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Find the Sum of Two Mixed Numbers

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
4
210
=
(4 x 10) + 210
=
40 + 210
=
4210
1
23
=
(1 x 3) + 23
=
3 + 23
=
53
4210
+
53
Find the lcm for both denominators
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
simplify the fraction
GCF(176, 30) = 2
17630
=
176 ÷ 230 ÷ 2
=
8815
Convert the fraction into mixed fraction
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
7
57
=
(7 x 7) + 57
=
49 + 57
=
547
9
910
=
(9 x 10) + 910
=
90 + 910
=
9910
547
+
9910
Find the lcm for both denominators
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
Convert the fraction into mixed fraction
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
3
69
=
(3 x 9) + 69
=
27 + 69
=
339
7
710
=
(7 x 10) + 710
=
70 + 710
=
7710
339
+
7710
Find the lcm for both denominators
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
simplify the fraction
GCF(1023, 90) = 3
102390
=
1023 ÷ 390 ÷ 3
=
34130
Convert the fraction into mixed fraction
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
9
410
=
(9 x 10) + 410
=
90 + 410
=
9410
5
57
=
(5 x 7) + 57
=
35 + 57
=
407
9410
+
407
Find the lcm for both denominators
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
simplify the fraction
GCF(1058, 70) = 2
105870
=
1058 ÷ 270 ÷ 2
=
52935
Convert the fraction into mixed fraction
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
8
26
=
(8 x 6) + 26
=
48 + 26
=
506
6
69
=
(6 x 9) + 69
=
54 + 69
=
609
506
+
609
Find the lcm for both denominators
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
simplify the fraction
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
10
46
=
(10 x 6) + 46
=
60 + 46
=
646
9
24
=
(9 x 4) + 24
=
36 + 24
=
384
646
+
384
Find the lcm for both denominators
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
simplify the fraction
GCF(242, 12) = 2
24212
=
242 ÷ 212 ÷ 2
=
1216
Convert the fraction into mixed fraction
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
10
37
=
(10 x 7) + 37
=
70 + 37
=
737
4
910
=
(4 x 10) + 910
=
40 + 910
=
4910
737
+
4910
Find the lcm for both denominators
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
Convert the fraction into mixed fraction
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
9
46
=
(9 x 6) + 46
=
54 + 46
=
586
3
69
=
(3 x 9) + 69
=
27 + 69
=
339
586
+
339
Find the lcm for both denominators
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
simplify the fraction
GCF(240, 18) = 6
24018
=
240 ÷ 618 ÷ 6
=
403
Convert the fraction into mixed fraction
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
7
47
=
(7 x 7) + 47
=
49 + 47
=
537
3
59
=
(3 x 9) + 59
=
27 + 59
=
329
537
+
329
Find the lcm for both denominators
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
Convert the fraction into mixed fraction
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
8
810
=
(8 x 10) + 810
=
80 + 810
=
8810
2
45
=
(2 x 5) + 45
=
10 + 45
=
145
8810
+
145
Find the lcm for both denominators
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
simplify the fraction
GCF(116, 10) = 2
11610
=
116 ÷ 210 ÷ 2
=
585
Convert the fraction into mixed fraction
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
5
26
=
(5 x 6) + 26
=
30 + 26
=
326
10
78
=
(10 x 8) + 78
=
80 + 78
=
878
326
+
878
Find the lcm for both denominators
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
Convert the fraction into mixed fraction
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
5
48
=
(5 x 8) + 48
=
40 + 48
=
448
8
57
=
(8 x 7) + 57
=
56 + 57
=
617
448
+
617
Find the lcm for both denominators
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
simplify the fraction
GCF(796, 56) = 4
79656
=
796 ÷ 456 ÷ 4
=
19914
Convert the fraction into mixed fraction
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
1
34
=
(1 x 4) + 34
=
4 + 34
=
74
7
39
=
(7 x 9) + 39
=
63 + 39
=
669
74
+
669
Find the lcm for both denominators
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
simplify the fraction
GCF(327, 36) = 3
32736
=
327 ÷ 336 ÷ 3
=
10912
Convert the fraction into mixed fraction
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
2
37
=
(2 x 7) + 37
=
14 + 37
=
177
6
710
=
(6 x 10) + 710
=
60 + 710
=
6710
177
+
6710
Find the lcm for both denominators
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
Convert the fraction into mixed fraction
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
2
56
=
(2 x 6) + 56
=
12 + 56
=
176
4
45
=
(4 x 5) + 45
=
20 + 45
=
245
176
+
245
Find the lcm for both denominators
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
Convert the fraction into mixed fraction
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
9
56
=
(9 x 6) + 56
=
54 + 56
=
596
2
68
=
(2 x 8) + 68
=
16 + 68
=
228
596
+
228
Find the lcm for both denominators
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
simplify the fraction
GCF(302, 24) = 2
30224
=
302 ÷ 224 ÷ 2
=
15112
Convert the fraction into mixed fraction
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
2
67
=
(2 x 7) + 67
=
14 + 67
=
207
7
34
=
(7 x 4) + 34
=
28 + 34
=
314
207
+
314
Find the lcm for both denominators
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
Convert the fraction into mixed fraction
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
5
310
=
(5 x 10) + 310
=
50 + 310
=
5310
1
89
=
(1 x 9) + 89
=
9 + 89
=
179
5310
+
179
Find the lcm for both denominators
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
Convert the fraction into mixed fraction
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
5
36
=
(5 x 6) + 36
=
30 + 36
=
336
7
710
=
(7 x 10) + 710
=
70 + 710
=
7710
336
+
7710
Find the lcm for both denominators
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
simplify the fraction
GCF(396, 30) = 6
39630
=
396 ÷ 630 ÷ 6
=
665
Convert the fraction into mixed fraction
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
10
79
=
(10 x 9) + 79
=
90 + 79
=
979
3
48
=
(3 x 8) + 48
=
24 + 48
=
288
979
+
288
Find the lcm for both denominators
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
simplify the fraction
GCF(1028, 72) = 4
102872
=
1028 ÷ 472 ÷ 4
=
25718
Convert the fraction into mixed fraction
25718
=
25218
+
518
= 14
518
∴
10
79
+
3
48
=
14
518

Adding Two Mixed Numbers Worksheet

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.

How to Use this Worksheet

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.

Answers Key

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.

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