Difference Between Fraction and Rational Number

A fraction is written in the form of m/n , where n is not 0 and m & n are natural numbers. For example: 12/23, 10/32, 12/10, 4/21. A rational number can also be written in the form of m/n , where n is not 0 and m & n are integers. For example: 15/7, -18/13, 3/-7, -6/-12. All Fractions can be termed as Rational Numbers, however, all Rational Numbers cannot be termed as Fractions. Only those Rational Numbers in which ‘m’ and ‘n’ are positive integers are termed as Fractions.

Let, m/n be any fraction. Then, m and n are natural numbers. Since, all natural numbers are also integers. Therefore, m and n are integers. Thus, the fraction m/n is the quotient of 2 integers such that m ≠ 0. Hence, m/n is a rational number. We know 12/-32 is a rational number but not a fraction because its denominator (n) is not a natural number.


Practise This Question

What is the number of houses represented by the figure if each symbol represents 15 houses?