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Question

# A and B represent two fractions. The following information is known: A < 1 B > 1 When A and B are multiplied, the result is a new fraction C. Choose the correct option(s):

A

C > A

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B
A < B
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C

C > B

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D

C < B

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Solution

## The correct option is D C < B As A is a proper fraction, multiplying it with B will have a net effect of taking a fraction of B. Thus, AB < B or, C < B Also it can be inferred from the question that A < B as A < 1 and B > 1. The product of an improper fraction and a proper fraction is greater than the proper fraction so C > A

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