SOLUTION: Please solve this complex fraction. Show and explain all steps of how you solved it please. The ---- is a division line. Thank you. n

SOLUTION: Please solve this complex fraction. Show and explain all steps of how you solved it please. The ---- is a division line. Thank you. n - 1 ----------- 1/2 + 1/n -----------

Question 733391: Please solve this complex fraction. Show and explain all steps of how you solved it please. The ---- is a division line. Thank you.
n - 1
-----------
1/2 + 1/n
-----------
n - 4 + 3/n
-----------
1 + 2/n
Thank you for spending your time to help me.
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
see the attached worksheet and the comments below it.

can't find 2013/apr043

first you change the division into a multiplication because:
(a/b) / (c/d) = (a/b) * (d/c)
then you multiply the first fraction by 2n/2n and the second fraction by n/n.
you are using the associative law of multiplication to do this.
after this is done yuo are left with fractions that can be factored further to simplify them.
once simplified, the common terms in the numerator and the denominator can be canceled out and you are left with the simplified answer.
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