In Mathematics, a **fraction** defined as the part of the whole thing. For example, a pizza is divided into four equal pieces, then each piece is represented by ¼. Fractions help to distribute and judge the numbers easily and make the calculation faster. Instead of using decimal values, the representation of fractions looks simpler.

## Definition of fraction in Maths

In Maths, a fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole. 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.

For example, 5/10 is a fraction.

Here, 5 is a numerator and 10 is a denominator.

### Real Life Examples

In real life, we will many examples of fractions, such as:

- If a pizza is divided into two equal parts, then each part is equal to half of the whole pizza
- If we divide a slice of watermelon into three equal parts then each part is equal 1/3rd of the whole

## Types of Fractions

There are four different types of fractions. They are:

**Unit Fraction**– In a fraction, the numerator with 1 is called a unit fraction. For example, ½, ¼**Proper Fraction**– If a numerator value is less than the denominator value, it is called a proper fraction. Example: 7/9, 8/10**Improper Fraction**– If a numerator value is greater than the denominator value, then it is called an improper fraction. Example: 6/5, 11/10**Mixed Fraction**– If a fraction consists of a whole number with a proper fraction, it is called a mixed fraction. Example 5 ¾, 10 ½

### Other Types

**Like Fractions**– The fractions with the same denominator are called like fractions.

Example: 4/2, 7/2, 9/2

Here, the denominators of all the fractions are 2. Hence, they are called like fractions.

**Unlike Fractions**– The fractions with different denominators are called, unlike fractions.

Example: 5/2, 4/6, 9/4

Here, the denominator values are different in all the fractions. Hence, they are called, unlike fractions.

**Equivalent Fractions**– If two fractions result in same value, after simplification, then they are equivalent to each other.

Example: ⅔ and 4/6 are equivalent fractions, since 4/6 = (2×2)/(2×3) = 2/3

### Fraction Examples

**Question:**

Determine the type of fractions given below:

(a) 5 ⅓

(b) 4/6, 8/6, 9/6

**Solution:**

(a) 5 ⅓ – The given fraction is a mixed fraction. Because it is a combination of both whole number and a proper fraction.

(b) 4/6, 8/6, 9/6 – The given fractions are like fractions. Because the denominators of all the fractions are the same, i.e. 6.

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## Frequently Asked Questions – FAQs

### What is a fraction in Mathematics?

### What are the three types of fractions?

### What is the definition of proper fractions? Give examples.

### What is the definition of improper fractions? Give examples.

Examples are: 3/2, 5/2, 7/3, 9/5, etc.