Number Line Pattern: Find the Missing Value in 0, 1/2, 1 Sequence

Let's begin by looking at the numbers from left to right:

$0,\frac{1}{2},1,1\frac{1}{2}$

We are able to deduce that the common operation is:

$+\frac{1}{2}$

$0+\frac{1}{2}=\frac{1}{2}$

$\frac{1}{2}+\frac{1}{2}=1$

$1+\frac{1}{2}=1\frac{1}{2}$

Therefore, the next sequence will be:

$1\frac{1}{2}+\frac{1}{2}=2$

$2+\frac{1}{2}=2\frac{1}{2}$

$2\frac{1}{2}+\frac{1}{2}=3$