the variable $a$.

Combine these terms:

$\frac{1}{4}a + \frac{2}{4}a = \frac{3}{4}a$

Step 2: Look at the constant terms $\frac{1}{8} + \frac{3}{8}$. Since these fractions have a common denominator, add them directly:

$\frac{1}{8} + \frac{3}{8} = \frac{4}{8} = \frac{1}{2}$

Combine all the terms together to form the simplified expression:

$\frac{3}{4}a + \frac{1}{3}x + \frac{1}{2}$

Therefore, the solution to the problem is $\frac{3}{4}a + \frac{1}{3}x + \frac{1}{2}$.