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2. NUMBER THEORY 2.1. FRACTIONS 2.1.3. MIXED NUMBERS AND IMPROPER FRACTIONS Liberal Arts Math

Liberal Arts Math. Objectives By the end of this lesson, you Understand the meaning of the term improper fraction. Understand the meaning of the

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Page 1: Liberal Arts Math. Objectives  By the end of this lesson, you  Understand the meaning of the term improper fraction.  Understand the meaning of the

2. NUMBER THEORY 2.1. FRACTIONS

2.1.3. MIXED NUMBERS AND IMPROPER FRACTIONS

Liberal Arts Math

Page 2: Liberal Arts Math. Objectives  By the end of this lesson, you  Understand the meaning of the term improper fraction.  Understand the meaning of the

Objectives

By the end of this lesson, you Understand the meaning of the term

improper fraction. Understand the meaning of the term

mixed number. Can convert improper fractions to

mixed numbers. Can convert mixed numbers to

improper fractions.

Page 3: Liberal Arts Math. Objectives  By the end of this lesson, you  Understand the meaning of the term improper fraction.  Understand the meaning of the

What is,

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6

8

5

Page 4: Liberal Arts Math. Objectives  By the end of this lesson, you  Understand the meaning of the term improper fraction.  Understand the meaning of the

What is,

8

11

8

6

8

5

Page 5: Liberal Arts Math. Objectives  By the end of this lesson, you  Understand the meaning of the term improper fraction.  Understand the meaning of the

What is,

?8

11

Page 6: Liberal Arts Math. Objectives  By the end of this lesson, you  Understand the meaning of the term improper fraction.  Understand the meaning of the

Improper Fractions

8

11 What is an Improper Fracti

on?

Page 7: Liberal Arts Math. Objectives  By the end of this lesson, you  Understand the meaning of the term improper fraction.  Understand the meaning of the

Improper Fractions

8

11 What is an Improper

Fraction? An improper fraction is one

in which the numerator is greater than the denominator.

So what is so improper about it?

Page 8: Liberal Arts Math. Objectives  By the end of this lesson, you  Understand the meaning of the term improper fraction.  Understand the meaning of the

Improper Fractions

8

11

8

6

8

5

Page 9: Liberal Arts Math. Objectives  By the end of this lesson, you  Understand the meaning of the term improper fraction.  Understand the meaning of the

Improper Fractions

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11

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5

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Page 10: Liberal Arts Math. Objectives  By the end of this lesson, you  Understand the meaning of the term improper fraction.  Understand the meaning of the

Improper Fractions

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8

31

8

11

8

6

8

5

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Page 11: Liberal Arts Math. Objectives  By the end of this lesson, you  Understand the meaning of the term improper fraction.  Understand the meaning of the

Improper Fractions

8

3131811

8

31

8

3

8

8

8

11

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Page 12: Liberal Arts Math. Objectives  By the end of this lesson, you  Understand the meaning of the term improper fraction.  Understand the meaning of the

Improper Fractions

?7

24

Page 13: Liberal Arts Math. Objectives  By the end of this lesson, you  Understand the meaning of the term improper fraction.  Understand the meaning of the

Improper Fractions

7

3333724

7

33

7

3

7

7

7

7

7

7

7

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Page 14: Liberal Arts Math. Objectives  By the end of this lesson, you  Understand the meaning of the term improper fraction.  Understand the meaning of the

What is,

?7

33

Page 15: Liberal Arts Math. Objectives  By the end of this lesson, you  Understand the meaning of the term improper fraction.  Understand the meaning of the

Mixed Number

7

33

What is a Mixed Number? A number that contains both

a whole number and a fraction

Page 16: Liberal Arts Math. Objectives  By the end of this lesson, you  Understand the meaning of the term improper fraction.  Understand the meaning of the

Worksheet: Mixed Numbers

For each set of shapes, write BOTH the mixed number and the improper fraction!

Page 17: Liberal Arts Math. Objectives  By the end of this lesson, you  Understand the meaning of the term improper fraction.  Understand the meaning of the

Changing Improper Fractions to Mixed Numbers

Page 18: Liberal Arts Math. Objectives  By the end of this lesson, you  Understand the meaning of the term improper fraction.  Understand the meaning of the

Changing Improper Fractions to Mixed Numbers To change an improper fraction to a

mixed number, divide the numerator by the denominator The number of times the denominator goes

into the numerator evenly is the whole number

The remainder is put back over the denominator as the fraction

3

2525317

3

17 R

Page 19: Liberal Arts Math. Objectives  By the end of this lesson, you  Understand the meaning of the term improper fraction.  Understand the meaning of the

How About Changing Mixed Numbers Back Into Fractions?

Page 20: Liberal Arts Math. Objectives  By the end of this lesson, you  Understand the meaning of the term improper fraction.  Understand the meaning of the

Mixed Numbers toImproper Fractions

9

53

9

32

9

5

9

93

9

53

9

32

9

5

9

9

9

9

9

9

x

Page 21: Liberal Arts Math. Objectives  By the end of this lesson, you  Understand the meaning of the term improper fraction.  Understand the meaning of the

Changing Mixed Numbers Into Improper Fractions

Page 22: Liberal Arts Math. Objectives  By the end of this lesson, you  Understand the meaning of the term improper fraction.  Understand the meaning of the

Mixed Numbers toImproper Fractions

To convert a mixed number to an improper fraction, Multiply the whole number times the

denominator Add that to the numerator and put that

as the new numerator

Page 23: Liberal Arts Math. Objectives  By the end of this lesson, you  Understand the meaning of the term improper fraction.  Understand the meaning of the

Mixed Numbers toImproper Fractions

7

38

7

3

7

35

7

3

7

75

7

35

x

Page 24: Liberal Arts Math. Objectives  By the end of this lesson, you  Understand the meaning of the term improper fraction.  Understand the meaning of the

Worksheet: Improper Fractions and Mixed Numbers

Page 25: Liberal Arts Math. Objectives  By the end of this lesson, you  Understand the meaning of the term improper fraction.  Understand the meaning of the

Worksheet: Mixed Fractions Number Line

Page 26: Liberal Arts Math. Objectives  By the end of this lesson, you  Understand the meaning of the term improper fraction.  Understand the meaning of the

Objectives

By the end of this lesson, you Understand the meaning of the term

improper fraction. Understand the meaning of the term

mixed number. Can convert improper fractions to

mixed numbers. Can convert mixed numbers to

improper fractions.

Page 27: Liberal Arts Math. Objectives  By the end of this lesson, you  Understand the meaning of the term improper fraction.  Understand the meaning of the

ANY QUESTIONS?

Liberal Arts Math