I assume she runs 2/3 of a mile is half an hour.
We can use a proportion to solve this problem.
[tex] \dfrac{\frac{2}{3}~mile}{0.5~hour} = \dfrac{x}{3~hours} [/tex]
[tex] 0.5x = \dfrac{2}{3} \times 3 [/tex]
[tex] 0.5x = 2 [/tex]
[tex] x = 4 [/tex]
Answer: In 3 hours, she would run 4 miles.