First, let's express the mixed number as a fraction:
[tex]4\text{ }\frac{1}{3}=\frac{4\cdot3+1}{3}=\frac{13}{3}[/tex]She rode her bike for 5 miles on wednesday and on thursday she biked 13/3 times as far as on wednesday, so:
5 miles * (13/3) =
[tex]5\times\frac{13}{3}=\frac{65}{3}\approx21.667miles[/tex]