Question

Kate jogged a total distance of 8 1/2 miles during the months of January and February if katie only jogged 1/4 mile everyday which expression shows the number of days she went jogging

Answer 1

To find the number of days Katie went jogging, divide the total distance she jogged by the distance she jogged each day. In this case, the expression that shows the number of days she went jogging is 8 1/2 miles divided by 1/4 mile/day, which simplifies to 34 days.

Step-by-step explanation:

To find the number of days Katie went jogging, we need to divide the total distance she jogged by the distance she jogged each day. In this case, Katie jogged a total distance of 8 1/2 miles, and she jogged 1/4 mile each day. So the expression that shows the number of days she went jogging is:

8 1/2 miles ÷ 1/4 mile/day

To divide a fraction by a fraction, we need to multiply the first fraction by the reciprocal of the second fraction. The reciprocal of 1/4 is 4/1. So the expression simplifies to:

8 1/2 miles × 4/1 = 34 miles

Therefore, Katie went jogging for 34 days.

Answer 2

Since in this equation we are dividing 17/2 by 1/4, we can think of this as multiplying 17/2 with 4/1 (or 4).

17 4
---- X ----- = 34
2 1

Our final answer is 34 days.