How do I find #2/3# of a whole number?
If you represent any whole number by
Looking at the last form you can see that you are multiplying the number
Divide the number by 3 to find 'one-third,, then multiply by 2 to find 'two-thirds'.
It is important to understand what two-thirds actually means...
Working with 'thirds' means you have started with a number or a quantity of something (like sweets) and divided it into THREE EQUAL parts, each part being 'one third' of the original amount.
Now, to find 'two-thirds", simply means use 2 of the parts.
(SO, divide by 3 and then multiply by 2)
So for a number, let's call it
It does not matter whether you multiply or divide first.
Dividing first makes the numbers smaller and easier to work with.