© 2007 M. Tallman. 2 1 4 1 4 1 6 1 6 1 6 1 8 1 8 1 8 1 8 1 2 1 4 2 6 3 8 4 10 5 1 1 1 1 1 = == =

18
© 2007 M. Tallman

Transcript of © 2007 M. Tallman. 2 1 4 1 4 1 6 1 6 1 6 1 8 1 8 1 8 1 8 1 2 1 4 2 6 3 8 4 10 5 1 1 1 1 1 = == =

Page 1: © 2007 M. Tallman. 2 1 4 1 4 1 6 1 6 1 6 1 8 1 8 1 8 1 8 1 2 1 4 2 6 3 8 4 10 5 1 1 1 1 1 = == =

© 2007 M. Tallman

Page 2: © 2007 M. Tallman. 2 1 4 1 4 1 6 1 6 1 6 1 8 1 8 1 8 1 8 1 2 1 4 2 6 3 8 4 10 5 1 1 1 1 1 = == =

© 2007 M. Tallman

21 4

1

41

61

61

61

81

81

818

1

21

42

63

84

105

101

10110

1

101

101

= = = =

Page 3: © 2007 M. Tallman. 2 1 4 1 4 1 6 1 6 1 6 1 8 1 8 1 8 1 8 1 2 1 4 2 6 3 8 4 10 5 1 1 1 1 1 = == =

© 2007 M. Tallman

21

41

41

61

61

61

81

81

81

81

101

101

101

101

101

21

42

63

84

105

Page 4: © 2007 M. Tallman. 2 1 4 1 4 1 6 1 6 1 6 1 8 1 8 1 8 1 8 1 2 1 4 2 6 3 8 4 10 5 1 1 1 1 1 = == =

© 2007 M. Tallman

31

61

61

121121

12112

1

91

919

1

151151

15115

1151

31

62

93

124

155

= = = =

Page 5: © 2007 M. Tallman. 2 1 4 1 4 1 6 1 6 1 6 1 8 1 8 1 8 1 8 1 2 1 4 2 6 3 8 4 10 5 1 1 1 1 1 = == =

© 2007 M. Tallman

31

62

93

124

155

31

61

61

121

121

121

121

151

151

151

151

151

91

91

91

Page 6: © 2007 M. Tallman. 2 1 4 1 4 1 6 1 6 1 6 1 8 1 8 1 8 1 8 1 2 1 4 2 6 3 8 4 10 5 1 1 1 1 1 = == =

© 2007 M. Tallman

41

82

123

= =

41

121

12112

1

818

1

Page 7: © 2007 M. Tallman. 2 1 4 1 4 1 6 1 6 1 6 1 8 1 8 1 8 1 8 1 2 1 4 2 6 3 8 4 10 5 1 1 1 1 1 = == =

© 2007 M. Tallman

41

82

123

121

121

121

41

81

81

Page 8: © 2007 M. Tallman. 2 1 4 1 4 1 6 1 6 1 6 1 8 1 8 1 8 1 8 1 2 1 4 2 6 3 8 4 10 5 1 1 1 1 1 = == =

© 2007 M. Tallman

2=21

21

22

Multiply the numerator and denominator by the same number.

When the numerator and

the denominator are the same, the fraction

equals 1 whole.

Multiplying any number by 1

does not change the value.

Example: 6 x 1 = 6

41

41

Page 9: © 2007 M. Tallman. 2 1 4 1 4 1 6 1 6 1 6 1 8 1 8 1 8 1 8 1 2 1 4 2 6 3 8 4 10 5 1 1 1 1 1 = == =

© 2007 M. Tallman

3=21

21

33

Multiply the numerator and denominator by the same number.

61

61

61

Page 10: © 2007 M. Tallman. 2 1 4 1 4 1 6 1 6 1 6 1 8 1 8 1 8 1 8 1 2 1 4 2 6 3 8 4 10 5 1 1 1 1 1 = == =

© 2007 M. Tallman

4=21

21

44

Multiply the numerator and denominator by the same number.

81

81

818

1

Page 11: © 2007 M. Tallman. 2 1 4 1 4 1 6 1 6 1 6 1 8 1 8 1 8 1 8 1 2 1 4 2 6 3 8 4 10 5 1 1 1 1 1 = == =

© 2007 M. Tallman

5=21

21

55

10×

Multiply the numerator and denominator by the same number.

101

10110

1

101

101

Page 12: © 2007 M. Tallman. 2 1 4 1 4 1 6 1 6 1 6 1 8 1 8 1 8 1 8 1 2 1 4 2 6 3 8 4 10 5 1 1 1 1 1 = == =

© 2007 M. Tallman

6=21

21

66

12×

Multiply the numerator and denominator by the same number.

121 12

1121121

12112

1

Page 13: © 2007 M. Tallman. 2 1 4 1 4 1 6 1 6 1 6 1 8 1 8 1 8 1 8 1 2 1 4 2 6 3 8 4 10 5 1 1 1 1 1 = == =

© 2007 M. Tallman

2=31

22

Multiply the numerator and denominator by the same number.

When the numerator and

the denominator are the same, the fraction

equals 1 whole.

Multiplying any number by 1

does not change the value.

Example: 6 x 1 = 6

31

61

61

Page 14: © 2007 M. Tallman. 2 1 4 1 4 1 6 1 6 1 6 1 8 1 8 1 8 1 8 1 2 1 4 2 6 3 8 4 10 5 1 1 1 1 1 = == =

© 2007 M. Tallman

3=31

33

Multiply the numerator and denominator by the same number.

31

91

91

91

Page 15: © 2007 M. Tallman. 2 1 4 1 4 1 6 1 6 1 6 1 8 1 8 1 8 1 8 1 2 1 4 2 6 3 8 4 10 5 1 1 1 1 1 = == =

© 2007 M. Tallman

4=31

44

12×

Multiply the numerator and denominator by the same number.

31

121

121

121

121

Page 16: © 2007 M. Tallman. 2 1 4 1 4 1 6 1 6 1 6 1 8 1 8 1 8 1 8 1 2 1 4 2 6 3 8 4 10 5 1 1 1 1 1 = == =

© 2007 M. Tallman

5=31

55

15×

Multiply the numerator and denominator by the same number.

31

151

151

151

151

151

Page 17: © 2007 M. Tallman. 2 1 4 1 4 1 6 1 6 1 6 1 8 1 8 1 8 1 8 1 2 1 4 2 6 3 8 4 10 5 1 1 1 1 1 = == =

© 2007 M. Tallman

6=43

22

Multiply the numerator and denominator by the same number.

41

41

41

81

81

81

81

81

81

Page 18: © 2007 M. Tallman. 2 1 4 1 4 1 6 1 6 1 6 1 8 1 8 1 8 1 8 1 2 1 4 2 6 3 8 4 10 5 1 1 1 1 1 = == =

© 2007 M. Tallman

51

51 5

1151

151

151

9=53

33

15×

Multiply the numerator and denominator by the same number.

151

151

15115

1

151

151