#### Algebraneophyte

##### New member

- Joined
- Apr 27, 2021

- Messages
- 12

Hi Guys.

I got this one correct, but unsure on my full working. This is as follows:

When dividing fractions we cancel down parallel and then switch one and multiply.

2(x-5) / (5(x^4 + 6x^3) ÷ 3(x-5) / 35(x^3+6x^2)

(x^4+6x^3) ÷ (x^3+6x^2) *does this equal x+x or x?* *(I think it is one factor of x we take out , but if you could explain why precisely that would be great)*

35/5 = 7/1

So we have: (2/x) ÷ (3/7) = (2/x) X (7/3) = 14/3x