Here's how you solve a problem like this.

You are right that 3 can't go evenly into 8 -- that would be too easy!! :-) If 3 went into 8, all you would need to do is change the 2/3 fraction into 8ths.

Since neither denominator fits evenly into the...

## Unlock

This Answer NowStart your **48-hour free trial** to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.

Already a member? Log in here.

Here's how you solve a problem like this.

You are right that 3 can't go evenly into 8 -- that would be too easy!! :-) If 3 went into 8, all you would need to do is change the 2/3 fraction into 8ths.

Since neither denominator fits evenly into the other, you need to change **both **fractions. The first step is to find the *smallest* number that they *both* go into evenly -- this number is called the LCM or Lowest Common Multiple. To find this, it's usually easiest to just go up the times table for the larger number til you find one that the smaller number also goes into. So, 8 x 1 = 8 (no help); 8 x 2 = 16 (no help); 8 x 3 = 24 (bingo! 3 also goes evenly into 24).

Now you know that you need to change both fractions into 24ths. To do this, multiply **both top and bottom** by the number needed to get to 24.

1 x 3 3

__ __

8 x 3 = 24

2 x 8 16

__ __

3 x 8 = 24

So, now you have two fractions you can add together:

3/24 + 16/24 = 19/24

You should always simplify your answer if you can, by dividing top and bottom by the same number. In this case you can't simplify since 19 is a prime number and so can't be divided evenly by any number other than itself and 1.

So, your final answer is 19/24

1/8 + 2/3 =?

First you have to find the LCM for the denominator. The Least Common Multiple (LCM) is the number that both denominators will go into evenly. The 8 and the 3 will both go into 24. You create improper fractions, 3/24 + 16/24 =? If you add the numerators 3 + 16 you get 19 so your answer is 19/24.