Need Help?

Get in touch with us


Relation Between Fraction, Decimal and Percent with Examples

Grade 6
Sep 12, 2022


Relation between fraction, decimal and percent: 

Since a percent is a ratio that can be written as a fraction, and a fraction can be written as a decimal. This means any of these forms can be converted to any of the others. 

To Convert a Fraction: 

To a decimal: Divide the numerator by the denominator. 

To a percent: Convert the fraction first to a decimal, then move the decimal point 2 places to the right and add the % symbol. 

To Convert a Decimal: 

To a fraction: Read the decimal and reduce the resulting fraction. 

To a percent: Move the decimal point 2 places to the right and add the % symbol. 


To Convert a Percent 

To a decimal: Move the decimal point 2 places to the left and drop the % symbol. 

To a fraction: Drop the % sign and write the number “over” 100. Reduce, if possible. 

Let’s understand the above conversion by examples 

Example3 Convert ¾ in decimal form. 

Example4 Convert 3/8 in decimal form.  


Observe the images given below and find the similarity. 


Here in the above picture shaded block can be represented in three ways: 

  1. Fraction – 30/100 or 3/10 
  1. Decimal – 0.3 = 0.30 
  1. Percent – 30%   


Here all three jugs represent the half quantity of liquid of whole you can write them in any of the way like: 

  1. 50% 
  1. ½ 
  1. 0.5   

Fraction into Percent: 

Example1 Convert 60/100 as a percent: 

Example2 Observe the image and convert the fraction in the percent. 

More Word Problems: Understand Percent 

Question1: – Teddy spend 3/8 of his homework time doing Math problems. Write 3/8 as a decimal and as a percent.  


=  0. 375 

Therefore, 3/8 = 0.375 

Use the decimal to find the equivalent rate: 

 0.375 =  


Question2: – Convert


to a decimal and a percent.  

Solution: Write the mixed fraction as 1 +



= 1 + 0.875 

= 1.875  


1.875 = (1.875 × 100)% 

            = 187.5% 

Note: To convert the decimal number into percent 

we can directly multiply it with 100 and follow it with a 

a % sign. 

Concept Map: 

In each diagram, the same area is shaded 

But it’s not easy to see that the Fraction, the Decimal and the Percentage all have the same value, because the Fraction and the Decimal have been simplified


Related topics

Addition and Multiplication Using Counters and Bar-Diagrams

Addition and Multiplication Using Counters & Bar-Diagrams

Introduction: We can find the solution to the word problem by solving it. Here, in this topic, we can use 3 methods to find the solution. 1. Add using counters 2. Use factors to get the product 3. Write equations to find the unknown. Addition Equation: 8+8+8 =? Multiplication equation: 3×8=? Example 1: Andrew has […]


Dilation: Definitions, Characteristics, and Similarities

Understanding Dilation A dilation is a transformation that produces an image that is of the same shape and different sizes. Dilation that creates a larger image is called enlargement. Describing Dilation Dilation of Scale Factor 2 The following figure undergoes a dilation with a scale factor of 2 giving an image A’ (2, 4), B’ […]

Numerical Expressions

How to Write and Interpret Numerical Expressions?

Write numerical expressions What is the Meaning of Numerical Expression? A numerical expression is a combination of numbers and integers using basic operations such as addition, subtraction, multiplication, or division. The word PEMDAS stands for: P → Parentheses E → Exponents M → Multiplication D → Division  A → Addition S → Subtraction         Some examples […]

System of linear inequalities

System of Linear Inequalities and Equations

Introduction: Systems of Linear Inequalities: A system of linear inequalities is a set of two or more linear inequalities in the same variables. The following example illustrates this, y < x + 2…………..Inequality 1 y ≥ 2x − 1…………Inequality 2 Solution of a System of Linear Inequalities: A solution of a system of linear inequalities […]


Other topics