Answer:
A) 2/3, -3/4, 1/2, -1/3
Start by making all of them have the same denominator. They all multiply to 12 easily, so I will use that. Remember that whatever you do to the top you have to do to the bottom, and vice versa.
Multiply 2/3 by 4/4 to get 8/12
Multiply -3/4 by 3/3 to get -9/12
Multiply 1/2 by 6/6 to get 6/12
Multiply -1/3 by 4/4 to get -4/12
Least to greatest (new): -9/12, -4/12, 6/12, 8/12
Least to greatest (old): -3/4, -1/3, 1/2, 2/3 <-------- this is your answer
C) -9/10, -8/9, -4/5, -41/45
Make them have the same denominator. They all multiply to 90, so I'll use that.
Multiply -9/10 by 9/9 to get -81/90
Multiply -8/9 by 10/10 to get -80/90
Multiply -4/5 by 18/18 to get -72/90
Multiply -41/45 by 2/2 to get -82/90
Least to greatest (new): -82/90, -81/90, -80/90, -72/90
Least to greatest (old): -41/45, -9/10, -8/9, -4/5 <-------- this is your answer
E) -3, -2 2/3, -3 1/6, 2 3/4
Make the mixed numbers into improper fractions by multiplying the whole number with the denominator, and then adding the numerator:
-3 ---> -3/1 (this one's easy)
-2 2/3 ---> -8/3
-3 1/6 ---> -19/6
2 3/4 ---> 11/4 (this one is the only positive one, so it will be the greatest)
Same denominator. I'm using 12.
Multiply -3/1 by 12/12 to get -36/12
Multiply -8/3 by 4/4 to get -32/12
Multiply -19/6 by 2/2 to get -38/12
Multiply 11/4 by 3/3 to get 33/12
Least to greatest (new): -38/12, -36/12, -32/12, 33/12
Least to greatest (old): -3 1/6, -3, -2 2/3, 2 3/4 <-------- this is your answer