Which of the following represents `1/3` of `1/6` ?

Options

A. `1/3 +1/6`
B. `1/3 - 1/6`
C. `1/3 xx 1/6`
D. `1/3 // 1/6`

Answer

To find which of the following represents \( \frac{1}{3} \) of \( \frac{1}{6} \), we need to understand that "of" in this context means to multiply. Therefore, we need to calculate \( \frac{1}{3} \times \frac{1}{6} \).

### Step-by-Step Solution:

1. **Identify the fractions**: We have \( \frac{1}{3} \) and \( \frac{1}{6} \).

**Hint**: Look for the fractions mentioned in the problem statement.

2. **Set up the multiplication**: We need to multiply these two fractions together.

\[ \frac{1}{3} \times \frac{1}{6} \]

**Hint**: Remember that multiplying fractions involves multiplying the numerators together and the denominators together.

3. **Multiply the numerators**: The numerator of the first fraction is 1 and the numerator of the second fraction is also 1. So,

\[ 1 \times 1 = 1 \]

**Hint**: Keep track of the numbers you are multiplying.

4. **Multiply the denominators**: The denominator of the first fraction is 3 and the denominator of the second fraction is 6. So,

\[ 3 \times 6 = 18 \]

**Hint**: Ensure you multiply the denominators correctly.

5. **Combine the results**: Now, we can write the result of the multiplication as:

\[ \frac{1}{18} \]

**Hint**: Combine the results of the numerators and denominators to form the final fraction.

6. **Conclusion**: The expression \( \frac{1}{3} \) of \( \frac{1}{6} \) is \( \frac{1}{18} \).

Now, let's identify which option represents this calculation:

- Option A: \( \frac{1}{3} + \frac{1}{6} \) (not correct)
- Option B: \( \frac{1}{3} - \frac{1}{6} \) (not correct)
- Option C: \( \frac{1}{3} \times \frac{1}{6} \) (correct)
- Option D: \( \frac{1}{3} \div \frac{1}{6} \) (not correct)

Thus, the correct answer is **Option C: \( \frac{1}{3} \times \frac{1}{6} \)**.