Desmond says 12/6 and 3/6 could be used to represent the dot on the number line. Is Desmond correct? Explain how you know.

The number line between 0 and 1 is divided into 6 equal segments. The dot is located on the 4th mark from 0.
Therefore, the dot represents the fraction $\frac{4}{6}$.

$\frac{2}{12}$ represents the dot.
To compare $\frac{2}{12}$ with $\frac{4}{6}$, simplify $\frac{2}{12}$:

Since $\frac{1}{6} \neq \frac{4}{6}$, Desmond's first claim is incorrect.

$\frac{3}{6}$ represents the dot.
Compare $\frac{3}{6}$ with $\frac{4}{6}$.
Since $\frac{3}{6} \neq \frac{4}{6}$, Desmond's second claim is incorrect.

Desmond is incorrect. The dot on the number line represents $\frac{4}{6}$. Neither $\frac{2}{12}$ (which simplifies to $\frac{1}{6}$) nor $\frac{3}{6}$ is equivalent to $\frac{4}{6}$.