Evaluate: `1 div (1)/(3)`

Options

A. `6`
B. `3`
C. `1`
D. `9`

Answer

To evaluate the expression \( 1 \div \left(\frac{1}{3}\right) \), we can follow these steps:

### Step-by-step Solution:

1. **Understand the Division of Fractions**:
When dividing by a fraction, we can multiply by its reciprocal. The reciprocal of a fraction \( \frac{a}{b} \) is \( \frac{b}{a} \).

2. **Rewrite the Expression**:
The expression \( 1 \div \left(\frac{1}{3}\right) \) can be rewritten using multiplication:
\[ 1 \div \left(\frac{1}{3}\right) = 1 \times \left(\frac{3}{1}\right) \]

3. **Perform the Multiplication**:
Now we multiply:
\[ 1 \times \frac{3}{1} = \frac{3}{1} \]

4. **Simplify the Result**:
The fraction \( \frac{3}{1} \) simplifies to:
\[ 3 \]

### Final Answer:
Thus, the value of \( 1 \div \left(\frac{1}{3}\right) \) is \( 3 \).

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