Question

Carmen jogged 5 1/2miles on Monday, 2 3/4 miles on Tuesday, and 5 3/4 miles on Wednesday. How far did shejog during the three days?

Answer 1

Step-by-step explanation

We are given the distance Carmen jogged for three days:

On Monday, she jogged

`5(1)/(2)miles=(11)/(2)miles\text{ }`

On Tuesday, she jogged

`2(3)/(4)=(11)/(4)miles`

On Thursday, she jogged

`5(3)/(4)miles=(23)/(4)miles`

Thus, the total distance jogged for the three days will be the sum of all the distance jogged for the three days.

`(11)/(2)+(11)/(4)+(23)/(4)`

To simplify, we will have to get the lowest common multiple (l.c.m) of the denominator

`l.c.m\text{ of 2, 4, 4 is 4}`

The next step will be to express each term so they can have the same denominator

Thus, we will have

`(11)/(2)+(11)/(4)+(23)/(4)=(22)/(4)+(11)/(4)+(23)/(4)=(22+11+23)/(4)`

=>

`(56)/(4)=14`

Therefore, for the three days, she jogged a total of 14 miles