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

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kuku

Hey! I'm kuku

I can answer you simple math queries!

Hey! I'm kuku

I can answer you simple math queries!

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