What is the difference between rational numbers and fractions ???? Give 5 examples of each and an important property .

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A fraction (from Latin fractus, "broken") represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters. A common, vulgar, or simple fraction (examples: {\displaystyle {frac {1}{2}}} and 17/3) consists of an integer numerator displayed above a line (or before a slash), and a non-zero integer denominator, displayed below (or after) that line. Numerators and denominators are also used in fractions that are not common, including compound fractions, complex fractions, and mixed numerals.

 

In mathematics, the set of all numbers that can be expressed in the form a/b, where a and b are integers and b is not equal to zero, is called the set of “rational numbers ” and is represented by the symbol Q. These rational numbers are also called as “Simple fractions”.

Examples of fractions :- 2/5 , 100/10, 3/0 , 9/1, 6/7


Examples of rational numbers :- 1/2 , 3/4, 1/6, -3/5, -100/9

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