Question

Divide and simplify

-35+7w / 121w-605
______ __________
5 25

I know you invert the second half of the equation to multiply and then I am stuck.

Answer 1

Switch the first half around so it's 7w-35.
Then factor: 7(w-5)/121(w-5)
Then cancel: 7/121
Then simplify.

Answer 2

I think you meant to type:

(-35 + 7w)/5 divided by (121w - 605)/25

We have a complex fraction here.

We invert (121w - 605)/25 to become
25/(121w - 605) and then we multiply by the left side fraction just like you did back in grammar school

We now have this:

(-35 + 7w)/5 times 25/(121w - 605)

We factor the quantities (-35 + 7w) and (121w - 605).

Then:

(-35 + 7w) can be written 7w - 35 and after we factor it becomes 7(w - 5).

After we factor 121w - 605, it becomes 121(w - 5)

We now have this fraction:

7(w - 5)/5 times 25/121( w - 5)

We can now cancel to get:

35/121

Done!