Multi-Part Lesson
7-4
Fractions, Decimals, and Percents
PART
A
Main Idea
I will relate fractions,
decimals, and percents.
NGSSS
MA.4.A.6.5 Relate
halves, fourths,
tenths, and hundredths to
decimals and percents.
B
C
D
E
Fractions, Decimals,
and Percents
The Key Concept box shows you how fractions, decimals, and
percents are related.
Fractions, Decimals, and Percents
macmillanmh.com
Symbols
36%
Model
Words
thirty-six out of one hundred
Fraction
36
_
Decimal
0.36
100
The United States Post Office
4
handles about
of the world’s
10
mail. Use words, decimals, and
4
percents to represent
.
_
_
4
The model shows _ .
10
10
Words
forty out of one hundred
Symbols 40%
40
4
2
Fractions _ or _ or _
100
10
5
Decimals 0.40 or 0.4
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Chapter 7 Relate Fractions, Decimals, and Percents
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Identify a Percent
Use words, symbols, and fractions
to represent the shaded part of
the model.
To simplify a fraction,
divide the numerator
and denominator by
the same number.
2
8 ÷4 =_
_
25
100 ÷ 4
The model has eight out of
one hundred squares shaded.
Words
eight out of one hundred
Symbols 8%
8
2
Fractions _ = _
100
25
1
Use decimals and a percent to represent _.
5
20
20
1
_
×_=_
5
20
100
Decimals 0.2 and 0.20
Percent
20%
Use words, decimals, and percents to represent each
fraction. See Examples 1 and 3 (pp. 358–359)
91
1. _
74
2. _
19
3. _
7
4. _
1
5. _
3
6. _
100
100
100
100
20
7. Use words, symbols, fractions, and
decimals to represent the shaded
part of the model. See Example 2 (p. 359)
25
8.
The results of a survey
show that 45% of a group prefer movies
to television shows. Does this mean that
100 people were surveyed? Explain.
Lesson 7-4 Fractions, Decimals, and Percents 359
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EXTRA
%
)# E
# T4 IC
!C
2A
0R
P
See page R23.
Use words, decimals, and percents to represent each
fraction. See Examples 1 and 3 (pp. 358–359)
83
9. _
67
10. _
42
11. _
38
12. _
24
13. _
17
14. _
6
15. _
4
16. _
3
17. _
7
18. _
3
19. _
7
20. _
100
100
100
100
100
100
100
20
100
4
50
10
Use words, symbols, fractions, and decimals to represent the
shaded part of each model. See Example 2 (p. 359)
21.
22.
24. Water expands by 9% as it freezes.
Use words, fractions, and decimals to
represent 9%.
23.
25. A weather forecaster is accurate
seventy-five percent of the time. Use
words, symbols, fractions, and
decimals to represent seventy-five
percent.
26. NUMBER SENSE Draw a model to show that 7% is not the same
as 0.7.
27. OPEN ENDED Copy and complete percent = 0. = _ .
25
1
28. CHALLENGE Write _ as a decimal and a percent.
1,000
29.
Explain how to write 47% as a fraction and
a decimal.
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Chapter 7 Relate Fractions, Decimals, and Percents
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NGSSS Practice
MA.3.A.2.3, MA.4.A.6.5
30. Dominic made a pie chart to show
how much time he spends on each
homework subject.
Homework
Science
Reading
31. Haley divided a paper into equal
parts. Each part represents 20% of
the paper. Which paper did Haley
divide?
F.
14% 18%
Writing
27%
Math
21%
18%
G.
Social Studies
What two subjects take Dominic
the same amount of time to
complete?
A. Science and Reading
H.
B. Writing and Math
C. Social Studies and Science
D. Reading and Social Studies
I.
32. About 10% of the world’s population lives on islands. What
decimal represents the part of the world’s population that
does NOT live on islands? Use any strategy to solve. (Lesson 7-3C)
Write each decimal as a percent. (Lesson 7-3B)
33. 0.5
34. 0.2
35. 0.7
36. A recipe calls for 4 _ cups of flour. What is the decimal equivalent? (Lesson 6-3C)
4
5
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