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Name
Grade
School

Date
Questions20
Score

1

5 7/8 + 9/6 =

2

1 6/9 + 5/4 =

3

6/2 + 6 9/10 =

4

5/4 + 1 9/10 =

5

6/5 + 5 6/9 =

6

7 4/8 + 10/4 =

7

9 3/7 + 4/2 =

8

1 3/5 + 9/8 =

9

5/2 + 1 2/6 =

10

9/8 + 7 4/9 =

11

4/2 + 4 7/8 =

12

1 5/9 + 10/5 =

13

6 2/10 + 9/8 =

14

5/2 + 3 8/10 =

15

2 3/4 + 3/2 =

16

4 3/5 + 5/4 =

17

6/3 + 3 2/6 =

18

10 3/10 + 8/5 =

19

9/8 + 9 5/9 =

20

8/5 + 2 7/8 =

Answers Key

Show All Workout

1

5 7/8 + 9/6 =

7 3/8

Steps

Convert the mixed fraction into fraction

Find the lcm for both denominators

LCM(8, 6) = 24

Make all the denominators equal to each other

simplify the fraction

GCF(177, 24) = 3

Convert the fraction into mixed fraction

5

78

=

(5 x 8) + 78

=

40 + 78

=

478

478

+

96

LCM(8, 6) = 24

Make all the denominators equal to each other

478

=

47 x 248 x 24

=

47 x 324

=

14124

96

=

9 x 246 x 24

=

9 x 424

=

3624

14124

+

3624

=

141 + 3624

=

17724

GCF(177, 24) = 3

17724

=

177 ÷ 324 ÷ 3

=

598

598

=

568

+

38

= 7

38

∴

5

78

+

96

=

7

38

2

1 6/9 + 5/4 =

2 11/12

Steps

Convert the mixed fraction into fraction

Find the lcm for both denominators

LCM(9, 4) = 36

Make all the denominators equal to each other

simplify the fraction

GCF(105, 36) = 3

Convert the fraction into mixed fraction

1

69

=

(1 x 9) + 69

=

9 + 69

=

159

159

+

54

LCM(9, 4) = 36

Make all the denominators equal to each other

159

=

15 x 369 x 36

=

15 x 436

=

6036

54

=

5 x 364 x 36

=

5 x 936

=

4536

6036

+

4536

=

60 + 4536

=

10536

GCF(105, 36) = 3

10536

=

105 ÷ 336 ÷ 3

=

3512

3512

=

2412

+

1112

= 2

1112

∴

1

69

+

54

=

2

1112

3

6/2 + 6 9/10 =

9 9/10

Steps

Convert the mixed fraction into fraction

Find the lcm for both denominators

LCM(2, 10) = 10

Make all the denominators equal to each other

Convert the fraction into mixed fraction

6

910

=

(6 x 10) + 910

=

60 + 910

=

6910

62

+

6910

LCM(2, 10) = 10

Make all the denominators equal to each other

62

=

6 x 102 x 10

=

6 x 510

=

3010

6910

=

69 x 1010 x 10

=

69 x 110

=

6910

3010

+

6910

=

30 + 6910

=

9910

9910

=

9010

+

910

= 9

910

∴

62

+

6

910

=

9

910

4

5/4 + 1 9/10 =

3 3/20

Steps

Convert the mixed fraction into fraction

Find the lcm for both denominators

LCM(4, 10) = 20

Make all the denominators equal to each other

Convert the fraction into mixed fraction

1

910

=

(1 x 10) + 910

=

10 + 910

=

1910

54

+

1910

LCM(4, 10) = 20

Make all the denominators equal to each other

54

=

5 x 204 x 20

=

5 x 520

=

2520

1910

=

19 x 2010 x 20

=

19 x 220

=

3820

2520

+

3820

=

25 + 3820

=

6320

6320

=

6020

+

320

= 3

320

∴

54

+

1

910

=

3

320

5

6/5 + 5 6/9 =

6 13/15

Steps

Convert the mixed fraction into fraction

Find the lcm for both denominators

LCM(5, 9) = 45

Make all the denominators equal to each other

simplify the fraction

GCF(309, 45) = 3

Convert the fraction into mixed fraction

5

69

=

(5 x 9) + 69

=

45 + 69

=

519

65

+

519

LCM(5, 9) = 45

Make all the denominators equal to each other

65

=

6 x 455 x 45

=

6 x 945

=

5445

519

=

51 x 459 x 45

=

51 x 545

=

25545

5445

+

25545

=

54 + 25545

=

30945

GCF(309, 45) = 3

30945

=

309 ÷ 345 ÷ 3

=

10315

10315

=

9015

+

1315

= 6

1315

∴

65

+

5

69

=

6

1315

6

7 4/8 + 10/4 =

10

Steps

Convert the mixed fraction into fraction

Find the lcm for both denominators

LCM(8, 4) = 8

Make all the denominators equal to each other

simplify the fraction

GCF(80, 8) = 8

7

48

=

(7 x 8) + 48

=

56 + 48

=

608

608

+

104

LCM(8, 4) = 8

Make all the denominators equal to each other

608

=

60 x 88 x 8

=

60 x 18

=

608

104

=

10 x 84 x 8

=

10 x 28

=

208

608

+

208

=

60 + 208

=

808

GCF(80, 8) = 8

808

=

80 ÷ 88 ÷ 8

=

101

= 10

∴

7

48

+

104

=

10

7

9 3/7 + 4/2 =

11 3/7

