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I am attempting to solve this problem for a sorting algorithm with a lot of elements in fraction form (I'm avoiding floating point operations). My question is:

Given a sequence of increasing fractions, does adding 1 to the denominator affect the ordering of th sequence?

Given the sequence for example:

1/5, 3/4, 8/10 ... a/b, x/y where x/y > a/b

If I add 1 to thye denominator:

1/(5+1) , 3 / (4+1), 8 / (10+1) ... a /(b+1), x/(y+1)

is the order of the sequence preserved?

thanks!

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# Homework Help: Adding 1 to the denominator of each fraction in a sequence of increasing fractions

**Physics Forums | Science Articles, Homework Help, Discussion**