Lesson 20 - Grants Pass School District€¦ · Key B Basic M Medium C Challenge 212 Lesson 20 Fractions as Tenths and Hundredths ©Curriculum Associates, LLC Copying is not permitted

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Practice Lesson 20 Fractions as Tenths and Hundredths

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Key

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©Curriculum Associates, LLC Copying is not permitted.212 Lesson 20 Fractions as Tenths and Hundredths

Solve.

4 Shade the model below to show 2 ·· 3 . Then divide the

model to show 2 ·· 3 5 4 ·· 6 .

5 Look at problem 4. Explain how dividing the model

shows the equivalent fractions 2 ·· 3 5 4 ·· 6 .

6 Fill in the missing numbers to write equivalent fractions.

3 2

·· 2 5 2 ·· 4 3 3 5

8 ·· 12 3 2

5

10 ·· 16

7 Shade the model to show 1 ·· 2 . Then divide the model

to show 1 ·· 2 5 5

·· 10 .

8 Fill in the missing numbers to show that 1 ·· 2 5 5

·· 10 .

1 ·· 2 3 5 5

·· 10

212212 Lesson 20Lesson 20212

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B Possible dividing lines shown. Lines drawn should divide the model to show 6 equal parts and 4 parts shaded.

Possible explanation: When you divide the model, you have twice as

many equal parts and twice as many shaded parts. It is the same as

multiplying the numerator and denominator of 2 ·· 3 by 2 to find 4 ·· 6 .

Possible shading and dividing lines shown. Models should show a total of 10 equal parts with 5 parts shaded.

1 2 4 5 2

2 4 8

5

5

©Curriculum Associates, LLC Copying is not permitted. 211Lesson 20 Fractions as Tenths and Hundredths

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Prerequisite: Identify Equivalent Fractions

Study the example showing how to use a number line to find equivalent fractions. Then solve problems 1−8.

1 Look at the number lines in the example above. Write each equivalent fraction.

8 ·· 12 5 2 ·· 6 5

3 ·· 12 5 1 ·· 6 5

2 Write three fractions equivalent to 1 ·· 2 . Use the

number lines above to help you.

3 Fill in the missing numbers to fi nd fractions

equivalent to 5 ·· 4 .

5 ·· 4 3 2 5

8 5 ·· 4 3 5

16

5 ·· 4 3 10 ·· 10 5

40

Example

Find a fraction equivalent to 3 ·· 4 and a fraction equivalent to 5 ·· 6 .

0 114

24

34

0 116

26

36

46

56

0 1112

212

312

412

512

612

712

812

912

1012

1112

The number lines

show 3 ·· 4 5 9 ·· 12

and 5 ·· 6 5 10 ·· 12 .

Fractions as Tenths and Hundredths

Lesson 20

Vocabularyequivalent fractions two or more fractions

that name the same part

of a whole.

211211 Fractions as Tenths and Hundredths Fractions as Tenths and Hundredths 211

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2 ·· 4 , 3 ·· 6 ,

6 ··· 12

4 ·· 6 4 ··· 12

1 ·· 4 2 ··· 12

2 10 4 20 50

4

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Solve.

Mila has 100 math problems to finish this week.

She solved 2 ·· 10 of the problems on Monday and 25 ··· 100

of the problems on Tuesday.

5 Did Mila solve more problems on Monday or on

Tuesday? Explain.

Show your work.

Solution:

6 What fraction of the math problems for the week did Mila solve on Monday and Tuesday?

Show your work.

Solution:

7 Look at problem 6. Is the sum you found greater or less than 1 ·· 2 ? Explain.

8 Has Mila completed more than half of her math problems for the week? Explain.


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Possible explanation: Mila has not completed more than half of her math

problems. She has completed 45 ···· 100 of her math problems. 45 ···· 100 is less than

1 ·· 2 .

2 ··· 10 5 20

···· 100 20

···· 100 , 25

···· 100

20 ···· 100 1 25

···· 100 5 45

···· 100

Mila solved 45 ···· 100 of the math problems.

Possible explanation: The sum of 45 ···· 100 is less than 1 ·· 2 .

1 ·· 2 5 50

···· 100 and 45 ···· 100 ,

50 ···· 100 .

Possible answer: Mila solved more problems on Tuesday because 2 ··· 10 is the

same as 20 ···· 100 and 25 ···· 100 .

20 ···· 100 .


Name: Name: Name: Lesson 20

Add Tenths and Hundredths Fractions

Study the example problem showing how to add tenths and hundredths fractions. Then solve problems 1−8.

