Question

I need to know how to divide these fractions and then simplify it. Thanks!

Answer 1

B. 2/x

Explanation:

`((x^(2))/(x+2) )/((x^(3))/(2x+4) )` Fraction is to divide

`= (x^(2))/(x+2) / (x^(3))/(2x+4)` Dividing fraction is multiplying the second one flipped top/bottom

Cancel out the diagonals

`= (x^(2))/(x+2) X (2x+4)/(x^(3))` Divide x² and x³ by x²

`= (1)/(x+2) X (2x+4)/(x)` Factor out 2x+4

`= (1)/(x+2) X (2(x+2))/(x)` Divide x+2 and 2(x+2) by x+2

`= (1)/(1) X (2)/(x)` 1/1 is the same as 1

`= 1 X (2)/(x)` 1 times any number is the other number

`= (2)/(x)`

The simplified fraction is 2/x.