Answer:
She ran 7.5 laps
Step-by-step explanation:
Given that:
Total Distance Covered = d = 3 and 3/4 miles
that is: [tex]3\frac{3}{4} = \frac{15}{4}\ miles[/tex]
Distance per mile = l = 1/2 miles
In order to find the number of laps, we have to simply divide the total distance covered by number of miles in one lap.
Let n be the number of laps then
[tex]Number\ of\ laps = \frac{Total\ distance}{Distance\ of\ one\ mile}\\n = \frac{d}{l}\\n = \frac{\frac{15}{4}}{\frac{1}{2}}\\Using\ \frac{\frac{a}{b}}{\frac{c}{d}} => \frac{a}{b} * \frac{d}{c}\\n = \frac{15}{4} * \frac{2}{1}\\n = \frac{30}{4}\\n = 7.5\ laps[/tex]
Hence,
She ran 7.5 laps