The first graphed rational number is at the middle of -2 and -1, thus the number represented is [tex]-1 \frac{1}{2} [/tex]
The second graphed number is five out of six places from from 0 to 1, thus the number graphed is [tex]0+ \frac{5}{6} = \frac{5}{6}[/tex]
The difference between the two numbers can be represented as
[tex]-1 \frac{1}{2} - \frac{5}{6} [/tex]
or
[tex] \frac{5}{6} -(-1 \frac{1}{2} )= \frac{5}{6} +1 \frac{1}{2}[/tex]
To find the difference,
[tex]-1 \frac{1}{2} - \frac{5}{6} \\ \\ =-1 \frac{3+5}{6} \\ \\ =-1 \frac{8}{6} =-2 \frac{2}{6} \\ \\ =-2 \frac{1}{3} [/tex]
Also,
[tex]\frac{5}{6} +1 \frac{1}{2} \\ \\ =1 \frac{5+3}{6} \\ \\ =1 \frac{8}{6} =2 \frac{2}{6} \\ \\ =2 \frac{1}{6} [/tex]
