# How do you simplify #3 2/3 + 1 1/4 - 2 5/12#?

##### 1 Answer

Method broken down into a lot of detail. Once you get used to these you can do a lot of it in your head and rattle the answer off in a couple of lines.

#### Explanation:

Stating the obvious: When adding and subtracting you are dealing with counts.

A fractions structure is such that we have:

You can not DIRECTLY add or subtract counts unless the size indicators are the same. This is why 2+3 works as really it is

Consider

So you have 3 of unit size

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

In the end I make them all have the same 'unit size' (denominator)

Consider

Write as

..............................................................

Consider

Using the same method as above this is

................................................................

Consider

Using the same method this is

....................................................................

Putting it all together

Again using the above approach we have