# Is 22/7 a rational or irrational number?

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. Both rational and irrational numbers are real numbers, but they have different characteristics. A rational number is one that can be written as p⁄q, where p and q are integers and q is not equal to zero. However, an irrational number cannot be expressed using simple fractions. √2 is an irrational number, whereas 2⁄3 is an example of a rational number.

**What are Rational Numbers?**

Numbers that may be represented as a fraction, as well as positive, negative, and zero, are known as rational numbers. It may be expressed as p/q, where q is not zero. The term “rational” comes from the word “ratio,” which refers to a comparison of two or more values or integer numbers, and is also known as a fraction. It is the ratio of two numbers in simple terms. All whole numbers, natural numbers, fractions of integers, integers, and terminating decimals are rational numbers.

**Examples of Rational Numbers**

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. The number “0” is also rational since it may be represented in a variety of ways, including 0/1, 0/2, 0/3, and so on.

**What are Irrational Numbers?**

Irrational numbers are any numbers that are not rational numbers. Irrational numbers may be represented in decimals but not fractions, which implies they can’t be stated as a ratio of two integers. After the decimal point, irrational numbers have an infinite amount of non-repeating digits.

**Examples of Irrational Numbers**

√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. 1/0, 2/0, 3/0, and so on are irrational because they give us unlimited values.

### Is 22/7 a rational or irrational 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, 22⁄7 is a fraction of two integers and has recurring decimal value (3.142857). Hence, it is a rational number.

### Similar Questions

**Problem 1: Determine whether √3 is a rational number.**

**Solution:**

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 cannot be expressed in the form of p/q. Hence, it is an irrational number.

**Problem 2: Determine whether 1.232323…. is a rational number.**

**Solution:**

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, 1.232323… has recurring digits. Hence, 1.232323…. is a rational number.

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