-4
4 in simplest form by
Write __
12
dividing twice.
Fractions in Simplest Form
How do you write a fraction in simplest form?
�
4 of the way around
Jason ran __
plain different
ions of
or example,
whole, parts
d division
umbers by
bers; explain
e of fractions
4
__
12
4 in simplest form.
the track. Write __
12
12
Since 4 is a factor of 12, it is
a common factor of 4 and 12.
4 of the way
___
12
around the track
A fraction is in simplest form when the numerator
and denominator have no common factor other than 1.
2
__
6
Guided
Practice*
• Other than 4, what
factors
do 4 and 12 share?
o you know HOW?
Do you UNDERSTAND?
4 ​a fraction in simplest form?
• Is ​ __
12
r 1 through 6, write each fraction in
7. Writing to Explain Explain how
mplest form. • How do you know?
you can tell __49 is in simplest form.
. __68
15
2. __
45
10
. ___
100
16
4. __
80
21
. __
33
12
6. __
14
2
�
2
�
11. __48
12
12. __
16
13. __46
. __25
15. __26
3
16. __
16
8
17. __
10
5
18. __
12
. __37
8
20. __
20
9
21. __
10
9
22. __
15
12
23. __
20
. __5
25. __3
15
26. __
30
27. __
30
28. __
. __23
7
30. __
14
9
31. __
16
4
32. __
12
5
33. __
15
18
40
38.
3
4
4 = __
1.
In simplest form, __
12 3
• Why would you simplify fractions
using
the way inAbout
Panelwhat
3 rather
than
35.
Estimation
fraction
of
the this
waymodel
shown
in
Panel
2?
is red?
Weekly Band Log
Band
Member
Lessons
(Hours)
Practice
(Hours)
Will
1.5
1
Kaitlyn
1
3.5
Madison
0.75
1.75
Ryan
1.5
1.25
Kirk
1.25
4
Gina
1
0.75
39. The year 2005 was a record year for
panda births. In that year, 16 pandas
were born in captivity. If a total of 180
pandas are living in captivity, what
fraction of pandas were born in 2005?
Write your answer in simplest form.
C Compare fraction strips for fourths
and eighths
D Compare fraction strips for eighths
and halves
Lesson 9-4
*For another example, see Set C on page 248.
Lesson 10-5, pages 228–229 235
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31217_035-071_FSD.indd 67
Which of the
following helps you find the simplest
form of __48?
B Divide 4 by 8
35
1
__
2
A Subtract 4 from 8
Animated Glossary
www.pearsonsuccessnet.com
.indd 234
3
37. What fraction of the band members
spend more time on lessons than
on practice? Write your answer in
simplest form.
2
10. __
10
9
1
__
2 and 6 are both
even. Two is a
common factor.
4
�
12
�
36. What fraction of the band members
practice for more than 2 hours a week?
Write your answer in simplest form.
If the numerator and denominator
are even numbers, they have 2 as a
common factor.
3
. __
12
4
__
4 and 12 are both
even. Two is a
common factor.
Use the table at the right for 36 and 37.
Independent Practice
6
6
the denominator of a fraction are
both prime numbers and not equal
to each other, can the fraction be
simplified?
9 through 33, write each fraction in simplest form.
t is in simplest form, write simplest form.
4
�
2
__
Problem Solving
• Why
do you divide to find simplest
form,
rather than
multiply?
34. Reasoning
If the
numerator and
8
8. Jamal ran __
of the way around
12
a track. Write this fraction in
simplest form.
�
2
�
�
4 in simplest form by
Write __
12
dividing by 4.
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son
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