Solve: (x/8 + x/4 + x/4) + (31/8) + (y/8) Fraction Equation

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

• Step 1: Make sure all terms have a common denominator.
• Step 2: Combine like terms.
• Step 3: Simplify the algebraic expression.

Now, let's work through each step:
Step 1: Convert all terms to have a common denominator. The common denominator for 4 and 8 is 8. Thus:
- $\frac{x}{4}$ becomes $\frac{2x}{8}$ when converted to have the denominator 8,
- $\frac{1}{4}x$ also becomes $\frac{2x}{8}$ when converted to 8.

Step 2: Combine the like terms.
- Combine the $x$ terms: $\frac{x}{8} + \frac{2x}{8} + \frac{2x}{8} = \frac{5x}{8}$.
- The constant term: $\frac{31}{8}$.
- The term with $y$: $\frac{y}{8}$.

Step 3: Write the final expression:

The simplified expression is $\frac{31}{8} + \frac{5x}{8} + \frac{y}{8}$.

Therefore, combining it we have $3\frac{7}{8}+\frac{5}{8}x+\frac{y}{8}$. This matches the given choice $3\frac{7}{8}+\frac{5}{8}x+\frac{y}{8}$.

Hence, the solution to the problem is $3\frac{7}{8}+\frac{5}{8}x+\frac{y}{8}$.