Question

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

Answer 1

Answer:

B. 2/x

Step-by-step explanation:

$\frac{\frac{x^{2}}{x+2} }{\frac{x^{3}}{2x+4} }$   Fraction is to divide

$= \frac{x^{2}}{x+2} / \frac{x^{3}}{2x+4}$   Dividing fraction is multiplying the second one flipped top/bottom

Cancel out the diagonals

$= \frac{x^{2}}{x+2} X \frac{2x+4}{x^{3}}$ Divide x² and x³ by x²

$= \frac{1}{x+2} X \frac{2x+4}{x}$   Factor out 2x+4

$= \frac{1}{x+2} X \frac{2(x+2)}{x}$    Divide x+2 and 2(x+2) by x+2

$= \frac{1}{1} X \frac{2}{x}$     1/1 is the same as 1

$= 1 X \frac{2}{x}$        1 times any number is the other number

$= \frac{2}{x}$

The simplified fraction is 2/x.