Which of the following is equal to `(x+48)/(12)`?

Options

A. `(x+24)/(6)`
B. `x+4`
C. `4x`
D. `(x)/(12)+4`

Answer

To solve the expression \((x + 48) / 12\) and find which option it is equal to, we can follow these steps:

### Step 1: Rewrite the expression
We start with the expression:
\[ \frac{x + 48}{12} \]
This can be rewritten as:
\[ \frac{1}{12} \cdot (x + 48) \]

### Step 2: Distribute \(\frac{1}{12}\)
Now, we can distribute \(\frac{1}{12}\) to both terms inside the parentheses:
\[ \frac{1}{12} \cdot x + \frac{1}{12} \cdot 48 \]

### Step 3: Simplify the terms
Now, we simplify each term:
- The first term remains \(\frac{x}{12}\).
- The second term simplifies to:
\[ \frac{48}{12} = 4 \]

### Step 4: Combine the simplified terms
Combining the simplified terms gives us:
\[ \frac{x}{12} + 4 \]

### Conclusion
Thus, the expression \((x + 48) / 12\) simplifies to:
\[ \frac{x}{12} + 4 \]
This matches with option D from the given choices.

### Final Answer
The correct option is:
\[ \text{Option D: } \frac{x}{12} + 4 \]

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