Warm Up

1
Warm Up
Problem of the Day
Lesson Presentation
Lesson Quizzes
2
Warm Up Add or subtract. Write each answer in
simplest form. 1. 2. 3.
4.
3
Problem of the Day The sum of every row, column
and diagonal is the same. Complete the magic
square.
3
__
4
4
Additional Example 1A Adding and Subtracting
Mixed Numbers Find the sum. Write the answer in
simplest form.
3 1
Estimate the sum. Round each fraction to the
nearest whole.
3 2 5
Multiply the denominators. 8 6 48
3
3
Write equivalent fractions with a common
denominator of 48.
1
1
______ ______
Add the fractions and then the whole numbers, and
simplify.
4 4
5
Additional Example 1B Adding and Subtracting
Mixed Numbers Find the difference. Write the
answer in simplest form.
5 1
6 1 5
Estimate the difference.
The LCD of 3 and 4 is 12.
5
5
Write equivalent fractions with a common
denominator of 12.
1
1
______ ______
Subtract the fractions and then the whole
numbers.
4
4 is close to the estimate 5. The answer is
reasonable.
6
Additional Example 1C Adding and Subtracting
Mixed Numbers Find the difference. Write the
answer in simplest form.
6 3
7 3 4
Estimate the difference.
Think 9 is a multiple of 3, so 9 is the LCD.

6
6
Write equivalent fractions with a denominator of
9.
3
3
______ ______
Subtract the fractions and then the whole
numbers.
3
3 is close to the estimate 4. The answer is
reasonable.
7
Check It Out Example 1A Find the sum. Write the
answer in simplest form.
2 3
Estimate the sum. Round each fraction to the
nearest whole.
2 3 5
Multiply the denominators. 4 6 24
2
2
Write equivalent fractions with a common
denominator of 24.
3
3
______ ______
Add the fractions and then the whole numbers, and
simplify.
5 5
5 is close to the estimate 5. The answer is
reasonable.
8
Check It Out Example 1B Find the difference.
Write the answer in simplest form.
4 1
5 2 3
Estimate the difference.
4
4
The LCD of 2 and 7 is 14.
Write equivalent fractions with a common
denominator of 14.
1
1
______ ______
Subtract the fractions and then the whole
numbers.
3
3 is close to the estimate 3. The answer is
reasonable.
9
Check It Out Example 1C Find the difference.
Write the answer in simplest form.
7 2
8 2 6
Estimate the difference.
Think 8 is a multiple of 4, so 8 is the LCD.

7
7
Write equivalent fractions with a common
denominator of 8.
2
2
______ ______
Subtract the fractions and then the whole
numbers.
5
5 is close to the estimate 6. The answer is
reasonable.
10
Additional Example 2 Measurement Application The
length of Jens kittens body is 10 inches.
Its tail is 5 inches long. What is the total
length of its body and tail?
Find a common denominator. Write equivalent
fractions with the LCD, 8, as the denominator.

10
10
5
5
______ ______
Add the fractions and then the whole numbers.

15
The total length of the kittens body and tail is
15 inches.
11
Check It Out Example 2 The length of Reginas
mouses body is 2 inches. Its tail is 2
inches long. What is the total length of its
body and tail?
Find a common denominator. Write equivalent
fractions with the LCD, 6, as the denominator.

2
2
2
2
______ ______
Add the fractions and then the whole numbers.

4
The total length of the mouses body and tail is
4 inches.
12
Lesson Quizzes
Standard Lesson Quiz
Lesson Quiz for Student Response Systems
13
Lesson Quiz
Find 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?
3
2
__
__
3
4
14 hours
14
Lesson Quiz for Student Response Systems
1. Identify the difference in the simplest form.
A. C. B. D.
15
Lesson Quiz for Student Response Systems
2. Identify the sum in the simplest form. A.
C. B. D.
16
Lesson Quiz for Student Response Systems
3. Identify the sum in the simplest form. A.
C. B. D.
17
Lesson Quiz for Student Response Systems
4. Identify the difference in the simplest form.
A. C. B. D.
18
Lesson Quiz for Student Response Systems
5. Shiloh bought pounds of bananas and
pounds of apples. How many pounds of fruits did
she buy? A. C. B. D.