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©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 .
©Curriculum Associates, LLC Copying is not permitted.214 Lesson 20 Fractions as Tenths and Hundredths
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?