we are given
[tex] 3\frac{1}{2} miles-3520 yards [/tex]
Since, we have to find our value in miles
so, we need to change everything in terms of miles
and then we can combine them
so, we will have to change 3520 yards into miles
we know that
[tex] 1 mile =1760 yards [/tex]
or we can also write it as
[tex] 1760 yards=1 miles [/tex]
now, we can find for 1 yard
so, we can divide both sides by 1760
[tex] \frac{1760}{1760} yard =\frac{1}{1760} mile [/tex]
[tex] 1yard =\frac{1}{1760} mile [/tex]
now, we can find for 3520 yards
so, we can multiply both sides by 3520
[tex] 3520*1yard =3520*\frac{1}{1760} mile [/tex]
[tex] 3520yards =2 mile [/tex]
now, we can replace it in our expression
[tex] =3\frac{1}{2} miles-2miles [/tex]
now, we can simplify it
[tex] =(3+\frac{1}{2}) miles-2miles [/tex]
[tex] =(3+\frac{1}{2}-2) miles [/tex]
[tex] =(1+\frac{1}{2}) miles [/tex]
[tex] =\frac{3}{2} miles [/tex].................Answer
