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Adding a fraction is just as easy as adding a mixed number. It's just the difference of a whole number. So how do add fractions? Well first let's take the fraction problem 7/9+5/8 and the next thing we have to do is put the fractions in vertical form like this:__7__

9

+

__5__

8

Next you have to find out the LCM of the two denominators 9 and 8 and then rename the fractions like this:

__7__

9 9,18,27,36,45,54,63,

+ =

__5__8,16,24,32,40,48,56,64,

8

__56__

72

+

__45__

72

So now that we have two fractions with like denominators all we have to do is add the numerators and keep the denominator as it is in the answer like this:

__56__

72

__101____

__1_____

+ = 72 = 72/ 101 = 72x1=72

__45__72

72 29

= 1

__29__

72

So the answer to the problem 7/9+5/8=1 29/72 so the answer is a mixed number.

Now let's add mixed numbers by taking the two mixed numbers 4 2/4 + 5 3/5. Now the first thing we need to do is make the mixed numbers into improper fractions then add them vertical like this:

4

__2__

__18__

4 = 4

4 x 4= 16

16+2= 18

5

__3__

__28__

5 = 5

5 x 5= 25

25+3= 28

__18__

4

+

__28__

5

Now we have to find the LCM of the two denominators and rename the fractions like this:

__18__

4 4,8,12,16,

+ =

__28__5,10,15,

5

__90__

20

+

__112__

20

So now all you have to do is add the numerators and keep the denominator as it is like this:

__90__

20

__202____

__10______

+ = 20 = 20/ 202 = 10

__2__

__112__200 20

20 2

So the answer for the problem 4 2/4 + 5 3/5 is 10 2/20 or 10 1/10 and after all the answer is a mixed number.

Now try some of these and make sure to watch the video on YouTube:

*Sheet 1 Adding Fractions and Mixed Numbers*

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