Reteaching
Name
10-5
More Adding and Subtracting
Mixed Numbers
You can use what you know about adding and subtracting
with mixed numbers when you simplify expressions with mixed
numbers.
(  8
)
1 ​ ​– 2​ __
1 ​.
​ 1 ​+ 6​ __
Simplify ​4__
4
2
Step 1 Add the mixed numbers in
parentheses first. Find a
common denominator.
1 ​+ 6​ __
1 ​
4​ __
8
4
3
1 ​+ 6​ __
2 ​= 10​ __
4​ __
 ​
8
1 ​from the sum
Step 2 Subtract 2​ __
2
you found. Find a common
denominator.
8
8
3
1 ​
10​ __
 ​– 2​ __
8
2
3
4 ​
10​ __
 ​– 2​ __
8
8
4 ​from __
​ 3 ​.
You can’t subtract ​ __
8
8
11  ​– 2​ __
4 ​= 7​ __
7 ​
9​ ___
Step 3 Rename if possible.
8
8
8
In 1 through 9, simplify each expression. Remember to rename
mixed numbers if possible.
( 
)
(  2
)
(  4
)
3
6
3
5
9
4 ​+ 2​ ___
1 ​ 3. 10​ ___
   ​ ​– 2​ ___  ​
 
2. ​5__
​ 1 ​+ 2​ __
 ​ ​– 3​ __
  ​ – ​5__
​ 1 ​+ 2​ ___
  ​  ​
1.​12​ __
7
14
14
4
2
16
(  8
)
16
6
3
3
4   ​+ 1​ ___
1 ​ 6. ​3__
1 ​ ​+ 1​ __
7 ​
 ​+ ___
​ 5   ​+ 1​ __
 ​ 5. 1​ ___
  ​ + 1​ __
​ 3 ​– 1​ __
4.​ __
5
5
9
18
6
10
(  8
20
)
8
3
20
3
3
2   ​+ __
1 ​ ​– 1​ ___
1 ​+ 7​ ___
​ 1 ​+ 7​ __
 ​ 8. ​1__
​ 5 ​+ 3​ __
  ​ 9. 5​ __
  ​ + 1​ __ ​
7. 1​ ___
12
6
4
4
24
4
20
4
7 ​days working on her English paper, 3​ __
1 ​days
10. Suzy spent 6​ __
8
6
1
__
doing her science project, and 1​   ​days studying for her
2
math test. How many more days did Suzy spend on her
English paper and math test than on her science project?
R 10•5
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Practice
Name
10-5
More Adding and Subtracting
Mixed Numbers
In 1 through 13, simplify each expression.
1 ​+ 4​ __
2 ​
1. 2​ __
8
5
1 ​– 6​ __
3. 8​ __
 ​
1 ​– 3​ __
2 ​
2. 9​ __
3
6
(  2 3 ) 6
5
3
1 ​– 5​ __
 ​ ​– 1​ __ ​
8.​( 10​ __
4
8)
8
5
3
​ 2 ​+ 4​ __
 ​ ​+ 3​ __ ​
11.​( 2__
3
6)
8
9
( 
5
2 ​ ​– 3​ __
​ 1 ​+ 8​ __
 ​
5.​3__
4
)
3
4 ​+ 5​ ___
4. 6​ __
  ​ 
5
8
10
(  2 8 )
3
4 ​+ 5​ __
7 ​ ​
10. 25​ __
 ​– ​ 10​ __
8 ( 5
8)
2 ​+ ​ 5__
13. 7​ __
( ​ 16 ​– 1​ __95 ​ )​
3
5
1 ​– 4​ __
7  ​ 
6.​14​ __
 ​ ​+ 1​ ___
6
9
7   ​+ ​3__
7 ​ ​
7. 7​ ___
​ 1 ​+ 1​ __
18
12
3
2 ​– 5​ ___
2  ​ 
9. 100​ ___
  ​ – 60​ __
10
( 
3
15
)
5
1 ​+ 4​ __
1 ​ ​– 19​ __
12. ​ 30​ __
 ​
9
3
6
14. Which shows three mixed numbers that have sum of 10?
5
3
2 ​+ 3​ ___
   ​+ 4​ __ ​
A 1​ __
3
1 ​+ 1​ __
1 ​
C 2​ __
 ​+ 5​ __
5
1 ​+ 3​ __
1 ​+ 3​ ___
  ​
 
B 3​ __
1 ​+ 1​ __
7 ​+ 3​ __
7 ​
D 5​ __
3
3
12
4
4
12
8
2
4
4
8
8
1 ​+ 3​ __
2 ​+ 5​ __
1 ​?
15. What is a reasonable estimate for the sum of 4​ __
8
3
2
16. Veronica is buying cubed cheese from Mr. Sand’s deli.
3
 ​pounds. When Mr. Sand places some
She asks for 1​ __
4
cheese in a container and weighs it, the scale shows
1 ​pounds. The container weighs ___
​ 1   ​pound. How many
1​ __
4
16
more pounds of cheese would Mr. Sand need to add to
the scale to get the amount that Veronica asked for?
Explain how you solved the problem.
P 10•5
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