# how do you add #2\frac { 1} { 2} + 2\frac { 2} { 3}#?

##### 1 Answer

See below.

#### Explanation:

First, the numbers must be changed to an improper fraction, meaning that there are no whole numbers. I am going to demonstrate how to do this with the

Step 1: To start off, you must multiply the denominater

by the whole number

to get the equation

Step 2: Now, you must add the number we just got

to the numerator

getting the equation

You can now do the same thing with the other fraction, resulting in the equation

The next step to solve this problem is to change the denominators so that they are common, or the same number. The first common number they have, is

Since 2 (the denominater) has to be multiplied by 3 to get to 6, 5 (the numerator) must also be multiplied by 3.

This results in the fraction of

Now, in the other fraction, since 3 (denominater) must be multiplied by 2 to get 6, 8 (the numerator) must also be multiplied by 2.

This results in the fraction of

Now that the denominaters are the same, the numerators must be added to complete the problem.

That is your new numerator, which is put over the common denominater of 6, to get