We need to first determine the number of miles she runs in one week, then multiply it by four to get the number of miles she runs in 4 weeks.
First off, it is easier to work with decimals than fractions in these computations.
1/2 is equal to .5 so 4 1/2 is equal to 4.5
3/4 is equal to .75 so 2 3/4 is equal to 2.75
Let's total up the miles she runs each week:
3 days a week she runs 4.5 miles - so that contribution is 3 * 4.5 = 13.5 miles
2 days a week she runs 2.75 miles - so that contribution is 2 * 2.75 = 5.5 miles
Total for one week is 13.5 + 5.5 = 19 miles
Total for four weeks is 19 * 4 = 76 miles