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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.

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Q: Why is the quotient of two fractions less than either fraction?
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When will the quotient of two fractions less than 1 be greater than either fraction?

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


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

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.


Why is the quotient of two fractions less than 1 always greater than either fraction?

There can be no answer because it is not necessarily true. Suppose f1 and f2 are two fractions.Suppose f1 = 1/2, which is less than 1;suppose f2 = -1/4, which is also less than 1.Then f1/f2 = -2 which is, in fact, smaller than either fraction. Go figure!


When you divide a fraction by a whole number greater than one how does the quotient compare to the fraction?

The quotient is less than the fraction.


Why does the quotient of two fractions less than 1 greater than either fraction?

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.


When you divide a unit fraction by a whole number will the quotient be greater than or less than the unit fraction?

The quotient will be less. 1/2 ÷ 2 = 1/4


When you divide two fractions does the quotient always greater than either fraction?

No. 1/5 divided by 1/2 = 2/5 (that's less than 1/2) 1/10 divided by 1/3 = 3/10 (that's less than 1/3)


Why does a unit fraction less than one is divided by a who number greater than 1 the quotient is always greater than the dividend?

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


When you divide a whole number by a fraction less than one will the quotient be greater than or less than the whole number?

When you divide a number by a fraction between zero and one, the quotient will be greater than that number.


What are negative fractions?

A fraction with a value of less than zero.


Is the quotient of two fractions greater or less than the fractions you srart with?

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


Are fraction rational number?

A fraction is a number that expresses part of a whole as a quotient of integers (where the denominator is not zero).A rational number is a number that can be expressed as a quotient of integers (where the denominator is not zero), or as a repeating or terminating decimal. Every fraction fits the first part of that definition. Therefore, every fraction is a rational number.But even though every fraction is a rational number, not every rational number is a fraction.Why? Consider this:Every integer (all the whole numbers, including zero, and their negatives....-3,-2,-1,0,1,2,3...) is a rational number, because it can be expressed as a quotient of integers, as in the case of 4 = 8/2 or 1 = 3/3 or -3 = 3/-1 and so on. So integers such as 4 or 1 can be expressed as the quotient of integers.But an integer is not a fraction. 4 is an integer, but it is not a fraction. 4 is not expressed as the quotient of integers. The difference here is in the wording.A fraction is a number that expresses part of a whole. An integer does not express a part. It only expresses a whole number.A rational number is a number that can be expressed as a quotient of integers, or as part of a whole, but fraction is a number that is (must be) expressed as a quotient of integers, or as part of a whole - there is a difference. The difference is subtle, but it is real.In a nutshell, the fractions are a subset of the rational numbers. The rational numbers contain the integers, and fractions don't.Note: Mathematicians do not generally use the term "fractions." They usually only talk about rational numbers. Fractions are more or less a term that is used for pedagogical reasons.It's kind of funny. Someone uses a term not used in math to teach math, then makes up tons of tests about "fractions, improper and proper fractions," etc. and tests you on them, even though they are not mathematical terms. Go figyah!