- KITTY
- PRINT
- IMAGE
- CHALLENGE
- CALCULATOR
- New Worksheet

Name
Grade
School

Date
Questions20
Score

1

4 2/10 + 1 2/3 =

2

7 5/7 + 9 9/10 =

3

3 6/9 + 7 7/10 =

4

9 4/10 + 5 5/7 =

5

8 2/6 + 6 6/9 =

6

10 4/6 + 9 2/4 =

7

10 3/7 + 4 9/10 =

8

9 4/6 + 3 6/9 =

9

7 4/7 + 3 5/9 =

10

8 8/10 + 2 4/5 =

11

5 2/6 + 10 7/8 =

12

5 4/8 + 8 5/7 =

13

1 3/4 + 7 3/9 =

14

2 3/7 + 6 7/10 =

15

2 5/6 + 4 4/5 =

16

9 5/6 + 2 6/8 =

17

2 6/7 + 7 3/4 =

18

5 3/10 + 1 8/9 =

19

5 3/6 + 7 7/10 =

20

10 7/9 + 3 4/8 =

Answers Key

Show All Workout

1

4 2/10 + 1 2/3 =

5 13/15

Steps

Convert the mixed fraction into fraction

Find the lcm for both denominators

LCM(10, 3) = 30

Make all the denominators equal to each other

simplify the fraction

GCF(176, 30) = 2

Convert the fraction into mixed fraction

4

210

=

(4 x 10) + 210

=

40 + 210

=

4210

1

23

=

(1 x 3) + 23

=

3 + 23

=

53

4210

+

53

LCM(10, 3) = 30

Make all the denominators equal to each other

4210

=

42 x 3010 x 30

=

42 x 330

=

12630

53

=

5 x 303 x 30

=

5 x 1030

=

5030

12630

+

5030

=

126 + 5030

=

17630

GCF(176, 30) = 2

17630

=

176 ÷ 230 ÷ 2

=

8815

8815

=

7515

+

1315

= 5

1315

∴

4

210

+

1

23

=

5

1315

2

7 5/7 + 9 9/10 =

17 43/70

Steps

Convert the mixed fraction into fraction

Find the lcm for both denominators

LCM(7, 10) = 70

Make all the denominators equal to each other

Convert the fraction into mixed fraction

7

57

=

(7 x 7) + 57

=

49 + 57

=

547

9

910

=

(9 x 10) + 910

=

90 + 910

=

9910

547

+

9910

LCM(7, 10) = 70

Make all the denominators equal to each other

547

=

54 x 707 x 70

=

54 x 1070

=

54070

9910

=

99 x 7010 x 70

=

99 x 770

=

69370

54070

+

69370

=

540 + 69370

=

123370

123370

=

119070

+

4370

= 17

4370

∴

7

57

+

9

910

=

17

4370

3

3 6/9 + 7 7/10 =

11 11/30

Steps

Convert the mixed fraction into fraction

Find the lcm for both denominators

LCM(9, 10) = 90

Make all the denominators equal to each other

simplify the fraction

GCF(1023, 90) = 3

Convert the fraction into mixed fraction

3

69

=

(3 x 9) + 69

=

27 + 69

=

339

7

710

=

(7 x 10) + 710

=

70 + 710

=

7710

339

+

7710

LCM(9, 10) = 90

Make all the denominators equal to each other

339

=

33 x 909 x 90

=

33 x 1090

=

33090

7710

=

77 x 9010 x 90

=

77 x 990

=

69390

33090

+

69390

=

330 + 69390

=

102390

GCF(1023, 90) = 3

102390

=

1023 ÷ 390 ÷ 3

=

34130

34130

=

33030

+

1130

= 11

1130

∴

3

69

+

7

710

=

11

1130

4

9 4/10 + 5 5/7 =

15 4/35

Steps

Convert the mixed fraction into fraction

Find the lcm for both denominators

LCM(10, 7) = 70

Make all the denominators equal to each other

simplify the fraction

GCF(1058, 70) = 2

Convert the fraction into mixed fraction

9

410

=

(9 x 10) + 410

=

90 + 410

=

9410

5

57

=

(5 x 7) + 57

=

35 + 57

=

407

9410

+

407

LCM(10, 7) = 70

Make all the denominators equal to each other

9410

=

94 x 7010 x 70

=

94 x 770

=

65870

407

=

40 x 707 x 70

=

40 x 1070

=

40070

65870

+

40070

=

658 + 40070

=

105870

GCF(1058, 70) = 2

105870

=

1058 ÷ 270 ÷ 2

=

52935

52935

=

52535

+

435

= 15

435

∴

9

410

+

5

57

=

15

435

5

8 2/6 + 6 6/9 =

15

Steps

Convert the mixed fraction into fraction

Find the lcm for both denominators

LCM(6, 9) = 18

Make all the denominators equal to each other

simplify the fraction

GCF(270, 18) = 18

8

26

=

(8 x 6) + 26

=

48 + 26

=

506

6

69

=

(6 x 9) + 69

=

54 + 69

=

609

506

