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
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