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Home >> Fractions >> Difference & Similarity between Fraction and Rational Numbers >>

Difference & Similarity between Fraction and Rational Numbers

Types of Fractions Lowest Form of Fraction Conversion of Fraction Addition of Fractions Subtraction of Fractions
Multiplication of Fractions Properties of Division Division of Fraction Comparision of Fraction Reciprocal of a Fraction
Fraction in diagrammatic form Difference & Similarity between Fraction and Rational Numbers

A fraction or fractional number is written in the form of p/q , where both p & q are natural numbers and q is not equal to zero
Few examples of fraction are 2/3, 100/342, 2/100, 41/11

A rational number is also written in the form of p/q , where both p & q are integers and q is not equal to zero
Few examples of rational numbers are 5/7, -8/13, 23/-7, -46/-11

Following table shows difference and similarities of Fraction Number and Rational Number:

Fractional Number Rational Number
Written in the form of p/q Written in the form of p/q
p and q are natural numbers p and q are integers
q is not equal to Zero q is not equal to zero
All Fractions can be referred to Rational Numbers also All Rational Numbers cannot be referred as Fractions. Only Rational Numbers where p/q have positive integer, can be referred to as Fraction
Example: 1/2, 25/5, 9/7, 123/100 Example: -1/2, 5/-8, -23/-27, 100/-23


Hence, you can observe the similarities between a fraction and rational number. The highlighted part is the difference between a fraction and rational number

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