Introduction on Equal Share Fractions:

In mathematics, fraction is the part of an object. Fractions can be print or expressed as `(a)/(b)` .Where, a is the numerator and b is the denominator. For example `(1)/(2)` , `(3)/(4)` , `(2)/(5)` , `(1)/(7)` are considered as the fractions. There are many operations on the fractions like adding fractions, Subtracting fractions, multiplying fractions, dividing fractions, comparing fractions, Equivalent fractions etc... Let us see equal share fractions in this article. 

About Equal Share Fractions:

 

Equal Share Fractions is also known as the Equivalent Fraction. In a fractional expression if both sides are equal then such fraction is said to be equal share fraction or equivalent fraction.

For example:

`(1)/(2)` =`(2)/(4)=``(3 )/(6)=``(4)/(8)`

`(1)/(3)` =`(2)/(6)=``(3 )/(9)=``(4)/(12)`

`(1)/(4)` =`(2)/(8)=``(3 )/(12)=``(4)/(16)`

These are the examples of equal share fractions or eqvivalent farctions.

 

Examples on equal share fraction:

 

Let us see some examples on equal share fractions.

Example 1:

Find the missing term in the equal share fractions:  `(2)/(7)` = `(4)/(?)`

Solution:

Let us consider the missing term as 'x' .

`(2)/(7)` = `(4)/(x)`

x = 4 x `(7)/(2)` = 2 x 7 = 14.

Hence the missing term is 14.

Example 2:

Find the missing term in the equal share fractions : `(3)/(7)` = `(?)/(21)`

Solution:

Let us take the missing term as ' x ' .

`(3) / (7)` = `(x)/(21)`

x = 21 x `(3)/(7)`  = 9.

Example 3:

Find the missing term in the equal share fractions:  `(1)/(5)` = `(4)/(?)`

Solution:

Let us consider the missing term as 'x' .

`(1)/(5)` = `(4)/(x)`

x = 4 x `(5)/(1)` = 4 x 5 = 20.

Hence the missing term is 20.

Example 4:

Find the missing term in the equal share fractions : `(4)/(3)` = `(?)/(21)`

Solution:

Let us take the missing term as ' x ' .

`(4) / (3)` = `(x)/(21)`

x = 21 x `(4)/(3)`  = 7 x 4 = 28.

These are the examples on equal share fractions.

 

Practice Problems:

 

Problem 1:

Find the missing term in the equal share fraction:

`(1)/(6)` = `(6)/(?)`

Answer:

36.

Problem 2:

Find the missing term in the equal share fraction:

`(1)/(7)` = `(3)/(?)`

Answer:

21.