Embed Size (px)
DESCRIPTION
5-3 Adding and Subtracting Mixed Numbers Problem of the Day The sum of every row, column and diagonal is the same. Complete the magic square __ ___ __ __
Citation preview
5-3 Adding and Subtracting Mixed Numbers
Warm UpWarm Up
Lesson PresentationLesson PresentationProblem of the DayProblem of the Day
Lesson QuizzesLesson Quizzes
5-3 Adding and Subtracting Mixed Numbers
Warm UpAdd or subtract. Write each answer in simplest form.
1. 2.
3. 4.
112__ 31
33__
1112__ 7
12__
5-3 Adding and Subtracting Mixed Numbers
Problem of the DayThe sum of every row, column and diagonal is the same. Complete the magic square. 1
34__ 11
12___11 3
__
11 6__
121 1__
56__
23__ 1
4__1
5-3 Adding and Subtracting Mixed Numbers
Learn to add and subtract mixed numbers with unlike denominators.
5-3 Adding and Subtracting Mixed Numbers
Additional Example 1A: Adding and Subtracting Mixed Numbers
Find the sum. Write the answer in simplest form.18__ 5
6__
3 18__ 3 6
48__ Multiply the denominators.
8 · 6 = 48
+1 56__ + 1 40
48__
______ ______Write equivalent fractions with a denominator of 48.
4 = 44648__ 23
24__ Add the fractions and then
whole numbers, and simplify.
3 + 1
3 + 2 = 5 Estimate the sum.
4 is close to the estimate of 5. The answer is reasonable.4648__
5-3 Adding and Subtracting Mixed NumbersAdditional Example 1B: Adding and Subtracting Mixed
NumbersFind the difference. Write the answer in simplest form.
23__ 1
4__
5 23__ 5 8
12__ The LCD of 3 and 4 is 12.
–1 14__ – 1 3
12__
______ ______Write equivalent fractions with a denominator of 12.
4 512__ Subtract the fractions and
then the whole numbers.
5 – 1
6 – 1 = 5 Estimate the difference.
4 is close to the estimate 5. The answer is reasonable.512__
5-3 Adding and Subtracting Mixed NumbersAdditional Example 1C: Adding and Subtracting Mixed
NumbersFind the difference. Write the answer in simplest form.
23__ 2
9__
6 23__ 6 6
9__ Think: 9 is a multiple of 3, so 9
is the LCD. –3 2
9__ – 3 2
9__
______ ______Write equivalent fractions with a denominator of 9.
3 49__ Subtract the fractions and
then the whole numbers.
6 – 3
3 is close to the estimate 4. The answer is reasonable.
7 – 3 = 4 Estimate the difference.
49__
5-3 Adding and Subtracting Mixed Numbers
Check It Out: Example 1AFind the sum. Write the answer in simplest form.
14__ 1
6__
2 14__ 2 6
24__ Multiply the denominators.
4 · 6 = 24
+3 16__ + 3 4
24__
______ ______Write equivalent fractions with a denominator of 24.
5 = 51024__ 5
12__ Add the fractions and then
whole numbers, and simplify.
2 + 3
5 is close to the estimate 5. The answer is reasonable.512__
2 + 3 = 5 Estimate the sum.
5-3 Adding and Subtracting Mixed Numbers
Check It Out: Example 1BFind the difference. Write the answer in simplest form.
12__ 3
7__
4 12__ 4 7
14__ The LCD of 2 and 7 is 14.
–1 37__ – 1 6
14__
______ ______Write equivalent fractions with a denominator of 14.
3 114__ Subtract the fractions and
then the whole numbers.
4 – 1
3 is close to the estimate 3. The answer is reasonable.114__
5 – 2 = 3 Estimate the difference.
5-3 Adding and Subtracting Mixed Numbers
Check It Out: Example 1CFind the difference. Write the answer in simplest form.
34__ 1
8__
7 34__ 7 6
8__ Think: 8 is a multiple of 4, so 8
is the LCD.
–2 18__ – 2 1
8__
______ ______
Write equivalent fractions with a denominator of 8.
5 58__ Subtract the fractions and
then the whole numbers.
7 – 2
5 is close to the estimate 6. The answer is reasonable.
8 – 2 = 6 Estimate the difference.
58__
5-3 Adding and Subtracting Mixed Numbers
Additional Example 2: Measurement ApplicationThe length of Jen’s kitten’s body is 10 inches. Its tail is 5 inches long. What is the total length of its body and tail?
14__ 1
8__
10 14__ 10 2
8__ Find a common denominator. Write
equivalent fractions with the LCD, 8, as the denominator.
+5 18__ + 5 1
8__
______ ______Add the fractions and then the whole numbers. 15 3
8__
The total length of the kitten’s body and tail is 15 inches.
You can use mental math to find an LCD. Think: 8 is a multiple of 4 and 8.Helpful Hint
38__
14__ 1
8__Add 10 + 5
5-3 Adding and Subtracting Mixed Numbers
Check It Out: Example 2The length of Regina’s mouse’s body is 2 inches. Its tail is 2 inches long. What is the total length of its body and tail?
23__ 1
6__
2 23__ 2 4
6__ Find a common denominator. Write
equivalent fractions with the LCD, 6, as the denominator.
+2 16__ + 2 1
6__
______ ______
Add the fractions and then the whole numbers.
4 56__
The total length of the mouse’s body and tail is 4 inches.56__
23__ 1
6__ Add 2 +2 .
5-3 Adding and Subtracting Mixed Numbers
Standard Lesson Quiz
Lesson Quizzes
Lesson Quiz for Student Response Systems
5-3 Adding and Subtracting Mixed Numbers
Lesson QuizFind each sum or difference. Write the answer in simplest form.
1. 2.
3. 4.
5. Miles worked 5 hours on Friday and 8 hours on
Saturday. How many total hours did he work?
23__3
4__
3 14__ 16 13
24__
8 740__ 6 7
30__
14 hours512__
5-3 Adding and Subtracting Mixed Numbers
1. Identify the difference in the simplest form.
A. C.
B. D.
Lesson Quiz for Student Response Systems
5-3 Adding and Subtracting Mixed Numbers
2. Identify the sum in the simplest form.
A. C.
B. D.
Lesson Quiz for Student Response Systems
5-3 Adding and Subtracting Mixed Numbers
3. Identify the sum in the simplest form.
A. C.
B. D.
Lesson Quiz for Student Response Systems
5-3 Adding and Subtracting Mixed Numbers
4. Identify the difference in the simplest form.
A. C.
B. D.
Lesson Quiz for Student Response Systems
5-3 Adding and Subtracting Mixed Numbers
5. Shiloh bought pounds of bananas and pounds of apples. How many pounds
of fruits did she buy?
A. C.
B. D.
Lesson Quiz for Student Response Systems
