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Equivalent fractions

What are Equivalent fractions?

Equivalent fractions are the fraction that look different but have same value.

Let’s see how?  Each fraction represents same number.


so, 2/5 = 6/15 

Ways to find whether fractions are equivalent or not:-

If product of numerator of the first fraction and denominator of second fraction is equal to product of numerator of the second fraction and denominator of first fraction, the two fractions are called equivalent.

Example: 

Product 1: 5 x 3 = 15

Product 2: 1 x 15 = 15

The two products are equal. So, 5/15 and 1/3 are equivalent fractions.

Ways to build equivalent fractions:-

Method 1: Multiply numerator and denominator of the given fraction by common number but not by zero.

Example 1:
Example 2 :




Method 2: Divide numerator and denominator of the given fraction by common number but not by zero.
 Example 1 : 

 

Example 2: 

 Note:

1. In order to find equivalent fraction of a higher numerator or denominator, multiply the numerator and denominator of the given fraction by same number except by zero.

2. In order to find equivalent fraction of a lower numerator or denominator, divide the numerator and denominator of the given fraction by same number except by zero.

Practice Exercise

Q1. Write the next 3 equivalent fraction of the below numbers.

a. 1/3 ________________________________________

b. 2/5 ________________________________________

c. 1/2 ________________________________________

d. 2/7 ________________________________________

e. 3/4 ________________________________________ 


Q2. Are these fractions equivalent?

a. 3/5 and 9/15 _______________________________

b. 1/2 and 4/5 _______________________________

c. 5/6 and 20/24 _______________________________

d. 6/9 and 7/9 _______________________________

e. 2/3 and 14/21 ______________________________

Q3. Fill in the blanks with missing numerator or denominator in the following equivalent fractions.

a. 2/4 = 12/___

b. ___ /7 = 2/21

c. 3/5 = 12/ ___

d. 24/32 = 3/___

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