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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.

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Q: Why is the quotient of of two fractions always greater than either fractions?
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Why is the product of two proper fractions less than either of the fractions?

A proper fraction is less than 1. Whenever you multiply something by a number < 1, the result (product) is less than the original number. So when you multiply a proper fraction by a number less one (such as another proper fraction, the product is less than the original proper fraction. The only time a product involving a given number is larger than the given number is when you multiply the given number by a number that is > 1. Since all proper fractions are < 1, products involving them are always less than the original given number.


The sum of two whole numbers is always greater than either addend?

the sum of two whole numbers is always greater than either addend* * * * *No.Consider:5 is a whole number-3 is a whole number.Their sum is 2, which is notgreater than one of the addends (5).


What is the quotient of 4 and a number x increased by 6?

It could be either 4/x + 6 or 4/(n + 6).


What number is both rational and irrational?

None. A rational number is a number that can be written as the quotient of two integers where the divisor is not zero. An irrational number is a real number that cannot be written as the quotient of two integers where the divisor is not zero. Any given real number either can or cannot be written as the quotient of two integers. If it can, it is rational. If it cannot, it is irrational. You can't be both at the same time. The square root of -1 is not a real number and it cannot be written as the quotient of two integers, so it is neither rational nor irrational.


Can a real number be both rational and irrational?

No it cannot. Math is an exact science. As it has been said before, A number can either be written as the quotient of two integers or it cannot. You can't have it both ways.

Related questions

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

the quotient is always greater than the either fraction because any time when you multiply either number with 1 you will get the whole entire universe heheheheh


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.


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 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.


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 is the product of two fractions less than its factors?

If the fractions are both proper fractions ... equivalent to less than 1 ... thenthat's always true ... the product is always less than either factor.


How do you find the greater or least in fractions?

You either convert the fractions to a common denominator, and then compare, or you convert them to their decimal equivalent and then compare. The latter can quickly be done with a calculator.


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

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.


The quotient of any two negative integers is a negative number true or false?

False. Either the product or the quotient of two negative numbers is positive.False. Either the product or the quotient of two negative numbers is positive.False. Either the product or the quotient of two negative numbers is positive.False. Either the product or the quotient of two negative numbers is positive.


Is the product of tow numbers is greater than either number?

Not always.


The sum of two numbers is always greater than either of the two numbers?

Not true if either of the numbers is negative.


What are fractions greater than one?

There is an infinity number of fractions that are greater than 1. To create one yourself, put a higher number in the numerator than the denominator and do not use 0 for either. Examples are 2/1, 5/3, 22/7, 9999999/1030483, etc.