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# 4-11 - PowerPoint PPT Presentation

Adding and Subtracting Mixed Numbers. 4-11. Course 2. Warm Up. Problem of the Day. Lesson Presentation. 4-11. Adding and Subtracting Mixed Numbers. Course 2. Warm Up Add or subtract. 1. 2. 3. 3 8. 4 8. 7 8. +. 7 12. 11 12. 1 3. –. 1 12. 7 12. 2 3.

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Presentation Transcript

4-11

Course 2

Warm Up

Problem of the Day

Lesson Presentation

4-11

Course 2

Warm Up

1.

2.

3.

3

8

4

8

7

8

+

7

12

11

12

1

3

1

12

7

12

2

3

1

3

1

6

3

10

1

5

4.

+

4-11

Course 2

Problem of the Day

Which of these four expressions is the largest value?

a. 13,579 +

1

2,468

1

b. 13,579

2,468

c. 13,579.2468

1

÷

d. 13,579

2,468

4-11

Course 2

Learn to add and subtract mixed numbers.

4-11

A mixed number is the sum of an integer and a fraction: 3 = 3 + .

Course 2

3

8

5

8

Kevin is 48 inches tall. His brother Keith is 5

inches taller. How tall is Keith ?

8

8

3

8

5

8

+

5

48

+

=

53

8

8

53 + 1

=

Rewrite

as 1.

Kevin is 54 inches tall.

4

5

4

5

4-11

Course 2

Insert Lesson Title Here

Try This: Example 1

2

3

Alvin weighs 72 lbs. His baby brother weighs 15 lbs. How much do they weigh together?

1

3

3

3

2

3

+

1

3

15

72

87

+

=

3

3

as 1.

87 + 1

Rewrite

=

Together they weigh 88 pounds.

4-11

4

3

2

3

2

3

9

=

12

21 +

+

1

3

= 21 + 1

1

3

=

22

Course 2

2

3

2

3

A. 9

+

12

Rewrite the improper fraction as a mixed number.

4-11

3

24

1

8

20

24

5

6

+ 3

5

= 5 + 3

23

24

= 8 +

23

24

= 8

Course 2

1

8

5

6

B. 5

+

3

Find a common denominator.

4-11

6

5

4

5

2

5

7

=

10

17 +

+

1

5

= 17 + 1

1

5

=

18

Course 2

Try This: Example 2A

4

5

2

5

A. 7

+

10

Rewrite the improper fraction as a mixed number.

4-11

2

8

1

4

3

8

3

8

+ 4

4

= 4 + 4

5

8

= 8 +

5

8

= 8

Course 2

Try This: Example 2B

1

4

3

8

B. 4

+

4

Find a common denominator.

4-11

1

8

1

8

= 6 + 1 +

7

1

8

8

8

+

= 6 +

9

8

= 6

Course 2

Sometimes when you subtract mixed numbers,

the fraction portion of the first number is less than

the fraction portion of the second number. In these

cases, you must regroup before subtracting.

REGROUPING MIXED NUMBERS

WORDS

NUMBERS

Regroup.

Rewrite 1 as a fraction with a common denominator.

4-11

Remember!

Any fraction in which the numerator and denominator are the same is equal to 1.

Course 2

4-11

2

3

1

3

1

3

=

4

2

2 +

=

1

3

2

Course 2

Insert Lesson Title Here

Additional Example 3A: Subtracting Mixed Numbers

Subtract. Write the answer in simplest form.

1

3

2

3

2

A. 4

Subtract integers and subtract fractions.

4-11

8

9

6

9

8

9

2

3

=

8

12

12

8

2

9

=

4 +

2

9

= 4

Course 2

Insert Lesson Title Here

Additional Example 3B: Subtracting Mixed Numbers

Subtract. Write the answer in simplest form.

2

3

8

9

8

B.

12

Find a common denominator.

Subtract integers and subtract fractions.

4-11

9

8

1

8

1

8

8

8

3

8

1

8

3

8

= 16+

16

+

Regroup 17

.

12

– 12 =

17

6

8

= 4 +

3

4

6

8

4

= 4

=

Course 2

Additional Example 3C: Subtracting Mixed Numbers

Subtract. Write the answer in simplest form.

1

8

3

8

17

12

C.

Subtract integers and

subtract fractions.

4-11

4

5

1

5

3

5

=

3

2

1 +

=

3

5

1

Course 2

Insert Lesson Title Here

Try This: Example 3A

Subtract. Write the answer in simplest form.

1

5

4

5

2

A. 3

Subtract integers and subtract fractions.

4-11

7

8

6

8

7

8

3

4

=

4

10

10

4

1

8

=

6 +

1

8

= 6

Course 2

Insert Lesson Title Here

Try This: Example 3B

Subtract. Write the answer in simplest form.

3

4

7

8

4

B.

10

Find a common denominator.

Subtract integers and subtract fractions.

4-11

5

4

1

4

1

4

4

4

3

4

1

4

3

4

= 13+

13

+

Regroup 14

.

10

– 10 =

14

2

4

= 3 +

1

2

2

4

3

= 3

=

Course 2

Try This: Example 3C

Subtract. Write the answer in simplest form.

1

4

3

4

14

10

C.

Subtract integers and

subtract fractions.

4-11

5

12

10

1

4

20

1

8

5

7

18

5

5

8

1 yards

Course 2

Insert Lesson Title Here

Lesson Quiz

1. 5

2. 9

3. 7

4. 10

1

4

1

6

5

+

7

12

2

3

+ 10

3

4

7

8

– 2

2

9

5

6

– 4

1

2

5. A single roll of wallpaper unrolls to 15 yards

7

8

you hang 13 yards from the roll. How much

wallpaper remains?