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Q: Why the quotient of two fractions is always greater than either fraction?

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

No. 2/3 divided by 3/5 = 10/9

That is simply not true. For example, consider the quotient of 2/9 and 2/3.(2/9) / (2/3) = (2*3)/(9*2) = 3/9 = 1/3 which, unless I am very much mistaken, is not greater than one of the fractions: namely 2/3.

Yes. That's the definition of an improper fraction. If it's not greater than ' 1 ', then it isn't an improper fraction.

True.

Not always. There are times when division of fractions results in a non-improper fraction.

A positive fraction that is less than one is known as a proper fraction. In a proper fraction, the denominator is greater than the numerator. A reciprocal fraction would have a numerator greater than the denominator. Such a fraction is known as an improper fraction. Improper fractions are greater than one.

Not always. If one denominator is a multiple of the other, the LCD will be the larger one.

Both proper and improper fractions have a numerator and a denominator. In a proper fraction the numerator is always less than the denominator. In an improper function the numerator is greater than the denominator

Proper fractions are less than one.. Their numerators re less than their denominators. Their reciprocals have numerators greater than their denominators, making them improper. Improper fractions are greater than 1.

5/5 is an improper fraction, because it is the same as saying 1. Yes. 5/5 is an improper fraction. Improper fractions are fractions with greater numerator than denominator or with the same numerator and denominator. Thus, improper fractions when changed to decimals are always greater than one or exactly equal to one. 5/5 is exactly equal to one, thus it is an improper fraction.

Not necessarily.

Rational numbers can always be expressed as fractions.

Fractions that are less than one are known as proper fractions. Their denominators are greater than their numerators. Their reciprocals would have numerators greater than their denominators, making them improper. Improper fractions are greater than one.

An improper fraction is greater than or equal to 1.

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)

There is no complete answer because a fraction can always be reduced sot there is no smallest fraction.

The product is not always greater than 1.

There is no such fraction. Fractions are infinitely dense and, between any two fractions, there are infinitely many more fractions. It is, therefore, always possible to find a larger proper fraction.For example,9/10 < 99/100 < 999/1000 < 9999/10000 and so on, for ever and ever.There is no greatest fraction.

There can be no such thing as a nearest fraction since, given any fraction, it is always possible to find a fraction that is nearer.

The quotient is always greater than the whole number. Why? Because it takes more to add up a smaller number than a bigger number. I hope this makes sense.. I'm really stupid XD

Not true.4 is greater than 2 but 1/4 = 0.25 is NOT greater than 1/2 = 0.5 However, the opposite is also not always true.

No. A quotient is the result of a division. You can divide any real number by any other real number except zero. Most quotients are not whole numbers.Not always because the quotient could be a decimal or a fraction.

there are 3 types of fractions proper,improper,mixed proper fractions:-numerator is less than denominator like-2/3,5/7,6/9 improper fractions:- numerator is greater than denominator like-3/2,5/4,9/7 mixed fractions:-always improper fractions are converted to mixed fractions,mixed fractions are combination of proper fractions and whole numbers like-2.2/7,5.3/7

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!

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