Multi-Part Lesson
7-4
Fractions, Decimals, and Percents
PART
A
B
Main Idea
Fractions, Decimals,
and Percents
I will explore the
relationship between
fractions, decimals, and
percents.
Fractions, decimals, and percents are related. They can all
represent the same amount. A percent compares a number to
100, just as a fraction compares a part to a whole.
NGSSS
25%
75%
100%
MA.4.A.6.5 Relate
halves, fourths,
tenths, and hundredths to
decimals and percents.
Review Vocabulary
fraction
macmillanmh.com
25 out of 100
75 out of 100
100 out of 100
25
_
= 0.25
100
75
_
= 0.75
100
100
_
= 1 = 1.0
Model
100
_1 . Then write it as a percent and a decimal.
2
Step 1
Shade the model.
Determine how many
parts on a hundreds grid
should be shaded
1
to represent _. Then shade.
2
Step 2
One half of 100 is 50.
50%
Write the fraction as a
percent and a decimal.
Use the number of shaded
1
squares to write _ as a
2
percent and decimal.
50 out of 100
50
1
So, _ = _ = 50% = 0.50 = 0.5.
2
356
100
Chapter 7 Relate Fractions, Decimals, and Percents
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Model 0.25. Then write it as a fraction and a percent.
Use a hundreds grid to shade 25 out of 100 parts.
The model shows that 0.25 is equivalent to _
4
and 25%.
1
25 out of 100
Model 10%. Then write it as a fraction and a decimal.
Use a hundreds grid to shade 10 out of 100 parts.
The model shows that 10% is equivalent to
10
_
and 0.10.
100
10 out of 100
About It
1. Draw a hundredths model to represent 0.3 and 0.28.
2. Which model contains more shaded squares? Explain.
40
3. Write two decimals that are equivalent to _.
100
and Apply It
Model each number. Then write as a fraction, decimal, and
percent.
3
4. _
4
5. 0.18
6. 40%
Write a fraction, decimal, and percent for each shaded part.
7.
8.
10.
9.
Explain how to model nine hundredths
with a hundredths grid.
Lesson 7-4 Fractions, Decimals, and Percents 357
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