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Suppose the two fractions, in their simplest form, are a/b and c/d, that is to say, a and b have no common factors, and neither do ca nd d. You want to find the quotient: (a/b) / (c/d). Now, dividing by (c/d) is the same as multiplying by (d/c). So the required quotient is the same as (a/b) * (d/c) or (a*d)/(b*c) .

Multiply a and d for the numerator, b abd c for the denominator (after eliminating any factors that are common to a and c, and to b and d). That is your answer.

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