1

Add and Subtract Mixed Numbers

With like and unlike denominators

2

Lesson Objectives 6.C.1.d Add and subtract proper fractions and

mixed numbers with answers in simplest form

3.A.1.a Use technology tools, including software and hardware, from a range of teacher-selected options to learn a new content or reinforce skills

3

Add:5

26

3

15

11

3/8

11

11/

15

12

3/8

12

11/

15

0% 0%0%0%

A. 11 3/8

B. 11 11/15

C. 12 3/8

D. 12 11/15

10

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30 31 32

4

Subtract:4

36

3

28 10

2

1/4

2

1/1

2

1

11/

12

15

5/1

2

0% 0%0%0%

A. 2 1/4

B. 2 1/12

C. 1 11/12

D. 15 5/12

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30 31 32

5

Add:7

26

5

412 10

19

3/3

5

18

38/

35

6

2/7

19

38/

35

0% 0%0%0%

A. 19 3/35

B. 18 38/35

C. 6 2/7

D. 19 38/35

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30 31 32

6

Subtract:4

121

8

735 10

57

1/8

14

9/8

14

5/8

4 5/

8

0% 0%0%0%

A. 57 1/8

B. 14 9/8

C. 14 5/8

D. 4 5/8

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30 31 32

7

Add:5

44

2

12

10

7

3/1

0

6

3/1

0

6

13/

10

7

2/5

0% 0%0%0%

A. 7 3/10

B. 6 3/10

C. 6 13/10

D. 7 2/5

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30 31 32

8

Subtract:5

37

8

316

10

9

1/3

9

79/

40

8

31/

40

8

1/3

0% 0%0%0%

A. 9 1/3

B. 9 79/40

C. 8 31/40

D. 8 1/3

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30 31 32

9

Add:4

320

3

215

10

35

17/

12

36

5/1

2

35

5/1

25

1/4

0% 0%0%0%

A. 35 17/12

B. 36 5/12

C. 35 5/12

D. 5 1/4

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30 31 32

10

Subtract:4

17

5

313

10

6

17/

20

20

17/

20

7

7/2

0

6

7/2

0

0% 0%0%0%

A. 6 17/20

B. 20 17/20

C. 7 7/20

D. 6 7/20

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30 31 32

11

Add:6

550

8

345

10

95

29/

24

96

5/2

4

96

10/

48

5

2/2

0% 0%0%0%

A. 95 29/24

B. 96 5/24

C. 96 10/48

D. 5 2/2

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30 31 32

12

Subtract: 58

714 10

8

1/8

9

7/8

19

7/8

9

1/8

0% 0%0%0%

A. 8 1/8

B. 9 7/8

C. 19 7/8

D. 9 1/8

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30 31 32

13

Val cut 2/3 of the lawn today. She cut 1/2 of the lawn in the afternoon. What fraction of the lawn did she cut in the morning?

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30 31 32

0% 0%0%0%

A. 4/5

B. 1/3

C. 1/6

D. 3/8

10

14

Five- eighths of the lunches sold in the cafeteria were pizzas. One –third of the lunches were hotdogs. What fraction of the lunches were either pizzas or hotdogs?

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30 31 32

10

2/3

7/2

4 6

/11

23/

24

0% 0%0%0%

A. 2/3

B. 7/24

C. 6/11

D. 23/24

15

Luke spent 1 5/6 hours doing homework. He spent 2/3 of an hour on math problems and the rest of the time writing a report. How much time did Luke spend on his report?

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30 31 32

10

0% 0%0%0%

A. 1 5/6

B. 2 1/2

C. 1 1/6

D. 2 3/8

16

Mike walked 2 1/6 miles, rested, and then walked another 1 5/6 miles. How far did he walk all together?

0% 0%0%0%

A. 1 2/3 miles

B. 3 1/2 miles

C. 3 1/4 miles

D. 4 miles

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30 31 32

10

17

Da’ Qwan had 2 3/8 pounds of sliced lunch meat. He used 1 1/2 pounds of it to make sandwiches. How much of the lunch meat did he have left?

0% 0%0%0%

A. 7/8 pounds

B. 1 7/8 pounds

C. 1 1/8 pounds

D. 3 2/5 pounds

10

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30 31 32

1