Fraction in Simplest Form ( Simplify Fractions ) – A Fraction is said to be in simplest form when the** numerator** and **denominator** of a fraction has **only common factor **i.e, **1**

In other words, To simplify a fraction in simplest form we **divide** the** numerator** and **denominator** of a fraction **by their H.C.F** ( Highest Common Factor ).

## Fraction in Simplest Form Examples

**Example 1**

Convert into its Simplest Form?

**Explanation :**

Finding HCF of **15** and **45**.

Factors of 15 are **3**, **5**

Factors of 45 are **5**, **3**, 3

HCF of **15** and **45** = 3 x 5 = **15**

Divide Numerator and Denominator by their HCF i.e, **15**

Hence, is the simplest form of

**Example 2**

Convert into its simplest form.

**Explanation:**

Given Fraction:

In order to convert a fraction, into its simplest form, we first find the HCF of the Numerator and Denominator

HCF of 70 and 30 is 10

Thereafter, we divide both the Numerator and Denominator by their HCF i.e, 10

=

Hence, is the simplest form of

**Example 3**

Convert into its simplest form.

**Explanation:**

Given Fraction:

In order to convert a fraction, into its simplest form, we first find the HCF of the Numerator and Denominator

HCF of 24 and 54 is 6

Thereafter, we divide both the Numerator and Denominator by their HCF i.e, 6

=

Hence, is the simplest form of

**Example 4**

Convert into its simplest form.

**Explanation:**

Given Fraction:

In order to convert a fraction, into its simplest form, we first find the HCF of the Numerator and Denominator

HCF of 16 and 12 is 4

Thereafter, we divide both the Numerator and Denominator by their HCF i.e, 4

=

Hence, is the simplest form of

**Example 5**

Convert into its simplest form.

**Explanation:**

Given Fraction:

In order to convert a fraction, into its simplest form, we first find the HCF of the Numerator and Denominator

HCF of 18 and 32 is 2

Thereafter, we divide both the Numerator and Denominator by their HCF i.e, 2

=

Hence, is the simplest form of

### Learn More..

**Proper Fraction | Improper Fraction | Mixed Fraction****Like Fractions & Unlike Fractions****Unit Fraction****Finding Fraction of a Whole Number****Comparing Fractions****What is an Equivalent Fraction****Finding Equivalent Fraction with given Denominator****Finding Equivalent Fraction with given Numerator****Convert Mixed Fraction to Improper Fraction****Convert Improper Fraction to Mixed Fraction****Addition of Like Fractions and Unlike Fractions****Subtraction of Like Fractions or Unlike Fractions**