Subscribe to our YouTube channel for the latest videos, updates, and tips.


Properties of Equivalent Fractions

The properties of equivalent fractions are discussed here step-by-step.


1. If the numerator and denominator of a fraction is multiplied by the same number, except zero, the value of the fraction remains the same and an equivalent fraction is obtained. 

As:

(i) 2/3 = 2 x 2/3 x 2 = 4/6; 2 x 3/3 x 3 = 6/9; 2 x 4/3 x 4 = 8/12;

2 x 5/3 x 5 = 10/15

So, 2/3, 4/6, 6/9, 8/12, 10/15, etc., are equivalent fractions.


(ii) 5/6 = 5 x 3/6 x 3 = 15/18; 5 x 7/6 x 7 = 35/42; 5 x 4/6 x 4 = 20/24;

5 x 9/6 x 9 = 45/54

So, 5/6, 15/18, 35/42, 20/24, 45/54, etc., are equivalent fractions.

2. If the numerator and denominator of a fraction is divided by the same number, except zero, the value of the fraction remains the same and an equivalent fraction is obtained. 

(i) 60/90 = 60 ÷ 10/90 ÷ 10 = 6/9; 60 ÷ 2/90 ÷ 2 = 30/45;

60 ÷ 3/90 ÷ 3 = 20/30, 60 ÷ 5/90 ÷ 5 = 12/18

So, 60/90, 6/9, 30/45, 20/30, 2/3 etc., are equivalent fractions.

32/72 = 32 ÷ 2/72 ÷ 2 = 16/36, 32 ÷ 4/72 ÷ 4 = 8/18, 32 ÷ 8/72 ÷ 8 = 4/9

So, 32/72, 16/36, 8/18, 4/9 are equivalent fractions.



3. In case of two equivalent fractions, the product of the numerator of one fraction and denominator of the second fraction is equal to the product of the denominator of the first fraction and numerator of the second fraction.

Accordingly, the two fractions are equivalent if:

numerator of the first fraction × denominator of the second fraction = denominator of the first fraction × numerator of the second fraction

As:

1/3 = 2/6

5/7 = 15/21

So, 1 x 6 = 3 x 2 = 6

So, 5 x 21 = 7 x 15 = 105


4. A fraction may be reduced to its lowest term. If a factor or factors is / are common to numerator and denominator of a fraction, then the common factor or factors may be removed to get it in its lowest term.

If there is a fraction 12/18 and we have to reduce it to its lowest term,

Since, 12 = 2 x 2 x 3 and 18 = 2 x 3 x 3, thus, 2 x 3 = 6 is a common factor in numerator and denominator of 12/18

So, 12 ÷ 6/18 ÷ 6 = 2/3

By dividing both 12 and 18 by 6, we get the fraction 2/3 as the lowest of 12/18.


These are the properties of equivalent fractions explained along with the examples.

Related Concept

Fraction of a Whole Numbers

Representation of a Fraction

Equivalent Fractions

Properties of Equivalent Fractions

Like and Unlike Fractions

Comparison of Like Fractions

Comparison of Fractions having the same Numerator

Types of Fractions

Changing Fractions

Conversion of Fractions into Fractions having Same Denominator

Conversion of a Fraction into its Smallest and Simplest Form

Addition of Fractions having the Same Denominator

Subtraction of Fractions having the Same Denominator

Addition and Subtraction of Fractions on the Fraction Number Line







4th Grade Math Activities

From Properties of Equivalent Fractions to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

  1. Worksheet on Simple Interest | Word problem on Simple Interest | Free

    Jun 19, 25 02:54 AM

    Worksheet on Simple Interest 2
    In worksheet on simple interest we will get different types of question on calculating the simple interest, the principal amount, the rate of interest and the word problems on simple interest.

    Read More

  2. Terms Related to Simple Interest | Simple Interest Formula | Principal

    Jun 19, 25 12:20 AM

    Terms Related to Simple Interest
    In terms related to simple interest we will learn all the terms related to simple interest. The terms related to simple interest are Interest, Principal, Amount, Simple Interest, Time or period of tim…

    Read More

  3. Introduction to Simple Interest | Definition | Formula | Examples

    Jun 18, 25 01:50 AM

    Simple Interest
    In simple interest we will learn and identify about the terms like Principal, Time, Rate, Amount, etc. PRINCIPAL (P): The money you deposit or put in the bank is called the PRINCIPAL.

    Read More

  4. 5th Grade Profit and Loss Percentage Worksheet | Profit and Loss | Ans

    Jun 18, 25 01:33 AM

    5th Grade Profit and Loss Percentage Worksheet
    In 5th grade profit and loss percentage worksheet you will get different types of problems on finding the profit or loss percentage when cost price and selling price are given, finding the selling pri…

    Read More

  5. Worksheet on Profit and Loss | Word Problem on Profit and Loss | Math

    Jun 18, 25 01:29 AM

    Worksheet on Profit and Loss
    In worksheet on profit and loss, we can see below there are some different types of questions which we can practice in our homework.

    Read More