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| Math Central | Quandaries & Queries |
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Question from Cody, a student: How do you go about simplifying something like this; n-1/(n+1)! + n+1/n!? |
Cody,
Find a common denominator.
Claude
Cody,
Remember that (n+1)! is just n!(n+1). So multiply the top and bottom of the second fraction by (n+1)/(n+1) to create the common denominator (n+1)!, then simplify your summed numerator. If you can factor the numerator and get factor(s) that are also in the denominator, start cancelling.
Stephen La Rocque.>
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