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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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How many rational numbers are there between two consecutive rational numbers?
There are infinitely many rational numbers between any two consecutive rational numbers. This is because rational numbers can be expressed as fractions, and between any two fractions, an infinite number of other fractions can be found by taking the average of the two given fractions. Therefore, the set of rational numbers is dense, meaning there is no smallest gap between any two rational numbers.
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.
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 the differents types of fractions?
the different types of fractions are:-proper fractionimproper fractionmixed fraction
What are fractions that have the same denominator called?
Like Fractions
