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It need not be. The numbers 1/2 and (-1/2) are both fractions less than 1 but their quotient is -1, which is less than both the fractions.

Q: Why is the quotient of two fractions less than 1 greater than both?

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This is simply not true.Consider 2/9 and 2/3Then (2/9) / (2/3) = (2/9)*(3/2) = 1/3and the last time I looked, 1/3 was not greater than 2/3.So, if it is not greater than one fraction, it cannot be greater than both.

they are the same they are both 9

The quotient need not be greater than a whole number less than one!

There can be no reason because your assertion is not true.For example, 1/6 and 1/2 are both fractions less than one. But their quotient is (1/6)/(1/2) = (1/6)*(2/1) = 2/6 = 1/3. And that is not more than 1/2.

greater than

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Yes. Consider two negative fractions. Since they are negative, both are less than 1. But their product is positive and so greater than either.

It is greater as for example 3/4 divided by 1/4 is equal to 3

You find the common denominator for both fractions and which ever has the highest numerator is greater.

This is simply not true.Consider 2/9 and 2/3Then (2/9) / (2/3) = (2/9)*(3/2) = 1/3and the last time I looked, 1/3 was not greater than 2/3.So, if it is not greater than one fraction, it cannot be greater than both.

The statement is simply not true.Consider 2/9 and 2/3, both are fractions which are less than 1.Their quotient is (2/9) / (2/3) = (2/9)*(3/2) = 3/9 = 1/3The last time I checked, 1/3 was not greater than 2/3. I have no idea where you are getting your rubbish assertions from.

they are the same they are both 9

Yes, but this is true of not just unit fractions but any positive number.

The quotient need not be greater than a whole number less than one!

Greater the divisor is less than 1,so the quotient is greater than the dividend

The quotient will be less than one.

There can be no reason because your assertion is not true.For example, 1/6 and 1/2 are both fractions less than one. But their quotient is (1/6)/(1/2) = (1/6)*(2/1) = 2/6 = 1/3. And that is not more than 1/2.

greater than