**Math formula** – Having previously discussed about **meaning of whole numbers**, this time I will discuss material that is still struggling with one type of number that is in mathematics lessons, namely fractional numbers. This material will discuss in detail about **Meaning of fractions and examples**. In addition, some clarifications on laws or arithmetic operations related to fractions will also be given. The explanations and references in the material this time I make as simple as possible so that you can understand them quickly and easily. Before we get into the discussion of the material, you should prepare a notebook in advance so that you can record important things that you can get from the discussion below.

**Understanding Fractions**

In short, a fraction can be defined as a number that has both a numerator and a denominator. In this number form, the numerator is read first followed by the denominator. When mentioning a fraction, between the numerator and denominator must be inserted the word “per”. For example for the number 3/5 then we can call it “three fifths” as well as the number 1/4 you can read it “one quarter” or “quarter”.

If there are fractions that have the same value or the value remains the same when the numerator and denominator are multiplied/divided by a number (non-zero), then the fraction is called an equivalent fraction. The concept of equivalent fractions is:

To better understand it, consider the following equivalent fraction references:

### **How to Simplify Fractions**

A fractional number can be simplified by dividing the numerator and denominator by the numbers that are the GCF of the numerator and denominator. For example, the fraction 45/54 can be simplified to 5/6 because the GCF of 45 and 54 is 9.

12/8 = 3/2

20/12 = 5/3

14/8 = 7/4

32/24 = 4/3

### **Addition and Subtraction of Fractions**

#### **Addition of fractions**

To add two fractions, the main requirement for both numbers is that they have the same denominator. For example:

3/5 + 1/5 = 4/5

1/4 + 5/4 = 6/4

2/5 + 7/5 = 9/5

4/7 + 8/7 = 12/7

9/6 + 1/6 = 10/6

5/2 + 6/2 = 11/2

Meanwhile, to add up fractional numbers that have different denominators, then you have to equate the two denominators by looking for the corruption eradication commission from the two numbers that are the denominators. For example:

1/2 + 1/4 = 2/4 + 1/4 = 3/4

2/3 + 3/6 = 4/6 + 3/6 = 7/6

4/3 + 5/6 = 8/6 + 5/6 = 13/6

3/5 + 2/4 = 12/20 + 10/20 = 22/20

2/3 + 3/8 = 16/24 + 9/24 = 25/24

#### **Subtraction of Fractions**

The concept of subtraction in fractions is the same as the concept of addition. Subtraction can be done directly if the denominators are the same. and if the denominators of the two subtracted fractions are different, they must be equated first. for example:

3/2 – 1/2 = 2/2 = 1

5/6 – 4/6 = 1/6

4/3 – 2/3 = 2/3

12/4 – 5/4 = 7/4

25/5 – 9/5 = 16/5

5/7 – 2/3 = 15/21 – 14/21 = 1/21

5/3 – 3/4 = 20/12 – 9/12 = 11/12

4/3 – 5/6= 8/6 – 5/6 = 3/6

### **Multiplication and division of fractions**

#### **Multiplication of fractions**

To multiply two fractions, simply multiply the numerator by the numerator and then the denominator by the denominator, for example:

5/7 x 4/5 = 20/35

2/4 x 3/5 = 6/20

7/2 x 8/6 = 56/12

6/3 x 3/8 = 18/24

#### **Division of fractions**

Fractions can be divided by multiplying the numerator by the denominator alternately. For example:

That’s a simple explanation of the material for discourse mathematics lessons **Meaning of fractions and examples**. I hope you can understand what is meant by fractional numbers and how to perform arithmetic operations using fractions. Keep learning and keep practicing.