Download Addition with Unlike Denominators

Lesson 6.1
Reteach
Name
Addition with Unlike
Denominators
Karen is stringing a necklace with beads. She puts green beads on
1
3
_ of the string and purple beads on __
2
10 of the string. How much of
the string does Karen cover with beads?
You can use fraction strips to help you add fractions with
unlike denominators. Trade fraction strips of fractions with unlike
denominators for equivalent strips of fractions with like denominators.
Use fraction strips to find the sum. Write your answer in
simplest form.
1
3
_ 1 __
2 10
Step 1
Use a 1_2 strip and three
1
__
10 strips to model fractions
with unlike denominators.
Step 2
Trade the 1_2 strip for
1
five __
10 strips.
3 5 __
5 1 __
3
1 1 __
_
Step 3
sum
2 10 10 10
Add the fractions with
like denominators.
3 5 __
8
5 1 __
__
Step 4
10 10 10
Write the answer in simplest form.
8 54
__
_
10 5
_ of the string with beads.
So, Karen covers 4
5
Use fraction strips to find the sum. Write your answer in
simplest form.
3
1 __
8 4
3
1. __
Reteach
© Houghton Mifflin Harcourt Publishing Company
1
1 __
3 4
7
1 ___
6 12
2
2. __
5
3. __
R50
Grade 5
Lesson 6.2
Reteach
Name
Subtraction with Unlike
Denominators
You can use fraction strips to help you subtract fractions with unlike
denominators. Trade fraction strips of fractions with unlike denominators
for equivalent strips of fractions with like denominators.
Use fraction strips to find the difference. Write your answer in
simplest form.
1 2 __
1
_
2 10
Step 1
Use a 1_2 fraction strip to
model the first fraction.
Step 2
Trade the 1_2 strip for
1
five __
10 strips.
5 2 __
1 5 __
1
1 2 __
_
2
Step 3
10
10
10
Subtract by taking
1
away __
10 .
5 2 __
1 5 __
4
__
10 10 10
1 5 __
4 . Written in simplest form, __
4 52
_ 2 __
_.
So, 1
2 10 10
10 5
Use fraction strips to find the difference. Write your answer in
simplest form.
7
1. __
__
21
8 2
2
2. __
__
__ 2 1
4. 1
9
5. ___
2
3
Reteach
© Houghton Mifflin Harcourt Publishing Company
5
3. __
__
21
3 4
10
1
2 __
6 3
4
2 __
5
2
6. __
3
R51
5
2 ___
12
Grade 5
Lesson 6.3
Reteach
Name
Estimate Fraction Sums
and Differences
You can round fractions to 0, to 1_2 , or to 1 to estimate sums
and differences.
41_
1
Estimate the sum. _
6 9
0
6
Find 4_6 on the number line.
Is it closest to 0, 1_2 , or 1?
The fraction 4_6 is closest to 1_2 .
Step 1
0
9
3
6
4
6
5
6
6
6
1
1
2
1
9
2
9
3
9
4
9
0
To estimate the sum 4_6 1 1_9 ,
add the two rounded numbers.
Step 3
2
6
0
Find 1_9 on the number line.
Is it closest to 0, 1_2 , or 1?
The fraction 1_9 is closest to 0.
Step 2
1
6
5
9
6
9
7
9
8
9
9
9
1
1
2
1
_1051
_
2
2
1 is about 1
41_
_.
So, _
6 9
2
Estimate the sum or difference.
0
6
0
1
6
2
6
3
6
1
2
4
6
5
6
6
6
0
8
1
0
5
8
6
8
7
8
8
8
1
1
2
3
2 __
6 8
1
6. __
7
5. __
Reteach
4
8
__
25
8 6
3
1 __
6 8
© Houghton Mifflin Harcourt Publishing Company
3
8
5
3. __
2
2. __
4
4. __
2
8
__
17
6 8
1
1 __
6 8
4
1. __
1
8
7
1 __
6 8
R52
Grade 5