+

609

LCM(6, 9) = 18

Make all the denominators equal to each other

506

=

50 x 186 x 18

=

50 x 318

=

15018

609

=

60 x 189 x 18

=

60 x 218

=

12018

15018

+

12018

=

150 + 12018

=

27018

GCF(270, 18) = 18

27018

=

270 ÷ 1818 ÷ 18

=

151

= 15

∴

8

26

+

6

69

=

15

6

10 4/6 + 9 2/4 =

20 1/6

Steps

Convert the mixed fraction into fraction

Find the lcm for both denominators

LCM(6, 4) = 12

Make all the denominators equal to each other

simplify the fraction

GCF(242, 12) = 2

Convert the fraction into mixed fraction

10

46

=

(10 x 6) + 46

=

60 + 46

=

646

9

24

=

(9 x 4) + 24

=

36 + 24

=

384

646

+

384

LCM(6, 4) = 12

Make all the denominators equal to each other

646

=

64 x 126 x 12

=

64 x 212

=

12812

384

=

38 x 124 x 12

=

38 x 312

=

11412

12812

+

11412

=

128 + 11412

=

24212

GCF(242, 12) = 2

24212

=

242 ÷ 212 ÷ 2

=

1216

1216

=

1206

+

16

= 20

16

∴

10

46

+

9

24

=

20

16

7

10 3/7 + 4 9/10 =

15 23/70

Steps

Convert the mixed fraction into fraction

Find the lcm for both denominators

LCM(7, 10) = 70

Make all the denominators equal to each other

Convert the fraction into mixed fraction

10

37

=

(10 x 7) + 37

=

70 + 37

=

737

4

910

=

(4 x 10) + 910

=

40 + 910

=

4910

737

+

4910

LCM(7, 10) = 70

Make all the denominators equal to each other

737

=

73 x 707 x 70

=

73 x 1070

=

73070

4910

=

49 x 7010 x 70

=

49 x 770

=

34370

73070

+

34370

=

730 + 34370

=

107370

107370

=

105070

+

2370

= 15

2370

∴

10

37

+

4

910

=

15

2370

8

9 4/6 + 3 6/9 =

13 1/3

Steps

Convert the mixed fraction into fraction

Find the lcm for both denominators

LCM(6, 9) = 18

Make all the denominators equal to each other

simplify the fraction

GCF(240, 18) = 6

Convert the fraction into mixed fraction

9

46

=

(9 x 6) + 46

=

54 + 46

=

586

3

69

=

(3 x 9) + 69

=

27 + 69

=

339

586

+

339

LCM(6, 9) = 18

Make all the denominators equal to each other

586

=

58 x 186 x 18

=

58 x 318

=

17418

339

=

33 x 189 x 18

=

33 x 218

=

6618

17418

+

6618

=

174 + 6618

=

24018

GCF(240, 18) = 6

24018

=

240 ÷ 618 ÷ 6

=

403

403

=

393

+

13

= 13

13

∴

9

46

+

3

69

=

13

13

9

7 4/7 + 3 5/9 =

11 8/63

Steps

Convert the mixed fraction into fraction

Find the lcm for both denominators

LCM(7, 9) = 63

Make all the denominators equal to each other

Convert the fraction into mixed fraction

7

47

=

(7 x 7) + 47

=

49 + 47

=

537

3

59

=

(3 x 9) + 59

=

27 + 59

=

329

537

+

329

LCM(7, 9) = 63

Make all the denominators equal to each other

537

=

53 x 637 x 63

=

53 x 963

=

47763

329

=

32 x 639 x 63

=

32 x 763

=

22463

47763

+

22463

=

477 + 22463

=

70163

70163

=

69363

+

863

= 11

863

∴

7

47

+

3

59

=

11

863

10

8 8/10 + 2 4/5 =

11 3/5

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

simplify the fraction

GCF(116, 10) = 2

Convert the fraction into mixed fraction

8

810

=

(8 x 10) + 810

=

80 + 810

=

8810

2

45

=

(2 x 5) + 45

=

10 + 45

=

145

8810

+

145

LCM(10, 5) = 10

Make all the denominators equal to each other

8810

=

88 x 1010 x 10

=

88 x 110

=

8810

145

=

14 x 105 x 10

=

14 x 210

=

2810

8810

+

2810

=

88 + 2810

=

11610

GCF(116, 10) = 2

11610

=

116 ÷ 210 ÷ 2

=

585

585

=

555

+

35

= 11

35

∴

8

810

+

2

45

=

11

35

11

5 2/6 + 10 7/8 =

16 5/24

Steps

Convert the mixed fraction into fraction

Find the lcm for both denominators

LCM(6, 8) = 24

