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What are Consecutive Fractions?

Updated: 4/28/2022
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A consecutive fraction is a number written as a series of alternating multiplicative inverses and integer addition operators. Consecutive fractions are studied in the number theory branch of mathematics. Consecutive fractions are also known as continued fractions and extended fractions.

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Q: What are Consecutive Fractions?
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What does consecutive mean in fractions?

The concept of consecutive has no meaning for fractions. This is because there are infinitely many fractions between any two fractions. And between any two of them, there are infinitely many, and so on. As a result, there cannot be any "next" fraction.


Can consecutive integers be fractions?

No. The concept of consecutive makes sense for integers but not for fractions. Fractions are infinitely dense. This means that there are infinitely many fractions between any two numbers - including between any two fractions. So, given one fraction, f1, there cannot be a "next" or "consecutive" fraction, f2, because there are an infinite number of fractions between f1 and f2.


How do you simplify consecutive fractions?

Simplify consecutive fractions? like 2/4 and 3/4?? Obviously they cannot be simplified. Except in the case where the denominator is one.. which are just the set of whole numbers. For example, lets take any denominator above 1... how bout 345. Then for any two consecutive numbers say 24 and 25, or 234 and 235, at most, only one will be able to be simplified.


What are the five consecutive numbers of 77?

No five consecutive numbers make 77. 13 + 14 + 15 + 16 + 17 = 75 and 14 + 15 + 16 + 17 + 18 = 80 You cannot consider fractional numbers because the concept of consecutive does not apply to fractions.


What are consecutive numbers for -120 percent?

120% (or -120%) is a fraction. As soon as you start working with fractions, the concept of consecutive begins to lose any relevance. For example, what number would you consider to be consecutive to 0.75? 0.76 or 0.751 or 0.7501, or 4/4 or 7/8 [=(6+1)/8] etc?


Are consecutive numbers limited to integers?

Yes. This is because rational and irrational numbers are infinitely dense. Between any two such numbers there are infinitely many numbers and consequently there can be no "next" or consecutive number.


Is infinity in between every number?

There's an infinite number of fractions possible between any two consecutive whole numbers.FOOTNOTE: Still, there are as many "whole" numbers are there are fractions. Paradoxically, there are more decimalnumbers greater than zero but smaller than one than there are "whole" numbers.


What are two consecutive numbers that equal 5280?

In the entire infinite supply of whole numbers, fractions, and decimals, whether positive or negative, there is only one single number that is equal to 5280. It is . . . . . 5280 .


What are like and unlike fractions?

Like fractions are the fractions which have the same denominator and unlike fractions are the fractions which do not have the same denominator.


Two consecutive numbers are called what?

They are called just that: "consecutive numbers".They are called just that: "consecutive numbers".They are called just that: "consecutive numbers".They are called just that: "consecutive numbers".


What are the differents types of fractions?

the different types of fractions are:-proper fractionimproper fractionmixed fraction


What is consecutive integer?

consecutive integers