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Standard: 4-2.11
Represent improper
fractions, mixed
numbers, and decimals.
Fraction Action in Grade 4
Converting Mixed Numbers
and Improper Fractions/Simplifying Fractions
Vocabulary
Standard 4-2.11 Represent improper fractions,
mixed numbers, and decimals.
• Numerator
• Denominator
• Proper Fraction
• Mixed Number
• Improper Fraction
• Simplify
• Factors
• Fractional Form of 1 Whole
• Equivalent Fractions (Equal)
Standard 4-2.11 Represent improper fractions,
mixed numbers, and decimals.
The bottom number in a fraction is called
the _____________.
Remember: It tells
how many equal parts
are in EACH model.
4
8
Denominator
Standard 4-2.11 Represent improper fractions,
mixed numbers, and decimals.
The top number in a fraction is called the
____________.
Remember: It tells
the number we are
counting. (Usually the
shaded, unshaded, or a
specific color.)
6
9
Numerator
A. Standard 4-2.11 Represent improper
fractions, mixed numbers, and decimals.
In proper fractions , the numerator is less
than the denominator.
1
5
5
6
3
4
Notes
Standard 4-2.11 Represent improper fractions,
mixed numbers, and decimals.
Mixed numbers are represented when a
whole number and a proper fraction are
together.
3
8
8
10
Whole
Numerator
Denominator
6
9
Notes
Standard 4-2.11 Represent improper fractions,
mixed numbers, and decimals.
Improper fractions are represented when
the numerator is larger than the
denominator.
19
2
Numerator
Denominator
27
3
Standard 4-2.11 Represent improper fractions,
mixed numbers, and decimals.
What is the mixed number?
3
= 3
4
Standard 4-2.11 Represent improper fractions,
mixed numbers, and decimals.
What is the improper fraction?
=
15
4
Standard 4-2.11 Represent improper fractions,
mixed numbers, and decimals.
What is the mixed number?
3
= 4
4
Standard 4-2.11 Represent improper fractions,
mixed numbers, and decimals.
What is the mixed number?
1
= 5
2
Standard 4-2.11 Represent improper fractions,
mixed numbers, and decimals.
What is the improper fraction?
=
19
4
Standard 4-2.11 Represent improper fractions,
mixed numbers, and decimals.
What is the improper fraction?
=
11
2
Standard 4-2.11 Represent improper fractions,
mixed numbers, and decimals.
How is the mixed number below related to the
improper fraction?
1
5
2
=
11
2
A. Standard 4-2.11 Represent improper
fractions, mixed numbers, and decimals.
Remember....
In mixed numbers, a whole number and a proper fraction
are together. What mixed numbers are represented on this
number line?
0
0
1
1
2
2
3
4
5
3
6
7
Change this mixed number
to an improper fraction.
• Multiply the whole number
times the denominator.
• Add your answer to the
numerator.
• Put your new number
over the denominator.
Standard 4-2.11 Represent improper fractions,
mixed numbers, and decimals.
+3 24
3x =
7 7
Change this mixed number
to an improper fraction.
• Multiply the whole number
times the denominator.
• Add your answer to the
numerator.
• Put your new number
over the denominator.
Standard 4-2.11 Represent improper fractions,
mixed numbers, and decimals.
+1 33
4x =
8 8
Standard 4-2.11 Represent improper fractions,
mixed numbers, and decimals.
Change this improper fraction to a
mixed number.
2 r2
8
= 3) 8
3
6
 Divide the numerator
2
by the denominator.
2
Put the remainder over
2
=
the denominator.
3
Standard 4-2.11 Represent improper fractions,
mixed numbers, and decimals.
Change this improper fraction to a
mixed number.
5 r2
47
= 9 ) 47
9
45
 Divide the numerator
2
by the denominator.
2
Put the remainder over
5
=
the denominator.
9
Standard 4-2.11 Represent improper fractions,
mixed numbers, and decimals.
1. What is the mixed number for
A.
B.
C.
D.
5
6
6
5
4/5
4/5
3/5
4/6
34
5
?
Standard 4-2.11 Represent improper fractions,
mixed numbers, and decimals.
2. What is the mixed number for
A.
B.
C.
D.
3
4
3
3
1/4
1/4
1/3
2/4
14
4
?
Standard 4-2.11 Represent improper fractions,
mixed numbers, and decimals.
3. What is the mixed number for
A.
B.
C.
D.
5
4
6
6
1/3
1/2
1/2
2/2
13
2
?
Standard 4-2.11 Represent improper fractions,
mixed numbers, and decimals.
4. What is the improper fraction for
A.
B.
C.
D.
11/3
10/2
8/3
4/3
3
2
3
?
Standard 4-2.11 Represent improper fractions,
mixed numbers, and decimals.
5. What is the improper fraction for
A.
B.
C.
D.
7/6
13/6
27/6
4/6
4
3
6
?
Standard 4-2.11 Represent improper fractions,
mixed numbers, and decimals.
6. What is the improper fraction for
A.
B.
C.
D.
16/8
43/8
26/8
10/8
5
3
8
?
Steps to Simplify Fractions
Standard 4-2.11 Represent improper fractions,
mixed numbers, and decimals.
1. Find the GCF (Greatest Common Factor).
3
6
2. Make a fractional form of 1 using the GCF.
3. Divide the numerator and denominator by the
GCF’s fractional form of 1.
Steps to Simplify Fractions
Standard 4-2.11 Represent improper fractions,
mixed numbers, and decimals.
1. Find the GCF (Greatest Common Factor).
4
16
2. Make a fractional form of 1 using the GCF.
3. Divide the numerator and denominator by the
GCF’s fractional form of 1.
Steps to Simplify Fractions
Standard 4-2.11 Represent improper fractions,
mixed numbers, and decimals.
1. Find the GCF (Greatest Common Factor).
15
20
2. Make a fractional form of 1 using the GCF.
3. Divide the numerator and denominator by the
GCF’s fractional form of 1.
Steps to Simplify Fractions
Standard 4-2.11 Represent improper fractions,
mixed numbers, and decimals.
1. Find the GCF (Greatest Common Factor).
18
30
2. Make a fractional form of 1 using the GCF.
3. Divide the numerator and denominator by the
GCF’s fractional form of 1.
Steps to Simplify Fractions
Standard 4-2.11 Represent improper fractions,
mixed numbers, and decimals.
1. Find the GCF (Greatest Common Factor).
10
30
2. Make a fractional form of 1 using the GCF.
3. Divide the numerator and denominator by the
GCF’s fractional form of 1.
Steps to Simplify Fractions
Standard 4-2.11 Represent improper fractions,
mixed numbers, and decimals.
1. Find the GCF (Greatest Common Factor).
5
45
2. Make a fractional form of 1 using the GCF.
3. Divide the numerator and denominator by the
GCF’s fractional form of 1.
Steps to Simplify Fractions
Standard 4-2.11 Represent improper fractions,
mixed numbers, and decimals.
1. Find the GCF (Greatest Common Factor).
14
18
2. Make a fractional form of 1 using the GCF.
3. Divide the numerator and denominator by the
GCF’s fractional form of 1.
Steps to Simplify Fractions
Standard 4-2.11 Represent improper fractions,
mixed numbers, and decimals.
1. Find the GCF (Greatest Common Factor).
18
27
2. Make a fractional form of 1 using the GCF.
3. Divide the numerator and denominator by the
GCF’s fractional form of 1.