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Name
Grade
School

Date
Questions20
Score

1

2 + 5 5/9 =

2

2 + 8 4/8 =

3

9 3/4 + 10 =

4

4 3/6 + 12 =

5

11 + 3 2/10 =

6

7 2/5 + 15 =

7

2 2/10 + 16 =

8

5 + 5 8/9 =

9

14 + 6 2/9 =

10

8 5/6 + 5 =

11

12 + 2 5/7 =

12

2 + 3 6/8 =

13

5 2/7 + 3 =

14

6 7/10 + 15 =

15

2 + 8 5/7 =

16

12 + 7 6/7 =

17

2 7/10 + 13 =

18

13 + 8 4/8 =

19

8 2/7 + 18 =

20

2 4/9 + 17 =

Answers Key

Show All Workout

1

2 + 5 5/9 =

7 5/9

Steps

Convert the mixed fraction into fraction

Find the lcm for both denominators

LCM(1, 9) = 9

Make all the denominators equal to each other

Convert the fraction into mixed fraction

5

59

=

(5 x 9) + 59

=

45 + 59

=

509

21

+

509

LCM(1, 9) = 9

Make all the denominators equal to each other

21

=

2 x 91 x 9

=

2 x 99

=

189

509

=

50 x 99 x 9

=

50 x 19

=

509

189

+

509

=

18 + 509

=

689

689

=

639

+

59

= 7

59

∴

2

+

5

59

=

7

59

2

2 + 8 4/8 =

10 1/2

Steps

Convert the mixed fraction into fraction

Find the lcm for both denominators

LCM(1, 8) = 8

Make all the denominators equal to each other

simplify the fraction

GCF(84, 8) = 4

Convert the fraction into mixed fraction

8

48

=

(8 x 8) + 48

=

64 + 48

=

688

21

+

688

LCM(1, 8) = 8

Make all the denominators equal to each other

21

=

2 x 81 x 8

=

2 x 88

=

168

688

=

68 x 88 x 8

=

68 x 18

=

688

168

+

688

=

16 + 688

=

848

GCF(84, 8) = 4

848

=

84 ÷ 48 ÷ 4

=

212

212

=

202

+

12

= 10

12

∴

2

+

8

48

=

10

12

3

9 3/4 + 10 =

19 3/4

Steps

Convert the mixed fraction into fraction

Find the lcm for both denominators

LCM(4, 1) = 4

Make all the denominators equal to each other

Convert the fraction into mixed fraction

9

34

=

(9 x 4) + 34

=

36 + 34

=

394

394

+

101

LCM(4, 1) = 4

Make all the denominators equal to each other

394

=

39 x 44 x 4

=

39 x 14

=

394

101

=

10 x 41 x 4

=

10 x 44

=

404

394

+

404

=

39 + 404

=

794

794

=

764

+

34

= 19

34

∴

9

34

+

10

=

19

34

4

4 3/6 + 12 =

16 1/2

Steps

Convert the mixed fraction into fraction

Find the lcm for both denominators

LCM(6, 1) = 6

Make all the denominators equal to each other

simplify the fraction

GCF(99, 6) = 3

Convert the fraction into mixed fraction

4

36

=

(4 x 6) + 36

=

24 + 36

=

276

276

+

121

LCM(6, 1) = 6

Make all the denominators equal to each other

276

=

27 x 66 x 6

=

27 x 16

=

276

121

=

12 x 61 x 6

=

12 x 66

=

726

276

+

726

=

27 + 726

=

996

GCF(99, 6) = 3

996

=

99 ÷ 36 ÷ 3

=

332

332

=

322

+

12

= 16

12

∴

4

36

+

12

=

16

12

5

11 + 3 2/10 =

14 1/5

Steps

Convert the mixed fraction into fraction

Find the lcm for both denominators

LCM(1, 10) = 10

Make all the denominators equal to each other

simplify the fraction

GCF(142, 10) = 2

Convert the fraction into mixed fraction

3

210

=

(3 x 10) + 210

=

30 + 210

=

3210

111

+

3210

LCM(1, 10) = 10

Make all the denominators equal to each other

111

=

11 x 101 x 10

=

11 x 1010

=

11010

3210

=

32 x 1010 x 10

=

32 x 110

=

3210

11010

+

3210

=

110 + 3210

=

