ANSWER
[tex]3 \frac{1}{4} [/tex]
EXPLANATION
We want to find the distance between
[tex] - 3 \frac{1}{4} [/tex]
and
[tex] - 6 \frac{1}{2} [/tex]
This numbers can be located on the number line.
The distance between them is the absolute value of the difference between the two numbers.
[tex] | - 6 \frac{1}{2} - - 3 \frac{1}{4} | [/tex]
[tex] | - \frac{13}{4} | [/tex]
[tex] = \frac{13}{4} [/tex]
[tex] = 3 \frac{1}{4} [/tex]
