Add Mixed Numbers

Mrs. YoungEMC 1

Quick Review

• Denominator – the number at the bottom of the fraction. This number names the total number of parts that equals a whole

• Unlike denominators– This means that the denominators are the different

• Example: Look at the fractions below

34

16

The fractions have different denominators– called unlike denominators

and

Quick Review Continued…

• Mixed number: a mixed number is a whole number and a fraction.

• Example:

2 310

Add Mixed Numbers

• Remember, in order to add fractions you need to have a common denominator.

• Add

2 310

+

3 110

Step 1:

• Find the least common denominator to find like fractions.

• In this case the fractions are already like.

2 310

+

3 110

Step 2:

• Add the fractions

2 310

+ 3 1

10410

Step 3:

• Add the whole numbers

2 310

+ 3 1

104105

Step 4:

• Simplify the fraction part of the sum, if possible

4105

In order to simplify the fraction, you must find the GCF of the numerator and the denominator.

Remember to list all of the factors:

4: 1, 2, 4

10: 1, 2, 5, 10

GCF = 2

=÷

÷

22

255

Step 1:

1 37

+

3 12

• Find the least common denominator to find like fractions.

37

+

x 2

x 2

12

x 7

x 7= 6

14+

714

Step 2:

• Add the fractions

1 614

3 7141310

+

Step 3:

• Add the whole numbers

1 614

3 7141314

+

3

Step 4:

• Simplify the fraction part of the sum, if possible

13143 =÷

÷

11

13143

In order to simplify the fraction, you must find the GCF of the numerator and the denominator.

Remember to list all of the factors:

13: 1, 13

14: 1, 2, 7, 14

GCF = 1

Step 1:

• Find the least common denominator to find like fractions.

2 35

+

4 67

35

+

x 7

x 7

67

x 5

x 5= 21

35+

3035

Step 2:

• Add the fractions

2 2135

4 30355135

+

Step 3:

• Add the whole numbers

2 2135

4 30355135

+

6

Step 4:

• Simplify the fraction part of the sum, if possible

51356

This time, our fraction is an improper fraction. So, we MUST turn this into a mixed number.

5135 = 16

351

Step 4 continued

• Now we are left with this and we must add again!

16351 +

6 = 16

357Make sure that you simplify the fraction!

In this case, it is already reduced to lowest terms.

Step 1:

• Find the least common denominator to find like fractions.

1 29

+

4 23

29

+

x 3

x 3

23

x 9

X 9= 6

27+

1827

Step 2:

• Add the fractions

1 627

4 18272427

+

Step 3:

• Add the whole numbers

1 627

4 18272427

+

5

Step 4:

• Simplify the fraction part of the sum, if possible

24275

In order to simplify the fraction, you must find the GCF of the numerator and the denominator.

Remember to list all of the factors:

24: 1, 2, 3, 4, 6, 8, 12, 24

27: 1, 3, 9, 27

GCF = 3

=÷

÷

33

895

Your turn!

211

+

5233

Try another!

17

+

3344