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Determine the quotient 2/5 ÷ 3/4 .

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When we are dealing with fractions, to perform a division we must fix the first fraction and multiply it by the inverse of the second one. To multiply two fractions, we multiply the numerator among themselves, and the denominators among themselves. The result of the multiplication of the numerators is the numerator of the resulting fraction, and the result of the multiplication of the denominator is the denominator of the resulting fraction. From this, we perform as follows:


((2)/(5))/((3)/(4))=(2)/(5)*(4)/(3)=(2*4)/(5*3)=(8)/(15)

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