# How do I find #2/3# of a whole number?

##### 2 Answers

To find

#### Explanation:

If you represent any whole number by

then

Looking at the last form you can see that you are multiplying the number

Example if:

Similarly if:

Divide the number by 3 to find 'one-third,, then multiply by 2 to find 'two-thirds'.

#### Explanation:

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.

Finding

and