# What is the difference between a rational and irrational number?

Numbers that can be expressed in a/b or fraction form are rational numbers where a is an integer and b is a non-zero integer and an irrational number are the numbers that cannot be written in a/b form.

## Answer: Numbers which can be expressed in a/b or fraction form is a rational number, a number which cannot be expressed in a ratio of two numbers is irrational numbers

We will use the definition of the rational number and irrational number to answer this question.

**Explanation:**

A rational number will contain numbers whose decimal expansion is finite or recurring in nature. For example, 1.67 and 3.666... are rational numbers.

These numbers can be represented in a fractional form as p/q, where p and q are integers and q is non-zero.

While all the other sorts of real numbers fall under the irrational number category. For example, 1.616116111... is an irrational number and also includes √2, √3, √5, √7...