`2/3` is what percent of `1/3` ?

Options

A. 50%
B. `33(1)/(3)%`
C. 150%
D. 200%

Answer

To solve the question "2/3 is what percent of 1/3?", we can follow these steps:

### Step-by-Step Solution:

1. **Set up the equation**:
We want to find out what percent \( x \) of \( \frac{1}{3} \) is equal to \( \frac{2}{3} \). We can express this mathematically as:
\[ \frac{2}{3} = \frac{x}{100} \times \frac{1}{3} \]

2. **Multiply both sides by 100**:
To eliminate the fraction on the right side, we can multiply both sides of the equation by 100:
\[ 100 \times \frac{2}{3} = x \times \frac{1}{3} \]
This simplifies to:
\[ \frac{200}{3} = \frac{x}{3} \]

3. **Multiply both sides by 3**:
To get rid of the denominator, multiply both sides by 3:
\[ 200 = x \]

4. **Conclusion**:
Thus, we find that \( x = 200 \). Therefore, \( \frac{2}{3} \) is \( 200\% \) of \( \frac{1}{3} \).

### Final Answer:
So, \( \frac{2}{3} \) is **200%** of \( \frac{1}{3} \).

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