Instead of dividing these numbers together, it would be easier to flip 11/2 so you would have 2/11 and then multiply. It doesn't effect the answer but I personally think it makes it simpler to calculate.
5/3 x 2/11 = 10/33
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It is: 11 divided by 3/7 = 77/3 or 25 and 2/3
11 divided by 4 is 2 and 3 left over
2/5 divided by 2/3 = 3/5
It is: 11/9
2 over 3 divided by 1 over 5 is 3 1/3.