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

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I can answer you simple math queries!

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