Adding Fractions with Unlike Denominators
description
Transcript of Adding Fractions with Unlike Denominators
© 2007 M. Tallman
© 2007 M. Tallman
151
151
+
51
51
51
31
151
151
151
151
151
151
151
151
151
151
151
151
151
151
151
151
151
151
151
151
151
151
151
151
151
151
© 2007 M. Tallman
+
=
41
61
61
121
121
121
121121
12112
1
121
121
121
121
121
12112
1
© 2007 M. Tallman
+
43
61
+
1211
Step 1: Find the LCD of the fractions.
Step 2: Rename the fractions using the LCD.Step 3: Add the numerators. Denominator remains.Step 4: Simplify, if necessary.
41
41
41
61
112
112
112
112
112
112
112
112
112
112
112
33× 12
9=
22× 12
2=
LCD: 12
112
112
112
112
112
112
112
112
112
112
112
© 2007 M. Tallman
+31
91
+
94
Step 1: Find the LCD of the fractions.
Step 2: Rename the fractions using the LCD.Step 3: Add the numerators. Denominator remains.Step 4: Simplify, if necessary.
33× 9
3=LCD: 9
31
91
91
919
1
91
91
919
1
© 2007 M. Tallman
+
52
21
+
109
Step 1: Find the LCD of the fractions.
Step 2: Rename the fractions using the LCD.Step 3: Add the numerators. Denominator remains.Step 4: Simplify, if necessary.
22× 10
4=
55× 10
5=
LCD: 105
151
21
101
101
101
101
101
101
101
101
101
101
101
101
101
101
101
101
101
101
© 2007 M. Tallman
+21
61
+
64
Step 1: Find the LCD of the fractions.
Step 2: Rename the fractions using the LCD.Step 3: Add the numerators. Denominator remains.Step 4: Simplify, if necessary.
33× 6
3=LCD: 6
21
61
61
61
61
61
GCF: 222÷ 3
2=
61
61
61
31 3
1
© 2007 M. Tallman
61
61
61
61+
21
32
+
67
Step 1: Find the LCD of the fractions.
Step 2: Rename the fractions using the LCD.Step 3: Add the numerators. Denominator remains.Step 4: Simplify, if necessary.
33× 6
3=
22× 6
4=
LCD: 6
31
31
21
61
61
61
61
61
61
61
61
61
61
161=
1 Whole
© 2007 M. Tallman
Step 1: Find the LCD of the fractions.
Step 2: Rename the fractions using the LCD.
Step 3: Add the numerators. Denominator remains.
Step 4: Simplify, if necessary.
4
63
+129GCF: 3 3
3÷ 43=
133× 12
3=
22× 12
6=LCD: 12
© 2007 M. Tallman
Step 1: Find the LCD of the fractions.
Step 2: Rename the fractions using the LCD.
Step 3: Add the numerators. Denominator remains.
Step 4: Simplify, if necessary.
3
72
+2113
177× 21
7=
33× 21
6=LCD: 21
© 2007 M. Tallman
Step 1: Find the LCD of the fractions.
Step 2: Rename the fractions using the LCD.
Step 3: Add the numerators. Denominator remains.
Step 4: Simplify, if necessary.
9
31
+97
4
33× 9
3=LCD: 9
© 2007 M. Tallman
Step 1: Find the LCD of the fractions.
Step 2: Rename the fractions using the LCD.
Step 3: Add the numerators. Denominator remains.
Step 4: Simplify, if necessary.
8
63
+2415GCF: 3 3
3÷ 85=
133× 24
3=
44× 24
12=LCD: 24
© 2007 M. Tallman
Step 1: Find the LCD of the fractions.
Step 2: Rename the fractions using the LCD.
Step 3: Add the numerators. Denominator remains.
Step 4: Simplify, if necessary.
3
54
+1522
157=
255× 15
10=
33× 15
12=LCD: 15
1