Difference between Fraction and Rational Number

Can a fraction have a negative denominator?

No, a fraction cannot have a negative denominator. However, the entire fraction can be negative if the numerator is negative.

Are all integers rational numbers?

Yes, all integers are rational numbers because they can be expressed as fractions with a denominator of 1.

Is zero a rational number?

Yes, zero is a rational number because it can be expressed as 0/1, where the numerator is zero and the denominator is any non-zero integer.

What is the difference between a fraction and an irrational number?

  • Fractions are subset of rational numbers that include numbers like, 1/2, 3/4. etc.
  • Irrational Numbers are different from rational number and they are not represented in form of fractions they include numbers such as, √2, √3, π, etc.


Difference Between Fraction And Rational Number

Fractions and rational numbers are fundamental concepts in mathematics, often used interchangeably. However, subtle differences between the two are crucial to understand.

This article has covered definitions of Fractions and Rational Numbers and their differences in detail.

Similar Reads

What is a Fraction?

Fractions are defined as part of the whole. It consists of two numbers separated by a line. The number above the line is called the numerator, and the number below the line is called the denominator....

What is a Rational Number?

Rational Numbers are numbers written in terms of the ratio of two integers, where the denominator is not zero. Rational numbers are real numbers that can be written in the form of p/q, where q ≠ 0....

Difference between Fraction and Rational Number

Difference between fractions and rational number are added in the table below:...

Similarities between Fraction and Rational Number

While fractions and rational numbers have distinct definitions, they share several similarities:...

Is every Fraction a Rational Number?

Yes, every fraction is indeed a rational number! This is because the definition of a rational number includes any number that can be expressed as a fraction of two integers, where the denominator is not zero. Since a fraction fits this definition perfectly (it’s literally written as a fraction of two integers), it is always considered a rational number....

Is every Rational Number a Fraction?

Not necessarily. While every fraction is a rational number, not every rational number is a fraction. Rational numbers include integers and non-integer values that can be expressed as the quotient of two integers. Integers, for example, are rational numbers but are not typically written in fraction form....

Practice Questions on Fractions and Rational Numbers

Q1. Determine whether the following numbers are fractions, rational numbers, or both:...

FAQs on Difference between Fraction and Rational Number

Can a fraction have a negative denominator?...