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

Name:

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 find 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 .

©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

©Curriculum Associates, LLC Copying is not permitted. 213Lesson 20 Fractions as Tenths and Hundredths

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 find 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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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 .

©Curriculum Associates, LLC Copying is not permitted. 215Lesson 20 Fractions as Tenths and Hundredths

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

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.

©Curriculum Associates, LLC Copying is not permitted.216 Lesson 20 Fractions as Tenths and Hundredths

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?