Answer:
[tex]11\dfrac{3}{5}$ miles[/tex]
Step-by-step explanation:
Miguel ran [tex]2\dfrac{9}{10}[/tex] miles on Monday.
On Friday, he ran 5 times as far as he did on Monday.
Miles run on Friday
[tex]=5 X 2\dfrac{9}{10}[/tex]
[tex]=5 X \dfrac{29}{10}\\=\dfrac{29}{2}$ miles[/tex]
Difference in Number of Miles Run
[tex]=\dfrac{29}{2}-\dfrac{29}{10}\\=\dfrac{145-29}{10}\\=\dfrac{116}{10}\\=11\dfrac{3}{5}$ miles[/tex]
Therefore, Miguel ran [tex]11\dfrac{3}{5}$ miles[/tex] farther on Friday.