A team member played 5 3/4 minutes during the first period, 2 2/3 minutes during the secound period, and 10 1/6 minutes during the third period. how many minutes did she play at all

Well, it says "How many minutes did she play at all." So, we are going to add. First, we make 5 3/4 and 2 2/3 a improper fraction. 5 3/4=23/4 and 2 2/3=8/3. 23*3+8*4/4*3=69+32/12=101/12. 101/12 as a mixed number is 8 5/12. Now, we add 8 5/12 by 10 1/6. 8 5/12 as a improper fraction is 101/12 and 8 5/12 as a improper fraction is 61/6. 101*6+61*12/12*6=606+732/72=1,338/12. 1,338/12 simplified is 223/12. 223/12 as a mixed number is 18 7/12. Therefore, She played 18 7/12 minutes.