3/48 is what part of 1/12?

Options

A. (3/7)
B. (1/12)
C. (4/3)
D. none of these

Answer

To solve the question "3/48 is what part of 1/12?", we can follow these steps:

### Step 1: Set Up the Equation
We need to find out what part \( x \) of \( \frac{1}{12} \) is equal to \( \frac{3}{48} \). We can express this relationship as:
\[ \frac{3}{48} = x \cdot \frac{1}{12} \]

### Step 2: Simplify the Left Side
First, let's simplify \( \frac{3}{48} \):
\[ \frac{3}{48} = \frac{1}{16} \quad \text{(by dividing both numerator and denominator by 3)} \]

### Step 3: Substitute Back into the Equation
Now, we can substitute this back into our equation:
\[ \frac{1}{16} = x \cdot \frac{1}{12} \]

### Step 4: Solve for \( x \)
To isolate \( x \), we can multiply both sides of the equation by 12:
\[ x = \frac{1}{16} \cdot 12 \]

### Step 5: Simplify the Right Side
Now, let's simplify \( \frac{1}{16} \cdot 12 \):
\[ x = \frac{12}{16} = \frac{3}{4} \quad \text{(by dividing both numerator and denominator by 4)} \]

### Conclusion
Thus, \( \frac{3}{48} \) is \( \frac{3}{4} \) of \( \frac{1}{12} \).

### Final Answer
The answer is \( \frac{3}{4} \).

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