Equivalent Fractions in Grade III

We are going to study about equivalent fractions in this topic but before you have knowledge of how to do fractions and what is a equivalent fraction?. Recall that fractions are expressed in form of p/q where p and q are positive integers. Numerator is the upper number (i.e. p) and the denominator is the lower number (i.e. q).
 When we write 4/ 5, here 4 is the numerator of the fraction and 5 is the denominator of the fraction.
Let’s see what all are equivalent fractions. Any pair of fractions when converted into lowest terms gives the same result are called two equivalent fractions.
 Let us take 12/24 and 4/8
In 12 and 24, we have 12 as HCF so dividing both numerator and denominator of 12/24 by 12 we get
= (12 ÷ 12 ) / (24 ÷ 12 )
= 1/2
Similarly we observe that in 4/8, HCF of 4 and 8 is 4, so dividing both numerator and the denominator of 4/8 by 4 we get
 = (4÷4)/ (8÷4)
= 1/2
In both the cases we get 1/2 as the lowest term so the fractions 12/24 and 4/8 are equivalent fractions.

There is another way to find the series of equivalent fractions.
Let us learn to find equivalent fractions for 3/5
We continuously multiply the numerator and the denominator by 2, 3, 4, or any other number and get ample of equivalent fractions for any given fraction.
To find the equivalent fractions for 2/5, we first multiply numerator and denominator by 2
We get ,
= (2 *2)/ (5 * 2)
= 4 / 10
Now we again multiply numerator and denominator by 3, we get
 = (2 * 3) / (5 * 3)
= 6 / 15
So we conclude 4/10 and 6/15 are two equivalent fractions of 2/5.

In upcoming posts we will discuss about Compare Whole Numbers and Collect and represent data. Visit our website for information on Andhra Pradesh board textbooks