Respuesta :
Explanation
We are given the distance Carmen jogged for three days:
On Monday, she jogged
[tex]5\frac{1}{2}miles=\frac{11}{2}miles\text{ }[/tex]On Tuesday, she jogged
[tex]2\frac{3}{4}=\frac{11}{4}miles[/tex]On Thursday, she jogged
[tex]5\frac{3}{4}miles=\frac{23}{4}miles[/tex]Thus, the total distance jogged for the three days will be the sum of all the distance jogged for the three days.
[tex]\frac{11}{2}+\frac{11}{4}+\frac{23}{4}[/tex]To simplify, we will have to get the lowest common multiple (l.c.m) of the denominator
[tex]l.c.m\text{ of 2, 4, 4 is 4}[/tex]The next step will be to express each term so they can have the same denominator
Thus, we will have
[tex]\frac{11}{2}+\frac{11}{4}+\frac{23}{4}=\frac{22}{4}+\frac{11}{4}+\frac{23}{4}=\frac{22+11+23}{4}[/tex]=>
[tex]\frac{56}{4}=14[/tex]Therefore, for the three days, she jogged a total of 14 miles
