Two brothers want to share a large field equally.
One brother proposes to take all the regions labeled A.

Yes, the partition gives the two brothers equal shares.

Step-by-step explanation:

Step 1:

Assume the entire field has an area of B. So one brother takes , , and

So we need to calculate how much this brother takes in terms of B.

To do this we calculate how much is.

Step 2:

To add ,

First take the LCM of the denominators 12, 6, and 4

The LCM is 12, we multiply the denominator to get the LCM value, this same value is multiplied to the numerator too.

Step 3:

One brother gets , so we need to calculate how much the other brother gets.

The other brother's share =

So both the brothers get equal shares