One way to do this is to multiply each fraction by a common denominator. To find the lowest of these we disregard 9/5 and 2/3 because 5 goes into 10 and 3 goes into 9, and we have 10 and 9 as denominators. 4 and 10 both go into 20 so the LCD is 9×20=180.
324, 80, 120, 405, 18.
Now it’s easy to order them: 18, 80, 120, 324, 405.
So we put the original fractions back: 1/10, 4/9, 2/3, 9/5, 9/4.