Decimals And Fractions

One of the types of numbers that has a whole number and a fractional component separated by a decimal point is a decimal. The decimal point is the dot that appears between the parts of a whole number and a fraction.

Decimals are used in daily life when dealing with distance (35.5 KM), weight (40.25 KG), quantity (4.75 litres), etc. This teaching guide seeks to make the important topic of decimals easier to comprehend by offering interesting teaching resources like animated stories, posters, and engaging worksheets.

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Decimals : Introduction

When something whole is divided into parts, a decimal is obtained.

  • A decimal number is expressed in two parts : the whole number and the fractional part, separated by a dot or decimal.
  • Decimals stand in between 2 values, for example, 5.6 lies between 5 and 6.

Fraction In Decimal Notation

A given fraction can be converted to decimal by the following two methods :

  1. Long Division method.
  2. Converting the denominator to the power of 10.

1. Long Division method

  • Divide the numerator by the denominator.
  • In this case, the denominator (divisor) will be greater than the numerator (dividend).

For example :

2. Converting the denominator into the power of 10

  • In this method, the denominator of the given fraction is converted to the power of 10, like 10, 100, 100, and so on.
  • A suitable number is thought to be one that can be multiplied by both the numerator and denominator so that the denominator comes in the form of a power of 10.

For example : 

Fractions With Denominators 10 Or 100 In Decimal Notation

Fractions with a denominator of 10 or 100 can be expressed in decimals by simply putting a decimal in the numerator according to the number of 0s in the denominator.

For example : 

  • If the denominator has 10, put a decimal after one place in the numerator.
  • If the denominator has 100, put a decimal after two places in the numerator.

Decimals To Fractions Conversions

We are aware that the decimal places indicate tenths, hundredths, thousandths, and so on. When converting from decimal to fraction, decimal numbers should therefore be written down in the expanded form and the values should be simplified. 

For example, 0.25 

The expanded form of 0.25 is 25 x (1/100) = 25/100 = 1/4.

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Teaching decimals with kid-friendly, clear, and easy-to-understand posters from Uncle Math School by Fun2Do Labs :


Ignite kids’ curiosity with engaging stories for role play and skits, making the learning of this concept an exciting and effective experience. Teaching decimals through stories from Uncle Math School by Fun2Do Labs :

Text of Stories


Learning decimals can be made enjoyable by incorporating interactive games and activities.

Find Siblings :

This is a fun activity in which children can easily practise interconversions of decimals and fractions.

  • Design cards for fractions and their decimal counterparts. 
  • Instruct kids to join fractions and their decimal counterparts together while mastering the method of interconversions.


Help your kids practise decimals with interesting and engaging fun worksheets and solutions from Uncle Math by Fun2Do Labs.

Worksheet 695 : Fractions To Decimals Conversion
Solution 695 : Fractions To Decimals Conversion
Worksheet 696 : Converting Decimals Into Fractions
Solution 696 : Converting Decimals Into Fractions

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