**A fraction has two parts, namely numerator and denominator. The number on the top is called the numerator, and the number on the bottom is called the denominator.** The numerator defines the number of equal parts taken, whereas the denominator defines the total number of equal parts in a whole.

In Mathematics, a fraction defined as number expressed as a quotient, in which a numerator is divided by a denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator.

The first and most common form of representing a fraction is in the form ab. Here, a is called the numerator and b is called the denominator. Both the numerator and denominator are separated by a line.

In a proper fraction, the numerator is less than the denominator. If the numerator is greater, it is called an improper fraction and can also be written as a mixed number—a whole-number quotient with a proper-fraction remainder.

Any fraction can be written in decimal form by carrying out the division of the numerator by the denominator. The result may end at some point, or one or more digits may repeat without end.

## Parts of a Fraction

A fraction has two parts, namely numerator and denominator. The number on the top is called the numerator, and the number on the bottom is called the denominator. The numerator defines the number of equal parts taken, whereas the denominator defines the total number of equal parts in a whole.

All fractions consist of a numerator and a denominator and they are separated by a horizontal bar known as the fractional bar.

- The
**denominator**indicates the number of parts in which the whole has been divided into. It is placed in the lower part of the fraction below the fractional bar. - The
**numerator**indicates how many sections of the fraction are represented or selected. It is placed in the upper part of the fraction above the fractional bar.

## Let’s See by Examples

**Example:** We can understand the fraction 1/4 as follows.

Numerator: 1

Denominator: 4

The fraction represents three parts when a whole is divided into four equal parts.

*Decimal Representation:*

In this format, the fraction is represented as a decimal number.

**Example:** The fraction 1/4 can be shown as a decimal by dividing the numerator (1) by the denominator (4).

1/4 = 0.25.

Thus, in decimal representation, 1/4 is written as 0.75.

*Percentage Representation:*

In this representation, a fraction is multiplied by 100 to convert it into a percentage.

**Example:** If we want to represent as a percentage, we should multiply 1/4 by 100.

¼ x 100 = 0.25 x 100 = 25. Thus, we can represent 1/4 as 25%.