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## Tutor, Mentor and Accomplished Mathematician

### Fair Lawn, NJ (07410)

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# Carolyn's Responses in WyzAnt Answers

#### a/a+1 -1/a-1

adding and subtracting with unlike denominators

+ more- less
Asked by Haley from Wildomar, CA
10

Just like any other adding and subtracting with unlike denominators, you need to find the least common denominator. In this case, the LCD is just the multiple of the denominators. So multiply both the top and bottom of a/a+1 by (a-1) and multiply both the top and bottom of 1/a-1 by (a+1) to get:

(a/a+1)*(a-1/a-1) - (1/a-1)*(a+1)/(a+1)

= a(a-1)/(a+1)(a-1) - (a+1)/(a+1)(a-1)

Then combine the numerators:

= a(a-1)-(a+1) / (a-1)(a+1)

Distribute and simplify the numerator to get:

a2 - a - a - 1 / (a-1)(a+1)

= a2 - 2a  - 1 / (a-1)(a+1)

Factor the numerator:

= (a-1)(a-1) / (a-1)(a+1)

(a-1) in both numerator and denominator cancels out:

= (a-1)/(a+1)

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## Background Check Status for Carolyn C.

Carolyn C. passed a background check on 2/26/2013. You may run an updated background check on Carolyn once you send an email.