Question

Hello need help please with Divide rational and simplify

Answer 1

Dividing fractions is the same as multiplying by its reciprocal so you can change the equation to this
$\frac{ - 14 + 7x}{4} \times \frac{4}{4 - 2x}$
And you can simplify by eliminating the fours and multiplying straight across
$\frac{ - 14 + 7x}{4 - 2x}$
You can pull out - 7 from the top and 2 from the bottom so you have this
$\frac{ - 7(2 - x)}{2(2 - x)}$
And then you can cancel out to (2-x) to get an answer of
$\frac{ - 7}{2}$