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Name
Practice
6-3
Improper Fractions and
Mixed Numbers
1. Draw a picture to show _97 .
2. Draw a picture to show 3_45.
Check students’ drawings.
Write each improper fraction as a whole number or mixed number in
simplest form.
5
25
3. __
5
5_29
47
4. __
9
52
5. __
7
Write each mixed number as an improper fraction.
__
55
7. 13_34
5
8. 9_58
4
__
77
Practice 6-3
__
24
6. 4_45
7_37
8
__
32
9. Reasoning Write 8 as an improper fraction with a
denominator of 4.
4
Which letter on the number line corresponds to each number?
F
4
10. 5_25
A C
D
B
5
7
11. 4__
10
D
E
C
6
23
12. __
5
A
13. Which number does the picture show?
12
A __
8
B 2_18
C 2_14
20
D __
8
© Pearson Education, Inc. 6
14. Writing to Explain Can you express _99 as a mixed number? Why or
why not?
No, _99 can be expressed only as a
fraction or as a whole number (1).
Topic 6
35
Name
Reteaching
6-3
Improper Fractions and
Mixed Numbers
A mixed number combines a whole number with a fraction. It is greater
than one.
An improper fraction has a numerator that is larger than its
denominator.
How to Write an Improper Fraction
as a Mixed Number
The quotient is the
whole number in
the mixed number.
2
2
5
2
5 12
10
2
The remainder is the numerator.
The denominator stays the same.
Multiply the denominator
by the whole number.
3

2
5
5  3  15
Then add the numerator. 15  2  17
17
5
Write this number for the numerator.
Use the original denominator.
3
2
12
2
5
5
2
17

5
5
1. Draw a picture to show 4_23.
Write each improper fraction as a whole number or mixed number in
simplest form.
60
2. __
40
1_12
3
3__
10
30422_T08_8-3RT1
33
3. __
10
12
4. __
7
Write each mixed number as an improper fraction.
5. 4_13
__
13
3
20
6. 1__
50
__
70
50
8. Reasoning Write 6 as an improper fraction with a
denominator of 10.
30422_T08_8-3RT-1a
34
Topic 6
7. 8_78
1_57
__
71
8
__
60
10
© Pearson Education, Inc. 6
Reteaching 6-3
12
Write 5 as a mixed number.
Divide the numerator by the denominator.
How to Write a Mixed Number
as an Improper Fraction