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Adding Fractions with Unlike Denominators. 1. 3. 1. 1. 1. 5. 5. 5. 1. 1. 1. 1. 15. 15. 15. 15. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. - PowerPoint PPT Presentation
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© 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: 2
22÷ 3
2=
61
61
61
31
31
© 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
33÷
43=
133×
123=
22×
126=
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×
217=
33×
216=
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×
93=
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
33÷
85=
133×
243=
44×
2412=
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×
1510=
33×
1512=
LCD: 15
1
