Q: How do you find the average fraction of a set of fractions?

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Yes. The set of rational numbers is infinitely dense.If p/q and r/s are any two fractions then (p/q + r/s)/2 is a fraction which is between the two.

The same as you would find the average of other numbers. Add all the numbers together, then divide by the size of the set - by the number that indicates how many numbers you have.

Improper

No. For example, the result of 1/6 - 2/6 is not a positive fraction.

Any fraction can go into any other fraction. The concept of "going into" for a limited set of numbers is useful only for integers.

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Yes, every unit fraction is proper fraction because a proper fraction is a fraction in which the numerator is smaller than denominator. So the set of all unit fractions are also proper fractions.

Every fraction has infinitely many equivalent fractions. A representative fraction is one member of this set.

Yes. The set of rational numbers is infinitely dense.If p/q and r/s are any two fractions then (p/q + r/s)/2 is a fraction which is between the two.

The same as you would find the average of other numbers. Add all the numbers together, then divide by the size of the set - by the number that indicates how many numbers you have.

There are infinite fractions between any two whole numbers.

Improper

Dissimilar fractions are not equivalent as for example 1/2 is the same as 2/4 but 3/5 and 2/7 are dissimilar fractions

No. Every fraction has a decimal expression but not every decimal has a fractional (rational) equivalent. There are infinitely many fractions: the cardinality of the set of fractions is Ã€o (Aleph-null). If the set of decimals is considers equivalent to the set of real numbers, then the cardinality of the set is 2Ã€0 !

No. For example, the result of 1/6 - 2/6 is not a positive fraction.

Any fraction can go into any other fraction. The concept of "going into" for a limited set of numbers is useful only for integers.

There are infinitely many. But, thanks to the strange behaviour of infinities, it set of fractions between 0 and 1 has the same cardinality (size) as the set of fractions between 0 and 100, or 0 and 10000000.

There is always an LCD for a set of fractions, even if it's only the product of the denominators.