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4-11 Adding and Subtracting Mixed Numbers
Course 2
Warm UpWarm Up
Problem of the DayProblem of the Day
Lesson PresentationLesson Presentation
Warm UpAdd or subtract.
1.
2.
3.
Course 2
4-11 Adding and Subtracting Mixed Numbers
38 4 8+
1112
– 712
23
–1
12
4. 13
+16
– 310
78
13
712
15
Problem of the Day
Which of these four expressions is the largest value?a. 13,579 + 1
2,468
b. 13,579 − 12,468
c. 13,579.2468
d. 13,579 ÷1
2,468
Course 2
4-11 Adding and Subtracting Mixed Numbers
Learn to add and subtract mixed numbers.
Course 2
4-11 Adding and Subtracting Mixed Numbers
Additional Example 1: Measurement Application
Kevin is 48 inches tall. His brother Keith is 538
58
inches taller. How tall is Keith ?
4838
+5 58
= 53 88
+ Add the integers and add the fractions.
= 53 + 1 Rewrite 88
as 1.
Kevin is 54 inches tall.
A mixed number is the sum of an integer and a fraction: 3 = 3 + .
Helpful Hint
45
45
Course 2
4-11 Adding and Subtracting Mixed Numbers
Try This: Example 1
Insert Lesson Title Here
Alvin weighs 72 lbs. His baby brother weighs 15 lbs. How much do they weigh together?
72 23
+ 15 13
= 87 33
+ Add the integers and add the fractions.
= 87 + 1 Rewrite 33
as 1.
Together they weigh 88 pounds.
231
3
Course 2
4-11 Adding and Subtracting Mixed Numbers
Add. Write the answer in simplest form.
Additional Example 2A: Adding Mixed Numbers
A. 9 23
+12 23
923
+1223
= 21 + 43
Add the integers and add the fractions.
= 21 + 1 13
Rewrite the improper fraction as a mixed number.
= 22 13
Course 2
4-11 Adding and Subtracting Mixed Numbers
Add. Write the answer in simplest form.
Additional Example 2B: Adding Mixed Numbers
B. 5 18
+ 356
518
+ 3 56
Find a common denominator.
= 8 + 2324
= 8 2324
Add the integers and add the fractions.
Add.
= 5 + 3 2024
3 24
Course 2
4-11 Adding and Subtracting Mixed Numbers
Add. Write the answer in simplest form.
Try This: Example 2A
A. 7 45
+10 25
7 45
+1025
= 17 + 65
Add the integers and add the fractions.
= 17 + 1 15
Rewrite the improper fraction as a mixed number.
= 18 15
Course 2
4-11 Adding and Subtracting Mixed Numbers
Add. Write the answer in simplest form.
Try This: Example 2B
B. 4 14
+ 438
414
+ 4 38
Find a common denominator.
= 8 + 58
= 8 58
Add the integers and add the fractions.
Add.
= 4 + 4 38
2 8
Course 2
4-11 Adding and Subtracting Mixed Numbers
Sometimes when you subtract mixed numbers,the fraction portion of the first number is less thanthe fraction portion of the second number. In thesecases, you must regroup before subtracting.
REGROUPING MIXED NUMBERS
WORDS NUMBERS
187 = 6 + 1 + 1
888
= 6 + + 18
= 6 98
Rewrite 1 as a fraction with a common denominator.
Regroup.
Add.
Course 2
4-11 Adding and Subtracting Mixed Numbers
Remember!
Any fraction in which the numerator and denominator are the same is equal to 1.
Course 2
4-11 Adding and Subtracting Mixed Numbers
Additional Example 3A: Subtracting Mixed Numbers
Subtract. Write the answer in simplest form.
Insert Lesson Title Here
A. 4 23
– 213
423
– 213
= 2 + 13
Subtract integers and subtract fractions.
= 213
Add.
Course 2
4-11 Adding and Subtracting Mixed Numbers
Additional Example 3B: Subtracting Mixed Numbers
Subtract. Write the answer in simplest form.
Insert Lesson Title Here
B. 12 89
– 8 23
1289
– 8 23
= 12 89
– 869
Find a common denominator.
= 4 + 29
= 4 29
Subtract integers and subtract fractions.
Add.
Course 2
4-11 Adding and Subtracting Mixed Numbers
Subtract. Write the answer in simplest form.
Additional Example 3C: Subtracting Mixed Numbers
C. 17 18
– 12 38
17 18
– 12 =38
16 98
– 12 38
= 4 + 68
Regroup 17 18
= 16+ 88+ 1
8.
Subtract integers and subtract fractions.
= 468
= 4 34
Add and simplify.
Course 2
4-11 Adding and Subtracting Mixed Numbers
Try This: Example 3A
Subtract. Write the answer in simplest form.
Insert Lesson Title Here
A. 3 45
– 215
345
– 215
= 1 + 35
Subtract integers and subtract fractions.
= 135
Add.
Course 2
4-11 Adding and Subtracting Mixed Numbers
Try This: Example 3B
Subtract. Write the answer in simplest form.
Insert Lesson Title Here
B. 10 78
– 4 34
1078
– 4 34
= 10 78
– 468
Find a common denominator.
= 6 + 18
= 6 18
Subtract integers and subtract fractions.
Add.
Course 2
4-11 Adding and Subtracting Mixed Numbers
Subtract. Write the answer in simplest form.
Try This: Example 3C
C. 14 14
– 10 34
14 14
– 10 =34
13 54
– 10 34
= 3 + 24
Regroup 14 14
= 13+ 44+ 1
4.
Subtract integers and subtract fractions.
= 324
= 3 12
Add and simplify.
Course 2
4-11 Adding and Subtracting Mixed Numbers
Lesson QuizAdd or subtract. Write each answer in simplest form.
1. 5
2. 9
3. 7
4. 10
Insert Lesson Title Here
14
+516
23
+ 10 712
78
– 2 34
29
– 4 56
5. A single roll of wallpaper unrolls to 15 yards 12
you hang 13 yards from the roll. How much78
wallpaper remains?
105
12
2014
518
5 718
1 yards58
Course 2
4-11 Adding and Subtracting Mixed Numbers
