Estimating a Sum of Many Fractions

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If , which of the following is true?

Review: Estimating a Sum of Many Fractions


Explanation

In this question, x is a sum of fractions. The first one, , is the largest one, because it has the smallest denominator, and the last one, , is the smallest of the terms, since it has the largest denominator. Since is the largest of these 5 terms, we know they will be less than . And since is the smallest of the five terms, we know they will be greater than . Therefore, .

The correct answer is (B).


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