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Hello need help please with Divide rational and simplify
[tex] \frac{ - 14 + 7x}{4} \div \frac{4 - 2x}{4} [/tex]

Respuesta :

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