The negatives are less than the positives so we need to order -0.5, -1/3, -5/3 first. As decimals they are: -0.5, -0.33 and -1.67. The highest negative is the least, -1.67. -0.5 is less than -0.33 so the order is: -5/3, -0.5, -1/3.
The order of the positives is: 0.5, 1.25. The final order is: -5/3, -0.5, -1/3, 0.5, 1.25.