The first thing to note is that we have two negative numbers, -1/2 and -1.2. Negative numbers are smaller than positive numbers so we can put the negative numbers in order first. The second thing to note is that -1/2 is nearer to zero than -1.2. These negative numbers lie on either side of -1, so the lesser of the two is on the left of -1. The lesser (-1.2) is more negative than -1. That's the least of all four numbers. Next is -1/2. Now we just have two positives: 7/3 and .44. This time 7/3 is bigger than 1 and .44 or 0.44 is smaller than 1. So we can place them in order: .44 and 7/3.
Put them all together and we have least to greatest: -1.2, -1/2, .44, 7/3.