The best way is to find the a common denominator. First, let's simplify some of them.
4/6 = 2/3
6/12 = 1/2
7/7 = 1
So our denominators are now 8, 3, 6, 2. We won't convert 1 to a fraction, and we know that the others are all less than 1.
8 x 3 x 6 x 2 = 288
Multiply each fraction by the other denominators and put them over 288.
(3/8) x 3 x 6 x 2 = 108/288
(2/3) x 8 x 6 x 2 = 192/288
(5/6) x 8 x 3 x 2 = 240/288
(1/2) x 8 x 3 x 6 = 144/288
Put them in ascending order: 108, 144, 192, 240.
So the order would be 3/8, 6/12, 4/6, 5/6, 7/7.
