Hello need help please with Divide rational and simplify ( - 14 + 7x)/(4) / (4 - 2x)/(4)

Question

Hello need help please with Divide rational and simplify


`( - 14 + 7x)/(4) / (4 - 2x)/(4)`

Answer 1

Dividing fractions is the same as multiplying by its reciprocal so you can change the equation to this

`( - 14 + 7x)/(4) * (4)/(4 - 2x)`
And you can simplify by eliminating the fours and multiplying straight across

`( - 14 + 7x)/(4 - 2x)`
You can pull out - 7 from the top and 2 from the bottom so you have this

`( - 7(2 - x))/(2(2 - x))`
And then you can cancel out to (2-x) to get an answer of

`( - 7)/(2)`