The problem asks whether the ratios 9:18 and 1:2 are equivalent.

1. Problem Description

The problem asks whether the ratios 9:18 and 1:2 are equivalent.

2. Solution Steps

A ratio can be simplified by dividing both parts of the ratio by their greatest common divisor.

The ratio 9:18 can be written as a fraction $\frac{9}{18}$.

Simplifying this fraction gives $\frac{9}{18} = \frac{9 \div 9}{18 \div 9} = \frac{1}{2}$.

The ratio 1:2 can be written as a fraction $\frac{1}{2}$.

Since $\frac{9}{18}$ simplifies to $\frac{1}{2}$, the ratios 9:18 and 1:2 are equivalent.

3. Final Answer

Yes