This document provides instruction on adding and subtracting mixed numbers. It includes examples of adding and subtracting mixed numbers, as well as checking student work. It also includes a video and additional example using measurement to practice adding mixed numbers in a real world context. Finally, it ends with a three question lesson quiz to assess understanding.

1. 5-3 Adding and Subtracting Mixed Numbers
Adding and Subtracting
Mixed Numbers
Course 1

2. 5-3 Adding and Subtracting Mixed Numbers
What you will need:
* Composition book
* Pencil or pen
Course 1

3. 5-3 Adding and Subtracting Mixed Numbers
What do you need to do!
* You are required to take notes on each lesson in your
composition book, just like if we were in class.
* On the sample problem's you will need to pause to
work the problem out, then resume to see it worked
out and check your answer.
* At the end of each lesson there are a few problems
you will need to do in your notes and bring into class.
* You will receive a homework grade for taking notes
and doing the practice problems.
Course 1

4. 5-3 Adding and Subtracting Mixed Numbers
Additional Example 1A: Adding and Subtracting
Mixed Numbers
Find the sum. Write the answer in simplest form.
1 5
3 __ + 1 __
8 6
Course 1

5. 5-3 Adding and Subtracting Mixed Numbers
Additional Example 1A: Adding and Subtracting
Mixed Numbers
Find the sum. Write the answer in simplest form.
1 5
3 __ + 1 __
8 6
1 6 Multiply the denominators.
3 __ 3 __
8 48 8 · 6 = 48
5 40
+1 __ + 1 __ Write equivalent fractions
6
______ 48
______ with a denominator of 48.
46 23
4 __ = 4 __ Add the fractions and then
48 24 whole numbers, and simplify.
Course 1

6. 5-3 Adding and Subtracting Mixed Numbers
Additional Example 1B: Adding and Subtracting
Mixed Numbers
Find the difference. Write the answer in simplest form.
2 1
5 __ – 1 __
3 4
Course 1

7. 5-3 Adding and Subtracting Mixed Numbers
Additional Example 1B: Adding and Subtracting
Mixed Numbers
Find the difference. Write the answer in simplest form.
2 1
5 __ – 1 __
3 4
2 8
5 __ 5 __ The LCD of 3 and 12 is 12.
3 12
1 3
–1 __ – 1 __ Write equivalent fractions
4
______ 12
______ with a denominator of 12.
5 Subtract the fractions and
4 __
12 then the whole numbers.
Course 1

8. 5-3 Adding and Subtracting Mixed Numbers
Check It Out: Example 1B
Find the difference. Write the answer in simplest form.
1 3
4 __ – 1__
2 7
Course 1

9. 5-3 Adding and Subtracting Mixed Numbers
Check It Out: Example 1B
Find the difference. Write the answer in simplest form.
1 3
4 __ – 1__
2 7
1 7
4 __ 4 __ The LCD of 2 and 7 is 14.
2 14
3 6
–1 __ – 1 __ Write equivalent fractions
7
______ 14
______ with a denominator of 14.
1 Subtract the fractions and
3 __
14 then the whole numbers.
Course 1

10. 5-3 Adding and Subtracting Mixed Numbers
Check It Out: Example 1C
Find the sum. Write the answer in simplest form.
7
__ 2
2 + 4 __
8 3
Course 1

11. 5-3 Adding and Subtracting Mixed Numbers
Check It Out: Example 1C
Find the sum. Write the answer in simplest form.
7
__ 2
2 + 4 __
8 3
7 21
2 __ 2 __ The LCD of the denominators is
8 24
24.
2 16
+4 __ + 4 __ Write equivalent fractions
3
______ 24
______ with a denominator of 24.
37 13 Add the fractions and then
6 __ = 7 __
24 24 the whole numbers, and
simplify. 6 37 = 6 + 1 13
__ __
24 24
Course 1

12. 5-3 Adding and Subtracting Mixed Numbers
VIDEO
IPAD users can download iswifter app to view
the video. It is free. :)
Course 1

13. 5-3 Adding and Subtracting Mixed Numbers
Additional Example 2: Measurement Application
1
__ 1
__
The length of Jen’s kitten’s body is 10 inches. Its tail is 5
4 8
inches long. What is the total length of its body and tail?
1 1
Add 10 __ + 5 __
4 8
Helpful Hint
You can use mental math to find an LCD. Think: 8 is a multiple of 4 and 8.
Course 1

14. 5-3 Adding and Subtracting Mixed Numbers
Additional Example 2: Measurement Application
1
__ 1
__
The length of Jen’s kitten’s body is 10 inches. Its tail is 5
4 8
inches long. What is the total length of its body and tail?
1 1
Add 10 __ + 5 __
4 8
1 2 Find a common denominator. Write
10 __ 10 __ equivalent fractions with the LCD, 8,
4 8
1 1 as the denominator.
+5 __ + 5 __
8
______ 8
______
3 Add the fractions and then the
15 __ whole numbers.
8
3
The total length of the kitten’s body and tail is 15 __ inches.
8
Course 1

15. 5-3 Adding and Subtracting Mixed Numbers
Lesson Quiz
Find each sum or difference. Write the answer in
simplest form.
1. 7 11 – 4 __
__ 2
12 3
7
__ 3
__
2. 6 +1
8 10
3
__ 2
3. Miles worked 5 hours on Friday and 8 __ hours on
4 3
Saturday. How many total hours did he work?
Course 1