Question

the distance of one lap around a school track is \\(\frac{1}{4}\\) mile. sherrie walks 5 laps around the track. how many more laps must sherrie walk to reach a total distance of 3.5 miles? \\(\square\\) laps

Explanation:

Step1: Calculate distance of 5 laps

One lap is $\frac{1}{4}$ mile, so 5 laps: $5\times\frac{1}{4}=\frac{5}{4}$ miles.

Step2: Find remaining distance

Total target: 3.5 miles = $\frac{7}{2}$ miles. Remaining: $\frac{7}{2}-\frac{5}{4}=\frac{14 - 5}{4}=\frac{9}{4}$ miles.

Step3: Calculate additional laps needed

Each lap is $\frac{1}{4}$ mile, so laps: $\frac{9}{4}\div\frac{1}{4}=9$ laps.

Answer:

9