1 / 18

Warm Up

Problem of the Day

Lesson Presentation

Lesson Quizzes

Warm Up Add or subtract. Write each answer in

simplest form. 1. 2. 3.

4.

Problem of the Day The sum of every row, column

and diagonal is the same. Complete the magic

square.

3

__

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

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.

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.

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.

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.

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.

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.

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.

Lesson Quizzes

Standard Lesson Quiz

Lesson Quiz for Student Response Systems

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

Lesson Quiz for Student Response Systems

1. Identify the difference in the simplest form.

A. C. B. D.

Lesson Quiz for Student Response Systems

2. Identify the sum in the simplest form. A.

C. B. D.

Lesson Quiz for Student Response Systems

3. Identify the sum in the simplest form. A.

C. B. D.

Lesson Quiz for Student Response Systems

4. Identify the difference in the simplest form.

A. C. B. D.

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.