# Simplifying Fractions

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Learning text on the topic
**Simplifying Fractions**

## Simplifying Fractions

**Simplifying fractions** is a fundamental skill in mathematics. This concept helps in understanding fractions better and preparing you for more advanced mathematical operations involving fractions, such as when adding and subtracting fractions with unlike denominators.

**Fraction simplification** is when we **reduce fractions** into their simplest form.

Let’s learn how to create **simplified fractions**!

## Simplifying Fractions – Rules

Simplifying fractions involves reducing them to their simplest form. This process makes fractions easier to understand and work with. We can refer to these fractions as **simplest form fractions**. Below, you will find the **fraction simplification rules**.

Rule | Description |
---|---|

Identify the GCF | Find the greatest common factor of the numerator and denominator. |

Divide by GCF | Divide both the numerator and the denominator by the GCF. |

Write Simplified Fraction | Write the new values as the simplified fraction. |

Check if Already Simplest Form | If there are no common factors, the fraction is already in its simplest form. |

Definition: Simplifying Fractions is the process of **reducing the numerator and denominator** of a fraction to their **smallest possible values** while keeping the fraction **equivalent to the original**.

## Simplifying Fractions – Example

Let's simplify the fraction $\frac{9}{12}$.

First, list the factors of both the numerator, 9, and the denominator, 12.

The factors of 9 are 1, 3, and 9. The factors of 12 are 1, 2, 3, 4, 6, and 12.

Then find the

**greatest common factor (GCF)**they both share. In this case, it is 3.Divide both the numerator and the denominator by 3.

This means that $\frac{9}{12}$ simplifies to $\frac{3}{4}$.

*Before moving ahead, check your understanding of the learning so far by using the following questions:*

## Simplifying Fractions – Guided Practice

Let’s work through the following question together. Let’s simplify $\frac{16}{24}$.

## Simplifying Fractions – Exercises

Here are some **simplifying fractions practice** questions for you to have a go at yourself. Review the steps in the rules table if you need to!

## Simplifying Fractions – Summary

- Simplifying fractions makes them easier to understand and work with.
- The process involves finding the greatest common factor of the numerator and denominator and dividing both by this number.
- Simplified fractions are equivalent to the original fraction but in their simplest form.

Explore more about fractions and other math concepts through our interactive tools, videos, and printable worksheets to enhance your learning journey!

If you need some extra support with this topic, why not check out the learning text on **Equivalent Fractions**.

If you’re feeling confident and ready for some practicing using you new fraction skills, then check out the learning text on **Comparing Fractions**.

## Frequently Asked Questions – Simplifying Fractions

Even and odd numbers

Divisibility Rules - 3, 6, 9

Divisibility Rules - 7

Divisibility Rules - 4, 5, 8, 10

Prime Numbers

Integers and their Opposites

Least Common Multiples

Adding and Subtracting Rational Numbers on a Number Line

Ordering Rational Numbers

Cube Roots

Rational and Irrational Numbers

Ordered Pairs on the Coordinate Plane

Finding the Greatest Common Factor

Adding and Subtracting Decimals

Comparing Fractions

Equivalent Fractions

Simplifying Fractions

Temperature Conversion

Division with Exponents

Multiplication with Exponents

Improper Fractions and Mixed Numbers