There is a massive difference between a fraction and a rational number. The concept of “fractional number” and “rational numbers” are closely related but are different in various aspects. It should be noted that **“a fractional number is always a rational number but a rational number may or may not be a fractional number”**.

## Definition of Fraction and Rational Numbers

A fraction is any number of the form a/b where both “a” and “b” are **whole numbers** and bâ‰ 0. On the other hand, a rational number is a number which is in the form of p/q where both “p” and “q” are **integers** and qâ‰ 0.

Thus, a fraction is written in the form of m/n, where n is not 0 and m & n are whole (or natural numbers). For example, 12/23, 10/32, 12/10, 4/21. A rational number can also be written in the form of a/b, where b is not 0 and a & b are integers. For example, 15/7, -18/13, 3/-7, -6/-12.

## What is the Difference Between Fraction and Rational Number?

S.No. |
Fraction |
Rational Numbers |

1. | Written in the form of a/b, where a and b are whole numbers, and bâ‰ 0 | Written in the form of p/q, where p and q are integers, and qâ‰ 0 |

2.Â | All fractional numbers are rational | All rational numbers are not fractions. |

3.Â | â…“, Â¼, â…›, etc. | 11/2, 3/-4, etc. |

4 | Note: Both are real numbers |

### Why Every Fraction is a Rational Number but not Vice Versa?

All fractions can be termed as rational numbers; however, all rational numbers cannot be termed as fractions. Only those rational numbers in which â€˜pâ€™ and â€˜qâ€™ are positive integers are termed as fractions. Let a/b be any fraction. Now, a and b are natural numbers. Since all natural numbers are also integers, a and b are also integers. Thus, the fraction a/b is the quotient of 2 integers such that b â‰ 0. Hence, a/b is a rational number. One of the examples in which a number is a rational number but not a fraction is:

- Consider the fraction 12/-32. It is a rational number but not a fraction because its denominator (n) is not a natural number.

### Learn More:

Difference Between Percentage And Percentile | Difference Between Natural And Whole Numbers |

Difference Between Relation And Function | Difference Between Rational And Irrational Numbers |

## Frequently Asked Questions â€“ FAQs

### Is fraction also a rational number?

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

A rational number is also expressed in the form of a ratio, p/q, where numerator and denominator are integers and qâ‰ 0.

### What are the examples of rational numbers and fraction?

The examples of fractions are 1/2, 1/8, 6/4, etc.

Sir, is 0 a fraction or not

Yes, 0 is a fraction, because we can write 0 in the form of p/q (where q is not equal to 0).

Yes, 0 can be represented as a fraction.

For ex: 0/10

Structure of a fractional number:a/b, where ‘a’ and ‘b’ represents a variable in whole number. And ‘b’ is not equal to 0.

Fraction is a number in the form of p/q where ‘p’ and ‘q’ are positive integers and q != 0

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