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Is 2/3 a rational number?

  • Last Updated : 17 Aug, 2021

In mathematics, there are several different types of numbers; these are whole numbers, natural numbers, real numbers, integers, complex numbers, rational numbers, and irrational numbers. Do you know where the term “rational” came from? It gets its name from the word “ratio.” As a result, rational numbers are closely linked to the idea of ratio. Rational numbers are one of the most prevalent types of numbers that we learn in math after integers.

What are Rational Numbers?

Rational numbers are of the form p/q, where p and q are integers and q ≠ 0. Because of the underlying structure of numbers, p/q form, most individuals find it difficult to distinguish between fractions and rational numbers. When a rational number is divided, the output is in decimal form, which can be either ending or repeating. 3, 4, 5, and so on are some examples of rational numbers as they can be expressed in fraction form as 3/1, 4/1, and 5/1.

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What are Irrational Numbers?

Real numbers that cannot be expressed as a simple fraction are known as irrational numbers. It can’t be represented as a ratio like p/q, where p and q are both integers. It’s an inconsistency of rational numbers. After the decimal point, irrational numbers have an infinite amount of non-repeating digits. √2, √3, √5, and so on are some examples of irrational numbers as they cannot be expressed in form of p/q. Euler’s Number, Golden Ratio, π, and so on are also some examples of irrational numbers. 



Is 2/3 a rational number?

Solution:

Rational numbers are one of the most prevalent types of numbers that we learn in math after integers. A rational number is a sort of real number that has the form p/q where q≠0. All whole numbers, natural numbers, fractions of integers, integers, and terminating decimals are rational numbers.

When a rational number is split, the result is a decimal number, which can be either a terminating or a recurring decimal. All rational numbers can be expressed as a fraction whose denominator is non-zero. Here, the given number, 2 ⁄ 3 is a fraction of two integers and has recurring decimal value (0.666666). Hence, it is a rational number.

Similar Questions

Question 1: Is π a rational or an irrational number?

Answer:

A rational number is a sort of real number that has the form p/q where q≠0. When a rational number is split, the result is a decimal number, which can be either a terminating or a recurring decimal. Here, the given number, Pi (π) is an irrational number because it is non-terminating. The value of π is 3.14159 26535 89793 23846 264…

Question 2: Is 1⁄3 a rational or an irrational number?

Answer:



A rational number is a sort of real number that has the form p/q where q≠0. When a rational number is split, the result is a decimal number, which can be either a terminating or a recurring decimal. Here, the given number, 1⁄3 is a fraction and has recurring digits. Hence, it is a rational number.

Question 3: Is 3⁄4 a rational or an irrational number?

Answer:

A rational number is a sort of real number that has the form p/q where q≠0. When a rational number is split, the result is a decimal number, which can be either a terminating or a recurring decimal. Here, the given number, 3⁄4 is a fraction and has terminating digits. Hence, it is a rational number.

Question 4: Is 9/7 a rational or an irrational number?

Answer:

A rational number is a sort of real number that has the form p/q where q≠0. When a rational number is split, the result is a decimal number, which can be either a terminating or a recurring decimal. Here, the given number, 9⁄7 is a fraction and has recurring digits. Hence, it is a rational number.

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