3 1/ 4 + 4 1/ 6 +? + 1/4 = 10

Let 13/4 + 25/6 + N + 1/4 = 10, then
N = 10 - (13/4 + 25/6 + 1/4)
= 10 - (39 + 50 + 3)/12
= 10 - 92/12
= 7/3
= 2¹/₃