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.
To find the median of a set of fractions, first arrange the fractions in either ascending or descending order. If the number of fractions is odd, the median is the middle fraction. If the number of fractions is even, the median is the average of the two middle fractions. Make sure to simplify the fraction if necessary.
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
The subsets of a fraction refer to the individual components that make up the fraction. For example, the subsets of the fraction 3/4 would be the numerator (3) and the denominator (4). In set theory, a subset is a set that contains elements of another set, so in the context of fractions, the subsets are the parts that form the fraction.
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 Ào (Aleph-null). If the set of decimals is considers equivalent to the set of real numbers, then the cardinality of the set is 2À0 !
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.