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

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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.

A fraction written with an integer numerator placed over a (nonzero) integer denominator is called a vulgar fraction. Vulgar fractions are also known as common fractions or simple fractions. Examples are 2/5 and 7/3. In those examples, the numerators are 2 and 7, the denominators are 5 and 3, all of which are integers. Simple/common/vulgar fractions are distinguished from compound fractions, from complex fractions, from mixed numerals, from decimal fractions, and from irrational fractions. Examples of fractions that are not common fractions are: * 0.75 -- decimal fraction * (3/4) / 2 -- complex fraction * (3/4) / (2/3) -- complex fraction * (1 1/2) / 2 -- complex fraction with mixed numeral in numerator * 3/4 of 5/7 -- compound fraction * 75% --- which equals 75/100, but written as a percent, it has neither a numerator nor a denominator * pi/4 -- irrational fraction. The distinction between common fractions and fractions that are not common is NOT the same as the distinction between proper fractions and improper fractions (which is explained below, but which is not needed to understand what a common fraction is). Common fractions can be either proper or improper. ------ If the absolute value of the numerator (the number on top) is less than the absolute value of the denominator (the number on the bottom) the fraction is called a PROPER fraction.. Examples are 2/3 and and -2/5. If the absolute value of the numerator is greater than the absolute value of the denominator (the number on the bottom) the fraction is called IMPROPER. Examples are 3/2 and and -5/2. Improper fractions can be converted to a mixed numeral, that is, an integer plus a fraction. For example 7/3 is equal to 2 1/3.

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.

because when you multiply the denominators it creates a much smaller proportion. for example multiply 0.5 by 0.5, the result is 0.25 in fractions it is 1/2 x 1/2, the result 1/4

The answer depends on the form of the fraction. If it is a decimal fraction, you need to nothing to convert it to a decimal! (?). If it is in the form of a rational fraction, you need to use long division to divide the numerator by the denominator. The division will either come to an end or will go into a repeating loop of digits. The quotient from the division is the decimal equivalent. To convert to a percentage, simply move the decimal point two places to the right - inserting os if required.

Related questions

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

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

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.

To be called a complex fraction, either the numerator, the denominator, or both, are fractions (or contain fractions).

Fractions are generally thought of as quantities less than one. If a fraction is equal to or greater than one, it is either a mixed fraction, such as 3 1/2 (three and one half), or an improper fraction, such as 3/2 (three halves) or 5/3 (five thirds). The student should learn how to convert quickly from mixed fractions to improper fractions and vice versa.

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!

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 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.

a fraction in which either the numerator or the denominator, or both, contain one or more fractions. Also called complex fraction.

Mixed numbers are a type of fraction.

That's a proper fraction. Fractions can be either proper or improper and can't change.

No, a compound fraction is a fraction in which either the numerator or the denominator, or both, contain one or more fractions.

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