Improper Fraction

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If , and r and s are positive integers, which of the following must be less than 1?

Review: Improper Fraction


Explanation

If , then it's a so called improper fraction, such as , or . It means that , as you can see by multiplying the inequality or considering cases. I give the answer choices a scan, and find (E) simplest and also correct.must be less than 1, as you can see from cases or by dividing by r.

The correct answer is (E).


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