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Question from nadean, a student:

1+1/1+1/x

Hi Nadean,

You didn't ask a question but my guess you want to

Simplify 1 + 1/(1 + 1/x)

First you need to simplify the expression inside the parentheses

1 + 1/x

To do this you need a common denominator for 1 and 1/x. A denominator which will work is x so

1 + 1/x = x/x + 1/x = (x+1)/x

hence

1 + 1/(1 + 1/x) = 1 + 1/[(x+1)/x] = 1 + x/(x + 1)

Can you complete the problem from here?

Penny

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