# Simplest Form Fractions Definition

When a fraction **can’t be simplified further**, it will be termed as the **simplest form** of that fraction. It means all those fractions are called **simplest-form fractions** when their **numerators **and **denominators** can’t be **divided** by a **single **divisor.

**Note:**

Read about a Fraction, Numerator, **Divisor**, and Denominator here.

**For example**, In **13/71** is the simplest form of a fraction because they are not divisible by the same number.

**Table of Contents**

## Examples of simplest-form fractions

Original Fraction |
Simplest Form of a Fraction |

22/44 | 1/2 |

3/9 | 1/3 |

24/9 | 8/3 |

13/65 | 1/5 |

### How to find the simplest form of a fraction?

Converting a given fraction into its simplest form is not a difficult task. You can follow two different methods to find the simplest form fractions. Here are those methods with brief guidance on how to do this.

### Through simple division

When you have got a fraction, you can find its simplest form just with a **simple division**. You need to follow the upcoming steps for this task.

- Write the original fraction
- Find the
**HCF**of the**numerator**and**denominator** **Divide**both (numerator & denominator) with**HCF**- The
**resultant**fraction will be the**simplest form**of the original fraction

**Note:**

Read about **HCF** here in detail.

**Example 1:**

Find the simplest form of 34/16.

**Solution:**

According to the above steps, we have to find the HCF of 36 and 16. For this, we have to find the common factors of both numbers. Let’s do it!

Factors of 34 = 2 x 17

Factors of 16 = 2 x 2 x 2 x 2

As we can see,

Common Factor = 2

So, we have to divide the numerator and denominator by “2”. After dividing, we get:

= 17/8

This is the simplest form of the fraction that we have found using HCF.

**Note:**

You can read about **Common Factors** here.

### Using Ratio

In Mathematics, a **fraction** can be **converted** into a **Ratio**. To do this, you only have to write the **numerator** first and the **denominator** after the Ratio marks. Here are the steps to follow for converting a fraction into the simplest form through this method.

**Note:**

Read about Current Ratio here in detail.

- Convert the fraction into a
**Ratio format** - Start dividing using the
**smallest prime factor** - Keep dividing until you have found the
**numbers**that are**not divisible**with the**same**divisor - Convert that
**ratio**into a**fraction**again by**reversing**the above conversion/li> - You have got the
**simplest form**of the fraction

**Note:**

You can read about **Prime Factor** here.

**Example 2:**

Find the Simplest form fraction of 28/44.

**Solution:**

Let’s convert this fraction into the Ratio format first.

28 : 44

These numbers can be divided by “2” because both are Even Numbers.

14 : 22

Again, these can be divided into “2”.

7 : 11

As both numbers are Prime Numbers, they can’t be divided further. Let’s convert them into a fraction again for getting the simplest form fraction.

= 7/11

**Note:**

You can read about Even and Prime Numbers here.

By following these methods, you can find the simplest form fractions of any **complex fraction**. It will help you in solving different **Mathematical problems** from a simple approach.

### How to convert a decimal into the simplest fraction?

A **decimal** can also be converted into the **simplest fraction**. First of all, you need to write the decimal in the fraction format. To do so, you need to write the number in the numerator and put **“1”** in the **denominator** just below the **Decimal** point.

**Count** the numbers on the **right side** of the **decimal** and put equal numbers of **“0s”** just on the **right side** of the **“1”** in the **denominator**. Now, you have **converted** the **decimal** into a **fraction**. Here is how you can convert it into the simplest form fraction.

- Find the
**HCF**of the numerator and denominator **Divide**both with that number- The resultant fraction will be the
**simplest fraction**of the given decimal

**Example 3:**

Find the simplest fraction of 0.44.

**Solution:**

First, we have to convert it into a fraction.

= 44/100

The HCF of 44 and 100 is “4”. By dividing them with 4, we get the following fraction.

= 11/10

This is the simplest fraction of 0.44 because these numbers can’t be divided with the same number.

### FAQ's

**How to find the simplest form of 90/25?**

To find the simplest form fraction of 90/25, we need to find its HCF. The HCF is “5” and the simplest form of this fraction is 18/5.

**Is 11/121 the simplest fraction?**

The simplest fraction of 11/121 is 1/11.

**Why these fractions are called simplest?**

This type of fraction is called the simplest form fractions because they can’t be simplified further.

**Can we find the simplest form of a fraction using LCM?**

No, we can find the simplest form fractions using LCM. We need to find the HCF of the numerator and denominator to get the simplest fraction.