First, change all the numbers to decimals to make it easier.
-5/6 = -0.8333333 (3 repeats forever)
-4/9 = -0.44444 (4 repeats forever)
-3/5 = -0.6
-4/7 = -0.5714285714
Then, arrange them from least to greatest:
-0.83, -0.6, -0.5714285714, -0.4
Substitute in the actual fractions:
-5/6, -3/5, -4/7, -4/9