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Page 1: © 2007 M. Tallman. 15 1 1 + 5 1 5 1 5 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1

© 2007 M. Tallman

Page 2: © 2007 M. Tallman. 15 1 1 + 5 1 5 1 5 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1

© 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

Page 3: © 2007 M. Tallman. 15 1 1 + 5 1 5 1 5 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1

© 2007 M. Tallman

+

=

41

61

61

121

121

121

121121

12112

1

121

121

121

121

121

12112

1

Page 4: © 2007 M. Tallman. 15 1 1 + 5 1 5 1 5 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 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

Page 5: © 2007 M. Tallman. 15 1 1 + 5 1 5 1 5 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1

© 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

Page 6: © 2007 M. Tallman. 15 1 1 + 5 1 5 1 5 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 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

Page 7: © 2007 M. Tallman. 15 1 1 + 5 1 5 1 5 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1

© 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

Page 8: © 2007 M. Tallman. 15 1 1 + 5 1 5 1 5 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 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

Page 9: © 2007 M. Tallman. 15 1 1 + 5 1 5 1 5 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1

© 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

Page 10: © 2007 M. Tallman. 15 1 1 + 5 1 5 1 5 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1

© 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

Page 11: © 2007 M. Tallman. 15 1 1 + 5 1 5 1 5 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1

© 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

Page 12: © 2007 M. Tallman. 15 1 1 + 5 1 5 1 5 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1

© 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

Page 13: © 2007 M. Tallman. 15 1 1 + 5 1 5 1 5 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1

© 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