Given:
Number of miles covered = [tex]2\dfrac{1}{2}[/tex]
Length of each lap = [tex]\dfrac{5}{6}[/tex] of a mile.
To find:
The number of laps.
Solution:
We know that,
[tex]\text{Number of laps}=\dfrac{\text{Number of miles covered}}{\text{Length of each lap}}[/tex]
[tex]\text{Number of laps}=\dfrac{2\dfrac{1}{2}}{\dfrac{5}{6}}[/tex]
[tex]\text{Number of laps}=\dfrac{\dfrac{5}{2}}{\dfrac{5}{6}}[/tex]
[tex]\text{Number of laps}=\dfrac{5}{2}\times \dfrac{6}{5}[/tex]
[tex]\text{Number of laps}=3[/tex]
Therefore, Grayson ran 3 laps.