Why is the concept of $\frac{p}{q}$ important in rational numbers?

The term rational in reference to the set Q (of rational numbers) refers to the fact that a rational number represents a ratio of two integers. This is by definition that we take all those numbers of the form $\frac{p}{q}$(a ratio) where p and q are integers and q is not zero, to be rational numbers. And those numbers that cannot be expressed in p/q form are called irrational numbers.

Clearly $\frac{p}{q}$ form is important because it shows rational numbers represent ratios of two integers.

Eg: Of rational numbers $\frac{2}{3}$ ,$\frac{6}{7}$, $\frac{112}{67}$ and so on

Rational numbers are also terminating and non-terminating repeating decimals.


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