# BASICS OF FRACTIONS

Fractions are a fundamental part of mathematics, and several rules govern their operations. Here are the basic rules for Addition, Subtraction, Multiplication, and Division with fractions.

MATH TOPICS

5/30/20243 min read

__Fractions,__ referred to as** **"a part of", are a fundamental part of mathematics. They allow us to represent numbers that are not whole, facilitating a deeper understanding of quantities and relationships. In Sydney, students are engaging in the fascinating world of fractions, a fundamental concept in arithmetic. **A fraction represents a part of a whole and can be expressed in two primary forms: in-line notation as a/b. In these expressions, 'a' is referred to as the numerator, while 'b' is the denominator. **

__Fractions,__

##### Whether it's through simple tasks, like sharing a pizza or measuring ingredients in cooking, fractions help us to grasp the concept of division and proportionality. In more advanced applications, fractions are essential in algebra, geometry, and even calculus, where they are used to solve complex equations and analyze functions. Mastering fractions is crucial for anyone looking to develop strong mathematical skills, as they serve as the building blocks for more advanced topics. Understanding fractions not only enhances our problem-solving abilities but also equips us with the tools needed to navigate everyday situations that involve division and sharing.

**1. Simplifying Fractions**

#### The GCD [Greatest Common Divisor] is the largest number that can evenly divide the numerator and denominator. When we divide the numerator and the denominator by the GCD, the fraction is reduced to its simplest form, making it easier to understand and work with.

In the following example, the GCD for the fraction 8/12 is 4. By dividing the numerator and the denominator by the GCD, we get the result 2/3.