Make all the denominators equal to each other

Convert the fraction into mixed fraction

5

26

=

(5 x 6) + 26

=

30 + 26

=

326

10

78

=

(10 x 8) + 78

=

80 + 78

=

878

326

+

878

LCM(6, 8) = 24

Make all the denominators equal to each other

326

=

32 x 246 x 24

=

32 x 424

=

12824

878

=

87 x 248 x 24

=

87 x 324

=

26124

12824

+

26124

=

128 + 26124

=

38924

38924

=

38424

+

524

= 16

524

∴

5

26

+

10

78

=

16

524

12

5 4/8 + 8 5/7 =

14 3/14

Steps

Convert the mixed fraction into fraction

Find the lcm for both denominators

LCM(8, 7) = 56

Make all the denominators equal to each other

simplify the fraction

GCF(796, 56) = 4

Convert the fraction into mixed fraction

5

48

=

(5 x 8) + 48

=

40 + 48

=

448

8

57

=

(8 x 7) + 57

=

56 + 57

=

617

448

+

617

LCM(8, 7) = 56

Make all the denominators equal to each other

448

=

44 x 568 x 56

=

44 x 756

=

30856

617

=

61 x 567 x 56

=

61 x 856

=

48856

30856

+

48856

=

308 + 48856

=

79656

GCF(796, 56) = 4

79656

=

796 ÷ 456 ÷ 4

=

19914

19914

=

19614

+

314

= 14

314

∴

5

48

+

8

57

=

14

314

13

1 3/4 + 7 3/9 =

9 1/12

Steps

Convert the mixed fraction into fraction

Find the lcm for both denominators

LCM(4, 9) = 36

Make all the denominators equal to each other

simplify the fraction

GCF(327, 36) = 3

Convert the fraction into mixed fraction

1

34

=

(1 x 4) + 34

=

4 + 34

=

74

7

39

=

(7 x 9) + 39

=

63 + 39

=

669

74

+

669

LCM(4, 9) = 36

Make all the denominators equal to each other

74

=

7 x 364 x 36

=

7 x 936

=

6336

669

=

66 x 369 x 36

=

66 x 436

=

26436

6336

+

26436

=

63 + 26436

=

32736

GCF(327, 36) = 3

32736

=

327 ÷ 336 ÷ 3

=

10912

10912

=

10812

+

112

= 9

112

∴

1

34

+

7

39

=

9

112

14

2 3/7 + 6 7/10 =

9 9/70

Steps

Convert the mixed fraction into fraction

Find the lcm for both denominators

LCM(7, 10) = 70

Make all the denominators equal to each other

Convert the fraction into mixed fraction

2

37

=

(2 x 7) + 37

=

14 + 37

=

177

6

710

=

(6 x 10) + 710

=

60 + 710

=

6710

177

+

6710

LCM(7, 10) = 70

Make all the denominators equal to each other

177

=

17 x 707 x 70

=

17 x 1070

=

17070

6710

=

67 x 7010 x 70

=

67 x 770

=

46970

17070

+

46970

=

170 + 46970

=

63970

63970

=

63070

+

970

= 9

970

∴

2

37

+

6

710

=

9

970

15

2 5/6 + 4 4/5 =

7 19/30

Steps

Convert the mixed fraction into fraction

Find the lcm for both denominators

LCM(6, 5) = 30

Make all the denominators equal to each other

Convert the fraction into mixed fraction

2

56

=

(2 x 6) + 56

=

12 + 56

=

176

4

45

=

(4 x 5) + 45

=

20 + 45

=

245

176

+

245

LCM(6, 5) = 30

Make all the denominators equal to each other

176

=

17 x 306 x 30

=

17 x 530

=

8530

245

=

24 x 305 x 30

=

24 x 630

=

14430

8530

+

14430

=

85 + 14430

=

22930

22930

=

21030

+

1930

= 7

1930

∴

2

56

+

4

45

=

7

1930

16

9 5/6 + 2 6/8 =

12 7/12

Steps

Convert the mixed fraction into fraction

Find the lcm for both denominators

LCM(6, 8) = 24

Make all the denominators equal to each other

simplify the fraction

GCF(302, 24) = 2

Convert the fraction into mixed fraction

9

56

=

(9 x 6) + 56

=

54 + 56

=

596

2

68

=

(2 x 8) + 68

=

16 + 68

=

228

596

+

228

LCM(6, 8) = 24

Make all the denominators equal to each other

596

=

59 x 246 x 24

=

59 x 424

=

23624

228

=

22 x 248 x 24

=

22 x 324

=

6624

23624

+

6624

=

236 + 6624

=

30224

GCF(302, 24) = 2

