3√100/9

To simplify the expression \( \frac{3\sqrt{100}}{9} \):

1. First, simplify \( \sqrt{100} \): \[ \sqrt{100} = 10 \]

2. Now substitute back into the expression: \[ \frac{3 \cdot 10}{9} \]

3. This simplifies to: \[ \frac{30}{9} \]

4. Finally, simplify \( \frac{30}{9} \): \[ \frac{30}{9} = \frac{10}{3} \]

So, the final result is: \[ \frac{10}{3} \]