14210

GCF(142, 10) = 2

14210

=

142 ÷ 210 ÷ 2

=

715

715

=

705

+

15

= 14

15

∴

11

+

3

210

=

14

15

6

7 2/5 + 15 =

22 2/5

Steps

Convert the mixed fraction into fraction

Find the lcm for both denominators

LCM(5, 1) = 5

Make all the denominators equal to each other

Convert the fraction into mixed fraction

7

25

=

(7 x 5) + 25

=

35 + 25

=

375

375

+

151

LCM(5, 1) = 5

Make all the denominators equal to each other

375

=

37 x 55 x 5

=

37 x 15

=

375

151

=

15 x 51 x 5

=

15 x 55

=

755

375

+

755

=

37 + 755

=

1125

1125

=

1105

+

25

= 22

25

∴

7

25

+

15

=

22

25

7

2 2/10 + 16 =

18 1/5

Steps

Convert the mixed fraction into fraction

Find the lcm for both denominators

LCM(10, 1) = 10

Make all the denominators equal to each other

simplify the fraction

GCF(182, 10) = 2

Convert the fraction into mixed fraction

2

210

=

(2 x 10) + 210

=

20 + 210

=

2210

2210

+

161

LCM(10, 1) = 10

Make all the denominators equal to each other

2210

=

22 x 1010 x 10

=

22 x 110

=

2210

161

=

16 x 101 x 10

=

16 x 1010

=

16010

2210

+

16010

=

22 + 16010

=

18210

GCF(182, 10) = 2

18210

=

182 ÷ 210 ÷ 2

=

915

915

=

905

+

15

= 18

15

∴

2

210

+

16

=

18

15

8

5 + 5 8/9 =

10 8/9

Steps

Convert the mixed fraction into fraction

Find the lcm for both denominators

LCM(1, 9) = 9

Make all the denominators equal to each other

Convert the fraction into mixed fraction

5

89

=

(5 x 9) + 89

=

45 + 89

=

539

51

+

539

LCM(1, 9) = 9

Make all the denominators equal to each other

51

=

5 x 91 x 9

=

5 x 99

=

459

539

=

53 x 99 x 9

=

53 x 19

=

539

459

+

539

=

45 + 539

=

989

989

=

909

+

89

= 10

89

∴

5

+

5

89

=

10

89

9

14 + 6 2/9 =

20 2/9

Steps

Convert the mixed fraction into fraction

Find the lcm for both denominators

LCM(1, 9) = 9

Make all the denominators equal to each other

Convert the fraction into mixed fraction

6

29

=

(6 x 9) + 29

=

54 + 29

=

569

141

+

569

LCM(1, 9) = 9

Make all the denominators equal to each other

141

=

14 x 91 x 9

=

14 x 99

=

1269

569

=

56 x 99 x 9

=

56 x 19

=

569

1269

+

569

=

126 + 569

=

1829

1829

=

1809

+

29

= 20

29

∴

14

+

6

29

=

20

29

10

8 5/6 + 5 =

13 5/6

Steps

Convert the mixed fraction into fraction

Find the lcm for both denominators

LCM(6, 1) = 6

Make all the denominators equal to each other

Convert the fraction into mixed fraction

8

56

=

(8 x 6) + 56

=

48 + 56

=

536

536

+

51

LCM(6, 1) = 6

Make all the denominators equal to each other

536

=

53 x 66 x 6

=

53 x 16

=

536

51

=

5 x 61 x 6

=

5 x 66

=

306

536

+

306

=

53 + 306

=

836

836

=

786

+

56

= 13

56

∴

8

56

+

5

=

13

56

11

12 + 2 5/7 =

14 5/7

Steps

Convert the mixed fraction into fraction

Find the lcm for both denominators

LCM(1, 7) = 7

Make all the denominators equal to each other

Convert the fraction into mixed fraction

2

57

=

(2 x 7) + 57

=

14 + 57

=

197

121

+

197

LCM(1, 7) = 7

Make all the denominators equal to each other

121

=

12 x 71 x 7

=

12 x 77

=

847

197

=

19 x 77 x 7

=

