area of fenced garden

Question

Garden is divided into 5 equal sections. Then fence the garden into 3 areas by grouping some equal sections together. What part of the garden could each fenced area be?

Answer 1

So that's one garden which is divided into 5 equal sections.

 

One section  will be 1/5

 

Garden = 1/5  +  1/5  + 1/5  +  1/5  + 1/5

 

Alright.

 

Now lets start grouping equal sections together. There are two ways to do that!

 

1.  We have five 1/5 to group. lets make pairs of 1/5

 

First pair = 1/5 +1/5

2nd pair = 1/5 + 1/5

3rd        = 1/5

 

So whole garden is divided into 3 sections

 

( 1/5 + 1/5 )      ,      ( 1/5 + 1/5 )     ,     1/5

 

 

2.  Starting over, We have five 1/5 to group. Instead of joining 2 equal parts of garden together, this time we join 3 pats together.

First part = 1/5 +1/5 +1/5

Now we have two 1/5 to be divided in 2 parts. so each part will get one 1/5 

2nd part = 1/5 
3rd part = 1/5

So whole garden is divided into 3 sections

 

   ( 1/5 + 1/5 + 1/5 )      ,    1/5     ,     1/5 

 

 

Do bother for more explanation :)