Final answer:
Sophia exceeded her goal of running 3 miles by running 5/6 of a mile on Saturday and 2 3/4 miles on Sunday, totaling 3 7/12 miles.
Step-by-step explanation:
The question asks whether Sophia met her goal of running 3 miles total over the weekend, having run 5/6 of a mile on Saturday and 2 3/4 miles on Sunday. To determine if Sophia met her goal, we need to add the distances she ran on each day.
On Saturday, Sophia ran 5/6 of a mile. On Sunday, she ran 2 3/4 miles, which can also be written as 2.75 miles or 11/4 miles when converted to an improper fraction.
Now, let's add the two fractions:
Sophia ran a total of 3 7/12 miles, which exceeds her goal of 3 miles. Therefore, Sophia did meet her running goal for the weekend.