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Thequotientof 6/8dividedby 2/6 is 9/4.To find thequotientof twofractions, we need to divide the numerator of the first fraction by the numerator of thesecond fractionand divide the denominator of the first fraction by the denominator of the second fraction.In this case, we have:6/8dividedby 2/6To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction.Thereciprocalof a fraction is obtained by swapping the numerator and the denominator.So, the reciprocal of 2/6 is 6/2.Therefore, we can rewrite the division as:6/8 x 6/2Now, we can multiply thenumeratorstogether and the denominators together:(6 x 6) / (8 x 2)Which simplifies to:36 / 16Now, we can simplify the fraction by finding thegreatest common divisor(GCD) of 36 and 16, anddividingboth the numerator and the denominator by the GCD.The GCD of 36 and 16 is 4.Dividing both the numerator and denominator by 4, we get:(36 ÷ 4) / (16 ÷ 4)9 / 4So, thequotientof 6/8dividedby 2/6 is 9/4.Learn more aboutdivisionclick;brainly.com/question/2273245#SPJ6...