1.5 Convert Between Improper
Fractions and Mixed Numbers
Common Core Standards
7.RP.2. Recognize and represent proportional
relationships between quantities.
a. Decide whether two quantities are in a proportional
relationship, e.g., by testing for equivalent ratios in a
table or graphing on a coordinate plane and observing
whether the graph is a straight line through the origin.
WARM-UP
Simplify the fractions.
1) 8
10
10
2)
8
3)
6
21
21
6
5)
8
8
4)
6) 16
8
Convert Between Improper Fractions
and Mixed Numbers
How can we describe how much pizza we have left?
NOTES
Proper Fractions are less than 1.
Improper Fractions are equal to or greater than 1.
Concept Check
Copy the improper fractions.
1
10
5
10
10
10
13
10
20
10
NOTES
To convert an improper fraction to a mixed number
divide the top by the bottom. The remainder is the
numerator of the fraction part.
Examples
Change the improper fractions to mixed numbers.
7
4
14
5
8
3
NOTES
You always need to simplify. Whole numbers do not
stay over 1.
Examples
Change the improper fractions to mixed or whole
number.
14
10
9
6
24
6
28
28
EXAMPLES
Convert the improper fraction shown to a mixed
number and reduce to simplest form.
0
1
8
6
12
6
3 19
6
4
EXAMPLES
Describe the amount of pizza (with 8 slices each) as
both an improper fraction and a mixed number.
Describe the amount of pizza (with 8 slices each) as
both an improper fraction and a mixed number.
EXAMPLES
26
Which lengths are equivalent to
in ?
8
Choose all that apply.
2
3 in
8
13
in
4
1
3 in
4
PRACTICE
Change the improper fractions to mixed or whole
numbers.
22
7
31
4
54
6
34
10
PRACTICE
Convert the improper fraction shown to a mixed
number and reduce to simplest form.
0
1
15
10
2 22
10
3
4
FINAL QUESTION
Describe the amount of pizza (with 8 slices each) as
both an improper fraction and a mixed number.