Steps

Convert the mixed fraction into fraction

Find the lcm for both denominators

LCM(7, 2) = 14

Make all the denominators equal to each other

simplify the fraction

GCF(160, 14) = 2

Convert the fraction into mixed fraction

9

37

=

(9 x 7) + 37

=

63 + 37

=

667

667

+

42

LCM(7, 2) = 14

Make all the denominators equal to each other

667

=

66 x 147 x 14

=

66 x 214

=

13214

42

=

4 x 142 x 14

=

4 x 714

=

2814

13214

+

2814

=

132 + 2814

=

16014

GCF(160, 14) = 2

16014

=

160 ÷ 214 ÷ 2

=

807

807

=

777

+

37

= 11

37

∴

9

37

+

42

=

11

37

8

1 3/5 + 9/8 =

2 29/40

Steps

Convert the mixed fraction into fraction

Find the lcm for both denominators

LCM(5, 8) = 40

Make all the denominators equal to each other

Convert the fraction into mixed fraction

1

35

=

(1 x 5) + 35

=

5 + 35

=

85

85

+

98

LCM(5, 8) = 40

Make all the denominators equal to each other

85

=

8 x 405 x 40

=

8 x 840

=

6440

98

=

9 x 408 x 40

=

9 x 540

=

4540

6440

+

4540

=

64 + 4540

=

10940

10940

=

8040

+

2940

= 2

2940

∴

1

35

+

98

=

2

2940

9

5/2 + 1 2/6 =

3 5/6

Steps

Convert the mixed fraction into fraction

Find the lcm for both denominators

LCM(2, 6) = 6

Make all the denominators equal to each other

Convert the fraction into mixed fraction

1

26

=

(1 x 6) + 26

=

6 + 26

=

86

52

+

86

LCM(2, 6) = 6

Make all the denominators equal to each other

52

=

5 x 62 x 6

=

5 x 36

=

156

86

=

8 x 66 x 6

=

8 x 16

=

86

156

+

86

=

15 + 86

=

236

236

=

186

+

56

= 3

56

∴

52

+

1

26

=

3

56

10

9/8 + 7 4/9 =

8 41/72

Steps

Convert the mixed fraction into fraction

Find the lcm for both denominators

LCM(8, 9) = 72

Make all the denominators equal to each other

Convert the fraction into mixed fraction

7

49

=

(7 x 9) + 49

=

63 + 49

=

679

98

+

679

LCM(8, 9) = 72

Make all the denominators equal to each other

98

=

9 x 728 x 72

=

9 x 972

=

8172

679

=

67 x 729 x 72

=

67 x 872

=

53672

8172

+

53672

=

81 + 53672

=

61772

61772

=

57672

+

4172

= 8

4172

∴

98

+

7

49

=

8

4172

11

4/2 + 4 7/8 =

6 7/8

Steps

Convert the mixed fraction into fraction

Find the lcm for both denominators

LCM(2, 8) = 8

Make all the denominators equal to each other

Convert the fraction into mixed fraction

4

78

=

(4 x 8) + 78

=

32 + 78

=

398

42

+

398

LCM(2, 8) = 8

Make all the denominators equal to each other

42

=

4 x 82 x 8

=

4 x 48

=

168

398

=

39 x 88 x 8

=

39 x 18

=

398

168

+

398

=

16 + 398

=

558

558

=

488

+

78

= 6

78

∴

42

+

4

78

=

6

78

12

1 5/9 + 10/5 =

3 5/9

Steps

Convert the mixed fraction into fraction

Find the lcm for both denominators

LCM(9, 5) = 45

Make all the denominators equal to each other

simplify the fraction

GCF(160, 45) = 5

Convert the fraction into mixed fraction

1

59

=

(1 x 9) + 59

=

9 + 59

=

149

149

+

105

LCM(9, 5) = 45

Make all the denominators equal to each other

149

=

14 x 459 x 45

=

14 x 545

=

7045

105

=

10 x 455 x 45

=

10 x 945

=

9045

7045

+

9045

=

70 + 9045

=

16045

GCF(160, 45) = 5

16045

=

160 ÷ 545 ÷ 5

=

329

329

=

279

+

59

= 3

59

∴

1

59

+

105

=

3

59

13

6 2/10 + 9/8 =

7 13/40

Steps

Convert the mixed fraction into fraction

Find the lcm for both denominators

LCM(10, 8) = 40

Make all the denominators equal to each other

Convert the fraction into mixed fraction

6

210

=

(6 x 10) + 210

=

60 + 210

=

6210

6210

+

98

LCM(10, 8) = 40

Make all the denominators equal to each other

6210

=

62 x 4010 x 40

=

62 x 440

=

24840

98

=

9 x 408 x 40

=

9 x 540

=

4540

24840

+

4540

=

248 + 4540

=

29340

29340

=

28040

+

1340

= 7

1340

∴

6

210

+

98

=

7

1340

14

5/2 + 3 8/10 =

6 3/10

Steps

Convert the mixed fraction into fraction

Find the lcm for both denominators

LCM(2, 10) = 10

Make all the denominators equal to each other