30224

=

302 ÷ 224 ÷ 2

=

15112

15112

=

14412

+

712

= 12

712

∴

9

56

+

2

68

=

12

712

17

2 6/7 + 7 3/4 =

10 17/28

Steps

Convert the mixed fraction into fraction

Find the lcm for both denominators

LCM(7, 4) = 28

Make all the denominators equal to each other

Convert the fraction into mixed fraction

2

67

=

(2 x 7) + 67

=

14 + 67

=

207

7

34

=

(7 x 4) + 34

=

28 + 34

=

314

207

+

314

LCM(7, 4) = 28

Make all the denominators equal to each other

207

=

20 x 287 x 28

=

20 x 428

=

8028

314

=

31 x 284 x 28

=

31 x 728

=

21728

8028

+

21728

=

80 + 21728

=

29728

29728

=

28028

+

1728

= 10

1728

∴

2

67

+

7

34

=

10

1728

18

5 3/10 + 1 8/9 =

7 17/90

Steps

Convert the mixed fraction into fraction

Find the lcm for both denominators

LCM(10, 9) = 90

Make all the denominators equal to each other

Convert the fraction into mixed fraction

5

310

=

(5 x 10) + 310

=

50 + 310

=

5310

1

89

=

(1 x 9) + 89

=

9 + 89

=

179

5310

+

179

LCM(10, 9) = 90

Make all the denominators equal to each other

5310

=

53 x 9010 x 90

=

53 x 990

=

47790

179

=

17 x 909 x 90

=

17 x 1090

=

17090

47790

+

17090

=

477 + 17090

=

64790

64790

=

63090

+

1790

= 7

1790

∴

5

310

+

1

89

=

7

1790

19

5 3/6 + 7 7/10 =

13 1/5

Steps

Convert the mixed fraction into fraction

Find the lcm for both denominators

LCM(6, 10) = 30

Make all the denominators equal to each other

simplify the fraction

GCF(396, 30) = 6

Convert the fraction into mixed fraction

5

36

=

(5 x 6) + 36

=

30 + 36

=

336

7

710

=

(7 x 10) + 710

=

70 + 710

=

7710

336

+

7710

LCM(6, 10) = 30

Make all the denominators equal to each other

336

=

33 x 306 x 30

=

33 x 530

=

16530

7710

=

77 x 3010 x 30

=

77 x 330

=

23130

16530

+

23130

=

165 + 23130

=

39630

GCF(396, 30) = 6

39630

=

396 ÷ 630 ÷ 6

=

665

665

=

655

+

15

= 13

15

∴

5

36

+

7

710

=

13

15

20

10 7/9 + 3 4/8 =

14 5/18

Steps

Convert the mixed fraction into fraction

Find the lcm for both denominators

LCM(9, 8) = 72

Make all the denominators equal to each other

simplify the fraction

GCF(1028, 72) = 4

Convert the fraction into mixed fraction

10

79

=

(10 x 9) + 79

=

90 + 79

=

979

3

48

=

(3 x 8) + 48

=

24 + 48

=

288

979

+

288

LCM(9, 8) = 72

Make all the denominators equal to each other

979

=

97 x 729 x 72

=

97 x 872

=

77672

288

=

28 x 728 x 72

=

28 x 972

=

25272

77672

+

25272

=

776 + 25272

=

102872

GCF(1028, 72) = 4

102872

=

1028 ÷ 472 ÷ 4

=

25718

25718

=

25218

+

518

= 14

518

∴

10

79

+

3

48

=

14

518

Mixed 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 two mixed numbers.

In this sixth grade fraction worksheet, students are required to find the sum of two given mixed numbers for each problem of this worksheet. Convert the mixed numbers to equivalent irregular fractions, 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 find the sum of two numerators. The sum of numerators is the resulting fraction of these given two 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 of two mixed numbers.

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 numbers addition.

Related Worksheets

Related Challenges

Related Calculators

RankUpturn.com © 2017 - 2021

Loading...

Loading...

Loading...

Loading...

Kitty

Hey! I'm Kitty

I can answer you simple math queries!

Hey! I'm Kitty

I can answer you simple math queries!

Question
Kitty's Answer

Login
Register

Login
Register