19 x 17

=

197

847

+

197

=

84 + 197

=

1037

1037

=

987

+

57

= 14

57

∴

12

+

2

57

=

14

57

12

2 + 3 6/8 =

5 3/4

Steps

Convert the mixed fraction into fraction

Find the lcm for both denominators

LCM(1, 8) = 8

Make all the denominators equal to each other

simplify the fraction

GCF(46, 8) = 2

Convert the fraction into mixed fraction

3

68

=

(3 x 8) + 68

=

24 + 68

=

308

21

+

308

LCM(1, 8) = 8

Make all the denominators equal to each other

21

=

2 x 81 x 8

=

2 x 88

=

168

308

=

30 x 88 x 8

=

30 x 18

=

308

168

+

308

=

16 + 308

=

468

GCF(46, 8) = 2

468

=

46 ÷ 28 ÷ 2

=

234

234

=

204

+

34

= 5

34

∴

2

+

3

68

=

5

34

13

5 2/7 + 3 =

8 2/7

Steps

Convert the mixed fraction into fraction

Find the lcm for both denominators

LCM(7, 1) = 7

Make all the denominators equal to each other

Convert the fraction into mixed fraction

5

27

=

(5 x 7) + 27

=

35 + 27

=

377

377

+

31

LCM(7, 1) = 7

Make all the denominators equal to each other

377

=

37 x 77 x 7

=

37 x 17

=

377

31

=

3 x 71 x 7

=

3 x 77

=

217

377

+

217

=

37 + 217

=

587

587

=

567

+

27

= 8

27

∴

5

27

+

3

=

8

27

14

6 7/10 + 15 =

21 7/10

Steps

Convert the mixed fraction into fraction

Find the lcm for both denominators

LCM(10, 1) = 10

Make all the denominators equal to each other

Convert the fraction into mixed fraction

6

710

=

(6 x 10) + 710

=

60 + 710

=

6710

6710

+

151

LCM(10, 1) = 10

Make all the denominators equal to each other

6710

=

67 x 1010 x 10

=

67 x 110

=

6710

151

=

15 x 101 x 10

=

15 x 1010

=

15010

6710

+

15010

=

67 + 15010

=

21710

21710

=

21010

+

710

= 21

710

∴

6

710

+

15

=

21

710

15

2 + 8 5/7 =

10 5/7

Steps

Convert the mixed fraction into fraction

Find the lcm for both denominators

LCM(1, 7) = 7

Make all the denominators equal to each other

Convert the fraction into mixed fraction

8

57

=

(8 x 7) + 57

=

56 + 57

=

617

21

+

617

LCM(1, 7) = 7

Make all the denominators equal to each other

21

=

2 x 71 x 7

=

2 x 77

=

147

617

=

61 x 77 x 7

=

61 x 17

=

617

147

+

617

=

14 + 617

=

757

757

=

707

+

57

= 10

57

∴

2

+

8

57

=

10

57

16

12 + 7 6/7 =

19 6/7

Steps

Convert the mixed fraction into fraction

Find the lcm for both denominators

LCM(1, 7) = 7

Make all the denominators equal to each other

Convert the fraction into mixed fraction

7

67

=

(7 x 7) + 67

=

49 + 67

=

557

121

+

557

LCM(1, 7) = 7

Make all the denominators equal to each other

121

=

12 x 71 x 7

=

12 x 77

=

847

557

=

55 x 77 x 7

=

55 x 17

=

557

847

+

557

=

84 + 557

=

1397

1397

=

1337

+

67

= 19

67

∴

12

+

7

67

=

19

67

17

2 7/10 + 13 =

15 7/10

Steps

Convert the mixed fraction into fraction

Find the lcm for both denominators

LCM(10, 1) = 10

Make all the denominators equal to each other

Convert the fraction into mixed fraction

2

710

=

(2 x 10) + 710

=

20 + 710

=

2710

2710

+

131

LCM(10, 1) = 10

Make all the denominators equal to each other

2710

=

27 x 1010 x 10

=

27 x 110

=

2710

131

=

13 x 101 x 10

=

