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6.4 Adding and
Subtracting Mixed
Numbers
Adding Mixed Numbers
Find the sum.
1
+

3
4

4
9
1
9
5
9

1. Rewrite the fraction using
LCD if denominators are
different.
2. Add or subtract the
fractions,
then the whole numbers.

3. Simplify if possible.

In this problem, the denominators are the
same, so begin with step 2.
Let’s Do More Examples!
Find the sum.
1

+

3
4

4

4

9
1
3
7
9

X3

=
X3

3
9

+

5

7
8
X2

1
4

=
X2

8
9

9
10

2

8
1
8

=

1

1
8

Add the whole numbers.
Subtracting Mixed
Numbers
Find the Difference.
1 17
20
3 X 4 12
=
- 1
5 X 4 20
5

= 1
20
4

3

X6

= 18
3
4 X 6 24
1

X4

- 1 6
2

14
24

=

X4

=
7

2
12

4
24
7
12

10 7
8
1
4
8
6

6

= 3
4

8
6

3
4
Now You Try!
Find the sum or difference.
3 X2 6
5
10
3
=
4
=
12
5 X 2 10
6
9
1
+ 7 10
- 1 12
10

15
10

= 1

5
10
11

=

1
2

9 =
12

3

1
2

3

3
4

3
4
Now You Try!
Find the sum or difference.
3 X2 6
5
10
3
=
4
=
12
5 X 2 10
6
9
1
+ 7 10
- 1 12
10

15
10

= 1

5
10
11

=

1
2

9 =
12

3

1
2

3

3
4

3
4

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Addandsubtractmixednumberspowerpoint

  • 2. Adding Mixed Numbers Find the sum. 1 + 3 4 4 9 1 9 5 9 1. Rewrite the fraction using LCD if denominators are different. 2. Add or subtract the fractions, then the whole numbers. 3. Simplify if possible. In this problem, the denominators are the same, so begin with step 2.
  • 3. Let’s Do More Examples! Find the sum. 1 + 3 4 4 4 9 1 3 7 9 X3 = X3 3 9 + 5 7 8 X2 1 4 = X2 8 9 9 10 2 8 1 8 = 1 1 8 Add the whole numbers.
  • 4. Subtracting Mixed Numbers Find the Difference. 1 17 20 3 X 4 12 = - 1 5 X 4 20 5 = 1 20 4 3 X6 = 18 3 4 X 6 24 1 X4 - 1 6 2 14 24 = X4 = 7 2 12 4 24 7 12 10 7 8 1 4 8 6 6 = 3 4 8 6 3 4
  • 5. Now You Try! Find the sum or difference. 3 X2 6 5 10 3 = 4 = 12 5 X 2 10 6 9 1 + 7 10 - 1 12 10 15 10 = 1 5 10 11 = 1 2 9 = 12 3 1 2 3 3 4 3 4
  • 6. Now You Try! Find the sum or difference. 3 X2 6 5 10 3 = 4 = 12 5 X 2 10 6 9 1 + 7 10 - 1 12 10 15 10 = 1 5 10 11 = 1 2 9 = 12 3 1 2 3 3 4 3 4