Daria's goal is to run 7 miles each weekend. she ran 3 and 1/3 mules on saturday and 3 and 3/4 on Sunday. by how much did she beat her goal?

She beat her goal by 1/12th of a mile.

3 and 1/3=3+1/3

3 and 3/4=3+3/4

add them

3+1/3+3+3/4=3+3+1/3+3/4=6+1/3+3/4

to add fractions, make denomenators the same

1/3 times 4/4=4/12

3/4 times 3/3=9/12

1/3+3/4=4/12+9/12=13/12=1 and 1/12

6+1/3+3/4=6+1+1/12=7+1/12

7 and 1/12 is 1/12 more than 7

beat her goal by 1/12 mile