Download 6.4 Adding and Subtracting Mixed Numbers

OPERATIONS WITH MIXED
NUMBERS
Convert the following into a mixed
number

MIXED NUMBERS INTO
IMPROPER FRACTIONS
Mixed Number → Improper
Fraction
1.
2.
3.
Multiply the whole number times the
denominator
Add your answer to the numerator
Put that number over the
denominator
Mixed Number → Improper Fraction
1.
2.
3.
Multiply the whole number times the
denominator
Add your answer to the numerator
Put that number over the denominator
+1
2x2
5
2
2
1
2
5
2
Convert the mixed number to an
improper fraction:
4
1
2
9
2
Convert the mixed number to an
improper fraction:
6
2
3
20
3
Convert the mixed number to an
improper fraction:
3
2
5
17
5
Convert the mixed number to an
improper fraction:
4
3
4
19
4
Convert the mixed number to an
improper fraction:
6
1
3
19
3
Convert the mixed number to an
improper fraction:
8
3
5
43
5
Practice/Homework
ADDING AND
SUBTRACTING MIXED
NUMBERS
Adding Mixed Numbers
Find the sum.
1
+
3
4
9
1. Rewrite the fraction using
LCD if denominators are
different.
1
2. Add or subtract the fractions,
4
9
5
9
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.
4
1
9
+
3
4
1
3
7
9
X3
=
X3
3
9
4
+
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
19
To Subtract Mixed Numbers with
Regrouping.
1
58
5
3
- 8
20
To Subtract Mixed Numbers with
Regrouping.
1)
Regroup by borrowing one
from the 5.
41
58
5
3
- 8
21
To Subtract Mixed Numbers with
Regrouping.
2)
Change the 1 to 8/8.
41
58
5
3
- 8
8
8
Copyright © 2006 by Monica Yuskaitis
To Subtract Mixed Numbers
with Regrouping.
3)
Add the 1/8 plus the 8/8.
22
41 8 9
58 + 8 = 8
5
3
- 8
Copyright © 2006 by Monica Yuskaitis
To Subtract Mixed Numbers with
Regrouping.
4)
Subtract the fractions.
23
41 8 9
58 + 8 = 8
5
3
- 8
4
8
Copyright © 2006 by Monica Yuskaitis
24
To Subtract Mixed Numbers
with Regrouping.
5)
Subtract the whole numbers.
41 8 9
58 + 8 = 8
5
3
- 8
4
1
8
Copyright © 2006 by Monica Yuskaitis
25
To Subtract Mixed Numbers
with Regrouping.
6)
Simplify your fraction.
41 8 9
58 + 8 = 8
5
3
- 8
4
4
1
1
=
1
÷
8
4
2
Copyright © 2006 by Monica Yuskaitis
Review Regrouping

Adding and Subtracting Mixed
Numbers with Regrouping

Pg 236 Questions 1-15