SOLUTION: Simplify: x+2/x / x-2/3x

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Question 85429: Simplify: x+2/x / x-2/3x
Answer by praseenakos@yahoo.com(507) About Me  (Show Source):
You can put this solution on YOUR website!
Question:

Simplify: x+2/x / x-2/3x

Answer:

Your question is +%28%28x%2B2%29%2Fx%29++%2F+%28%28x-2%29%2F3x%29+

When you divide a rational expression by another rational expression, take the reciprocal of the divisor and then multiply it with the dividend...


Here dividend is %28%28x%2B2%29%2Fx%29

Divisor is +%28%28x-2%29%2F3x%29+


Reciprocal of divisor is +%283x%2F%28x-2%29%29


Then,

+%28%28x%2B2%29%2Fx%29++%2F+%28%28x-2%29%2F3x%29+ = %28%28x%2B2%29%2Fx%29 * %283x%2F%28x-2%29%29

Here you can see that one 'x' is common in both the numerator and the denominator....so they will get cancelled......


==> %28%28x%2B2%29%2F1%29 * %283%2F%28x-2%29%29



further simplication is notpossible.....so the answer is....



+%283%28x%2B2%29%2F%28x-2%29%29


Hope you found the explanation useful....


Regards.

Praseena.