13 x 1010

=

13010

2710

+

13010

=

27 + 13010

=

15710

15710

=

15010

+

710

= 15

710

∴

2

710

+

13

=

15

710

18

13 + 8 4/8 =

21 1/2

Steps

Convert the mixed fraction into fraction

Find the lcm for both denominators

LCM(1, 8) = 8

Make all the denominators equal to each other

simplify the fraction

GCF(172, 8) = 4

Convert the fraction into mixed fraction

8

48

=

(8 x 8) + 48

=

64 + 48

=

688

131

+

688

LCM(1, 8) = 8

Make all the denominators equal to each other

131

=

13 x 81 x 8

=

13 x 88

=

1048

688

=

68 x 88 x 8

=

68 x 18

=

688

1048

+

688

=

104 + 688

=

1728

GCF(172, 8) = 4

1728

=

172 ÷ 48 ÷ 4

=

432

432

=

422

+

12

= 21

12

∴

13

+

8

48

=

21

12

19

8 2/7 + 18 =

26 2/7

Steps

Convert the mixed fraction into fraction

Find the lcm for both denominators

LCM(7, 1) = 7

Make all the denominators equal to each other

Convert the fraction into mixed fraction

8

27

=

(8 x 7) + 27

=

56 + 27

=

587

587

+

181

LCM(7, 1) = 7

Make all the denominators equal to each other

587

=

58 x 77 x 7

=

58 x 17

=

587

181

=

18 x 71 x 7

=

18 x 77

=

1267

587

+

1267

=

58 + 1267

=

1847

1847

=

1827

+

27

= 26

27

∴

8

27

+

18

=

26

27

20

2 4/9 + 17 =

19 4/9

Steps

Convert the mixed fraction into fraction

Find the lcm for both denominators

LCM(9, 1) = 9

Make all the denominators equal to each other

Convert the fraction into mixed fraction

2

49

=

(2 x 9) + 49

=

18 + 49

=

229

229

+

171

LCM(9, 1) = 9

Make all the denominators equal to each other

229

=

22 x 99 x 9

=

22 x 19

=

229

171

=

17 x 91 x 9

=

17 x 99

=

1539

229

+

1539

=

22 + 1539

=

1759

1759

=

1719

+

49

= 19

49

∴

2

49

+

17

=

19

49

Mixed and whole numbers addition worksheet with answers to practice & learn 6th grade math problems is available online for free in printable & downloadable (pdf & image) format. Tap on PRINT, PDF or IMAGE button to print or download this grade-6 fraction worksheet to practice adding whole number with mixed number or adding mixed number with whole number.

In this sixth grade fraction worksheet, students are required to find the sum of mixed and whole numbers for each problem of this worksheet. Convert the mixed number to its equivalent irregular fraction, convert the whole number to its equivalent fraction form, find the LCM or LCD of denominators, multiply the LCD with both numerator and denominator of each fractions, simplify the fractions to have equal denominators and add the numerators. The sum of numerators divided by the common denominator is the sum of whole and mixed numbers.

Teachers, tutors, parents or students can check or validate the solved questions by using the corresponding answers key which comprises the step by step work on how to find the sum when adding mixed number with whole number.

Students, teachers, tutors or parents can generate unlimited set of questions and answers by using this "**NEW WORKSHEET**" button to prepare exam, assignments, classwork or homework problems on mixed number and whole number addition.

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