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Blizzard [7]
3 years ago
9

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

Mathematics
1 answer:
Snowcat [4.5K]3 years ago
5 0

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.

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hope it helped

 

Step-by-step explanation:

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