Convert the fraction into mixed fraction

3

810

=

(3 x 10) + 810

=

30 + 810

=

3810

52

+

3810

LCM(2, 10) = 10

Make all the denominators equal to each other

52

=

5 x 102 x 10

=

5 x 510

=

2510

3810

=

38 x 1010 x 10

=

38 x 110

=

3810

2510

+

3810

=

25 + 3810

=

6310

6310

=

6010

+

310

= 6

310

∴

52

+

3

810

=

6

310

15

2 3/4 + 3/2 =

4 1/4

Steps

Convert the mixed fraction into fraction

Find the lcm for both denominators

LCM(4, 2) = 4

Make all the denominators equal to each other

Convert the fraction into mixed fraction

2

34

=

(2 x 4) + 34

=

8 + 34

=

114

114

+

32

LCM(4, 2) = 4

Make all the denominators equal to each other

114

=

11 x 44 x 4

=

11 x 14

=

114

32

=

3 x 42 x 4

=

3 x 24

=

64

114

+

64

=

11 + 64

=

174

174

=

164

+

14

= 4

14

∴

2

34

+

32

=

4

14

16

4 3/5 + 5/4 =

5 17/20

Steps

Convert the mixed fraction into fraction

Find the lcm for both denominators

LCM(5, 4) = 20

Make all the denominators equal to each other

Convert the fraction into mixed fraction

4

35

=

(4 x 5) + 35

=

20 + 35

=

235

235

+

54

LCM(5, 4) = 20

Make all the denominators equal to each other

235

=

23 x 205 x 20

=

23 x 420

=

9220

54

=

5 x 204 x 20

=

5 x 520

=

2520

9220

+

2520

=

92 + 2520

=

11720

11720

=

10020

+

1720

= 5

1720

∴

4

35

+

54

=

5

1720

17

6/3 + 3 2/6 =

5 1/3

Steps

Convert the mixed fraction into fraction

Find the lcm for both denominators

LCM(3, 6) = 6

Make all the denominators equal to each other

simplify the fraction

GCF(32, 6) = 2

Convert the fraction into mixed fraction

3

26

=

(3 x 6) + 26

=

18 + 26

=

206

63

+

206

LCM(3, 6) = 6

Make all the denominators equal to each other

63

=

6 x 63 x 6

=

6 x 26

=

126

206

=

20 x 66 x 6

=

20 x 16

=

206

126

+

206

=

12 + 206

=

326

GCF(32, 6) = 2

326

=

32 ÷ 26 ÷ 2

=

163

163

=

153

+

13

= 5

13

∴

63

+

3

26

=

5

13

18

10 3/10 + 8/5 =

11 9/10

Steps

Convert the mixed fraction into fraction

Find the lcm for both denominators

LCM(10, 5) = 10

Make all the denominators equal to each other

Convert the fraction into mixed fraction

10

310

=

(10 x 10) + 310

=

100 + 310

=

10310

10310

+

85

LCM(10, 5) = 10

Make all the denominators equal to each other

10310

=

103 x 1010 x 10

=

103 x 110

=

10310

85

=

8 x 105 x 10

=

8 x 210

=

1610

10310

+

1610

=

103 + 1610

=

11910

11910

=

11010

+

910

= 11

910

∴

10

310

+

85

=

11

910

19

9/8 + 9 5/9 =

10 49/72

Steps

Convert the mixed fraction into fraction

Find the lcm for both denominators

LCM(8, 9) = 72

Make all the denominators equal to each other

Convert the fraction into mixed fraction

9

59

=

(9 x 9) + 59

=

81 + 59

=

869

98

+

869

LCM(8, 9) = 72

Make all the denominators equal to each other

98

=

9 x 728 x 72

=

9 x 972

=

8172

869

=

86 x 729 x 72

=

86 x 872

=

68872

8172

+

68872

=

81 + 68872

=

76972

76972

=

72072

+

4972

= 10

4972

∴

98

+

9

59

=

10

4972

20

8/5 + 2 7/8 =

4 19/40

Steps

Convert the mixed fraction into fraction

Find the lcm for both denominators

LCM(5, 8) = 40

Make all the denominators equal to each other

Convert the fraction into mixed fraction

2

78

=

(2 x 8) + 78

=

16 + 78

=

238

85

+

238

LCM(5, 8) = 40

Make all the denominators equal to each other

85

=

8 x 405 x 40

=

8 x 840

=

6440

238

=

23 x 408 x 40

=

23 x 540

=

11540

6440

+

11540

=

64 + 11540

=

17940

17940

=

16040

+

1940

= 4

1940

∴

85

+

2

78

=

4

1940

Mixed number and fraction 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 fractions and mixed numbers.

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

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 sum of fraction and mixed 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 adding mixed numbers and fractions.

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