We at ask-math believe that educational material should be free for everyone. Please use the content of this website for in-depth understanding of the concepts. Additionally, we have created and posted videos on our youtube.
We also offer One to One / Group Tutoring sessions / Homework help for Mathematics from Grade 4th to 12th for algebra, geometry, trigonometry, pre-calculus, and calculus for US, UK, Europe, South east Asia and UAE students.
Affiliations with Schools & Educational institutions are also welcome.
Please reach out to us on [email protected] / Whatsapp +919998367796 / Skype id: anitagovilkar.abhijit
We will be happy to post videos as per your requirements also. Do write to us.
Equivalent fractions: The fractions having the same value are called equivalent-fractions.
There are two ways of obtaining equivalent-fractions.
1) By multiplying its numerator and denominator by the same number.
Write 3 equivalent-fractions of 2/3.
2 2 x 2 4
--- = ----- = ----
3 3 x 2 6
So 4/6 is the 1st equivalent-fraction of 2/3 .
2nd equivalent-fraction is (2 x 3)/(3 x 3) = 6/9
3rd equivalent-fraction is ( 2 x 4)/(3 x 4) = 8/12
Some more examples :
Example : Write two equivalent-fractions of 7/5
To get first equivalent-fraction of 7/5, multiply both numerator and denominator by 2
(7 x 2)/(5 x 2) = 14/10
To get 2nd equivalent-fraction of 7/5, multiply both numerator and denominator by 3
(7 x 3) / (5 x 3) = 21/15
So two equivalent-fractions of 7/ 5 are 14/10 and 21/15.
Note : To find equivalent-fractions, multiply the numerator and denominator first by 2,3,4,…so on
To check whether the two fractions are equivalent then use the following method.
The product of the numerator of the 1st and the denominator of the 2nd is equal to the product of the denominator of the 1st and the numerator of the 2nd .
In example 1) you can see that products are equal so 2/5 and 6/15 are equivalent-fractions.
In example 2) you can see that products are not equal so they are not equivalent-fractions.
1) Write 4 equilvatent-fractions of 3/8
2) Write 3 equilvatent-fractions of 1 ½.
3) Write 2 equilvatent-fractions of 3 ⅛.
4) Write 4 equilvatent-fractions of -2 ⅓.
5) Write 2 equilvatent-fractions of -7/6.