I have to put these in order from greatest to least without multiplying?

6x 2/5, 3 2/3x 2/5, 2/7x2/5, 2/2x2/5

I think this is correct the way it is am I right?

All look like numbers multiplied by 2/5.

So list the multiplying factors in decreasing order.

Isn't 2/2 greater than 2/7? Is there a type error where you wrote 2/2x2/5 ?

4888

To put the given expressions in order from greatest to least without multiplying, we can compare them by converting them to an equivalent form so that they have a common denominator.

Let's first convert all the expressions to have a common denominator of 5:

6x 2/5 = (30x + 2)/5
3 2/3x 2/5 = (11x + 2)/5
2/7x 2/5 = (4/7x)/5 = (4x)/35
2/2x 2/5 = (2x)/5

Now, let's order these expressions:

(30x + 2)/5 > (11x + 2)/5 > (2x)/5 > (4x)/35

If we remove the denominators since they are all the same, we can compare the numerators:

30x + 2 > 11x + 2 > 2x > 4x

So, the correct order from greatest to least is:

30x + 2, 11x + 2, 4x, 2x

Therefore, the given expressions are not in the correct order.