1 Write 2 ·· 10 as an equivalent fraction with a

denominator of 100.

2 ·· 10 5 1 2 3 10 ······· 10 3 10 2 5

2 Fill in the blanks to show how to fi nd the sum

of 2 ·· 10 and 10 ··· 100 .

100 1 10 ··· 100 5

3 Look at problem 2. 10 ··· 100 5 1

·· 10 . What is another way

that you could show the sum of 2 ·· 10 and 10 ··· 100 ?

4 Look at problems 2 and 3. Are the sums equivalent? Explain.

Example

Jaden found 8 ·· 10 of a dollar in change in his backpack.

He found 15 ··· 100 of a dollar in change in his lunch bag.

What fraction of a dollar in change did he find altogether?

Multiply to find the hundredths 8 ·· 10 5 1 8 3 10 ······· 10 3 10 2 5

80 ··· 100

fraction equivalent to 8 ·· 10 .

Add the hundredths fractions. 80 ··· 100 1 15 ··· 100 5

95 ··· 100

Jaden found 95 ··· 100 of a dollar in change.


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Yes. Possible explanation: You can write 3 ··· 10 as an equivalent fraction with a

denominator of 100. 3 ··· 10 5 30

···· 100

2 ··· 10 1 1

··· 10 5 3

··· 10

20

100

30

100

20

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6 Owen received $100 for his birthday. He wants to

spend 2 ·· 10 of his money on a video game. He wants

to spend 55 ··· 100 of his money on a skateboard. He

wants to spend 3 ·· 10 of his money on comic books.

What fraction of his birthday money does Owen

want to spend? Does he have enough money? Explain.

Show your work.

Solution:

Solve.

4 Tell whether each addition problem has a sum

greater than 1 ·· 2 .

a. 4 ·· 10 1 9 ··· 100 u Yes u No

b. 1 ··· 100 1 5 ·· 10 u Yes u No

c. 45 ··· 100 1 1 ·· 10 u Yes u No

d. 25 ··· 100 1 3 ·· 10 u Yes u No

e. 3 ·· 10 1 15 ··· 100 u Yes u No

5 Find the sum of 2 ··· 100 1 20

··· 100 1 2

·· 10 .

Show your work.

Solution:

What tenths and hundredths fractions are equivalent to 1 · 2 ?

Estimate the sum before solving this problem. Is the sum close to 1? Is it close to 1 · 2 ?

What fraction represents all the money that Owen received?


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Possible work: 2 ··· 10 5 20

···· 100

2 ···· 100 1 20

···· 100 1 20

···· 100 5 42

···· 100

Answers will vary. Possible answer: Owen wants to spend 105 ···· 100 of

his birthday money. He does not have enough money. He wants to spend

a fraction of his birthday money that is greater than 1.

2 ··· 10 5 20

···· 100 3 ··· 10 5

30 ···· 100

20 ···· 100 1 55

···· 100 1 30

···· 100 5 105

···· 100

42 ···· 100

3

3333


Name:

3 Which is greater, 6 ·· 10 or 6 ··· 100 ? Explain.

2 Sylvia has $100. She spent 4 ·· 10 of her money on a

jacket and 20 ··· 100 of her money on jeans. What fraction

of her money did Sylvia spend?

A 60 ··· 200 C 6 ·· 10

B 24 ··· 100 D 6 ·· 20

Josh chose B as the correct answer. How did he get that answer?

1 3 ·· 10 1 3 ··· 100 is equal to which of the following?

Circle the letter for all that apply.

A 33 ··· 100 D 30 ··· 100 1

3 ··· 100

B 6 ··· 100 E 3 ·· 10 1

3 ·· 10

C 60 ··· 100

Name: Name: Lesson 20

How many hundredths are in 3 tenths?

There is more than one way to solve this problem.

You can compare the numerators or draw a model to solve this problem.

Fractions as Tenths and Hundredths

Solve the problems.


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Possible explanation: He added the numerators 20 and 4 and used a

denominator of 100. He should have found an equivalent fraction with

the same denominator of either 10 or 100, then added the numerators.

Possible explanation: 6 ··· 10 . 6 ···· 100 because one

tenth is 10 times more than one hundredth.

Also, 6 ··· 10 5 60

···· 100 and 60 ···· 100 .

6 ···· 100 .

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Lesson 20 - Grants Pass School District€¦ · Key B Basic M Medium C Challenge 212 Lesson 20 Fractions as Tenths and Hundredths ©Curriculum Associates, LLC Copying is not permitted