find the distance between points A and F

Answer: [tex]2\frac{1}{4}[/tex]
This is the mixed number 2 & 1/4
whole part = 2
fractional part = 1/4
=======================================================
Explanation:
Each tickmark represents [tex]\frac{1}{4}[/tex]
If you count the spaces between points F and A, you should count out exactly 9 spaces as shown in the diagram below.
We'll multiply that value 9 by [tex]\frac{1}{4}[/tex] to get our final answer.
[tex]9*\frac{1}{4} = \frac{9}{4}[/tex]
[tex]\frac{9}{4} = \frac{8+1}{4}\\\\\frac{9}{4} = \frac{8}{4}+\frac{1}{4}\\\\\frac{9}{4} = 2+\frac{1}{4}\\\\\frac{9}{4} = 2 \frac{1}{4}\\\\[/tex]
The result we get is a mixed number 2 & 1/4, meaning the whole part is 2 and the fractional part is [tex]\frac{1}{4}[/tex]