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2. NUMBER THEORY 2.1. FRACTIONS
2.1.3. MIXED NUMBERS AND IMPROPER FRACTIONS
Liberal Arts Math
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.
What is,
?8
6
8
5
What is,
8
11
8
6
8
5
What is,
?8
11
Improper Fractions
8
11 What is an Improper Fracti
on?
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?
Improper Fractions
8
11
8
6
8
5
Improper Fractions
xxx
8
11
8
6
8
5
XXX
Improper Fractions
xxx
8
31
8
11
8
6
8
5
XXX
Improper Fractions
8
3131811
8
31
8
3
8
8
8
11
R
Improper Fractions
?7
24
Improper Fractions
7
3333724
7
33
7
3
7
7
7
7
7
7
7
24
R
What is,
?7
33
Mixed Number
7
33
What is a Mixed Number? A number that contains both
a whole number and a fraction
Worksheet: Mixed Numbers
For each set of shapes, write BOTH the mixed number and the improper fraction!
Changing Improper Fractions to Mixed Numbers
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
How About Changing Mixed Numbers Back Into Fractions?
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
Changing Mixed Numbers Into Improper Fractions
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
Mixed Numbers toImproper Fractions
7
38
7
3
7
35
7
3
7
75
7
35
x
Worksheet: Improper Fractions and Mixed Numbers
Worksheet: Mixed Fractions Number Line
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.
ANY QUESTIONS?
Liberal Arts Math