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

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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.

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.

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.

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

they are the same they are both 9

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

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

The quotient will be less than one.

Proper fractions.

greater than

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