Graduate Management Admission Test (GMAT) Practice Test

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When simplifying the fraction (a/b)/(c/d), which operation is performed?

(a/b) + (c/d)
(a/b) X (d/c)
(a*c)/(b*d)
(a/d)/(b/c)

The correct answer is: (a/b) X (d/c)

When simplifying the fraction (a/b)/(c/d), the operation performed involves multiplying by the reciprocal of the denominator. To break it down, the expression (a/b)/(c/d) can be rewritten as (a/b) multiplied by the reciprocal of (c/d), which is (d/c). Thus, the operation performed is (a/b) X (d/c). This results in the product of the two fractions, which can then be further simplified to (a*d)/(b*c) if necessary. This provides a clear understanding of how fractions are manipulated, particularly in terms of dividing by a fraction and the resultant operation that is involved.