Verified Answer :

In order to compare all of them, you'll need to convert all of them into one type of format (here we will use decimal form) :

-4 1/2 , -17/4, -4.65, 33/8

Convert only mixed number to fraction form, 
-9/2, -17/4, -4.65, 33/8

Now, convert all the fractions into decimals, 
-4.5, -4.25, -4.65, 4.125

Now, it's easy to compare all of them, Arrange them as follows:
-4.65 < -4.5 < -4.25 < 4.125

At-last, you can re-write their original forms, 

-4.65 < -4 1/2 < -17/4 < 33/8

Hope this helps!

olemakpadu

-4 1/2, -17/4, -4.65, 33/8              Change all to decimal.

- 4.5,  -4.25, -4.65, 4.125

For negative numbers, the one with the biggest size is the smallest.

So arranging from the least to greatest:

-4.65, -4.5, -4.25, 4.125      , replacing with the original numbers.

-4.65, -4  1/2,  -17/4, 33/8      is the order from the least to the greatest.

Hope this explains it.

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