Mike jogged a total distance of 5 and 1 over 3 miles during the months of October and November. If Mike only jogged 1 over 6 mile every day, which expression shows the number of days in which he went jogging? (5 points)

A.) 5 and 1/3 multiplied by 1/6
B.) 5 and 1/3 plus 1/6
C.) 5 and 1/3 minus 1/6
D.) 5 and 1/3 divided by 1/ 6

1 answer

To find the number of days in which Mike went jogging, we need to divide the total distance jogged by the distance jogged per day.

The total distance jogged is 5 and 1/3 miles.
The distance jogged per day is 1/6 mile.

To calculate the number of days, we divide the total distance jogged by the distance jogged per day:
Number of days = Total distance jogged / Distance jogged per day
Number of days = (5 and 1/3) / (1/6)

To divide a fraction by another fraction, we multiply the first fraction by the reciprocal of the second fraction:
Number of days = (5 and 1/3) * (6/1)
Number of days = (16/3) * (6/1)

To multiply fractions, we multiply the numerators together and the denominators together:
Number of days = (16 * 6) / (3 * 1)
Number of days = 96/3
Number of days = 32

Therefore, the expression that represents the number of days in which Mike went jogging is:

D.) 5 and 1/3 divided by 1/6