Decompose Fractions into Unit Fractions

A unit fraction is a fraction in which numerator is 1.

 

Let's decompose

3 7

as a sum of unit fractions

.

 

Make a model to identify the sum of the unit fractions.

 

This model represents a whole divided into 7 equal parts.

 

Here, each part represents the unit fraction,

1 7

.

 

 

 

Now, select 3 parts to represent the fraction

3 7

.

 

So,

3 7

=

1 7

+

1 7

+

1 7

.