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Mixed Numbers Addition and Subtraction

Name Grade School
Date Questions20 Score
1
5 2/6 + 10 7/8 =
   
2
5 4/8 + 8 5/7 =
   
3
1 3/4 + 7 3/9 =
   
4
2 3/7 + 6 7/10 =
   
5
2 5/6 + 4 4/5 =
   
6
9 5/6 + 2 6/8 =
   
7
2 6/7 + 7 3/4 =
   
8
5 3/10 + 1 8/9 =
   
9
5 3/6 + 7 7/10 =
   
10
10 7/9 + 3 4/8 =
   
11
4 3/5 - 3 5/10 =
   
12
3 5/7 - 2 5/6 =
   
13
4 2/6 - 1 7/10 =
   
14
7 7/8 - 4 2/5 =
   
15
8 4/8 - 8 2/9 =
   
16
10 5/8 - 9 9/10 =
   
17
10 4/10 - 7 7/9 =
   
18
9 2/3 - 2 2/9 =
   
19
3 5/10 - 1 3/4 =
   
20
9 2/5 - 5 7/9 =
   

Answers Key
Show All Workout
1
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
2
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
3
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
4
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
5
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
6
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
7
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
8
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
9
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
10
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
11
4 3/5 - 3 5/10 =
1 1/10
Steps
Convert the mixed fraction into fraction
4
35
=
(4 x 5) + 35
=
20 + 35
=
235
3
510
=
(3 x 10) + 510
=
30 + 510
=
3510
235
-
3510
Find the lcm for both denominators
LCM(5, 10) = 10
Make all the denominators equal to each other
235
=
23 x 105 x 10
=
23 x 210
=
4610
3510
=
35 x 1010 x 10
=
35 x 110
=
3510
4610
-
3510
=
46 - 3510
=
1110
Convert the fraction into mixed fraction
1110
=
1010
+
110
= 1
110
∴
4
35
-
3
510
=
1
110
12
3 5/7 - 2 5/6 =
37/42
Steps
Convert the mixed fraction into fraction
3
57
=
(3 x 7) + 57
=
21 + 57
=
267
2
56
=
(2 x 6) + 56
=
12 + 56
=
176
267
-
176
Find the lcm for both denominators
LCM(7, 6) = 42
Make all the denominators equal to each other
267
=
26 x 427 x 42
=
26 x 642
=
15642
176
=
17 x 426 x 42
=
17 x 742
=
11942
15642
-
11942
=
156 - 11942
=
3742
∴
3
57
-
2
56
=
3742
13
4 2/6 - 1 7/10 =
2 19/30
Steps
Convert the mixed fraction into fraction
4
26
=
(4 x 6) + 26
=
24 + 26
=
266
1
710
=
(1 x 10) + 710
=
10 + 710
=
1710
266
-
1710
Find the lcm for both denominators
LCM(6, 10) = 30
Make all the denominators equal to each other
266
=
26 x 306 x 30
=
26 x 530
=
13030
1710
=
17 x 3010 x 30
=
17 x 330
=
5130
13030
-
5130
=
130 - 5130
=
7930
Convert the fraction into mixed fraction
7930
=
6030
+
1930
= 2
1930
∴
4
26
-
1
710
=
2
1930
14
7 7/8 - 4 2/5 =
3 19/40
Steps
Convert the mixed fraction into fraction
7
78
=
(7 x 8) + 78
=
56 + 78
=
638
4
25
=
(4 x 5) + 25
=
20 + 25
=
225
638
-
225
Find the lcm for both denominators
LCM(8, 5) = 40
Make all the denominators equal to each other
638
=
63 x 408 x 40
=
63 x 540
=
31540
225
=
22 x 405 x 40
=
22 x 840
=
17640
31540
-
17640
=
315 - 17640
=
13940
Convert the fraction into mixed fraction
13940
=
12040
+
1940
= 3
1940
∴
7
78
-
4
25
=
3
1940
15
8 4/8 - 8 2/9 =
5/18
Steps
Convert the mixed fraction into fraction
8
48
=
(8 x 8) + 48
=
64 + 48
=
688
8
29
=
(8 x 9) + 29
=
72 + 29
=
749
688
-
749
Find the lcm for both denominators
LCM(8, 9) = 72
Make all the denominators equal to each other
688
=
68 x 728 x 72
=
68 x 972
=
61272
749
=
74 x 729 x 72
=
74 x 872
=
59272
61272
-
59272
=
612 - 59272
=
2072
simplify the fraction
GCF(20, 72) = 4
2072
=
20 ÷ 472 ÷ 4
=
518
∴
8
48
-
8
29
=
518
16
10 5/8 - 9 9/10 =
29/40
Steps
Convert the mixed fraction into fraction
10
58
=
(10 x 8) + 58
=
80 + 58
=
858
9
910
=
(9 x 10) + 910
=
90 + 910
=
9910
858
-
9910
Find the lcm for both denominators
LCM(8, 10) = 40
Make all the denominators equal to each other
858
=
85 x 408 x 40
=
85 x 540
=
42540
9910
=
99 x 4010 x 40
=
99 x 440
=
39640
42540
-
39640
=
425 - 39640
=
2940
∴
10
58
-
9
910
=
2940
17
10 4/10 - 7 7/9 =
2 28/45
Steps
Convert the mixed fraction into fraction
10
410
=
(10 x 10) + 410
=
100 + 410
=
10410
7
79
=
(7 x 9) + 79
=
63 + 79
=
709
10410
-
709
Find the lcm for both denominators
LCM(10, 9) = 90
Make all the denominators equal to each other
10410
=
104 x 9010 x 90
=
104 x 990
=
93690
709
=
70 x 909 x 90
=
70 x 1090
=
70090
93690
-
70090
=
936 - 70090
=
23690
simplify the fraction
GCF(236, 90) = 2
23690
=
236 ÷ 290 ÷ 2
=
11845
Convert the fraction into mixed fraction
11845
=
9045
+
2845
= 2
2845
∴
10
410
-
7
79
=
2
2845
18
9 2/3 - 2 2/9 =
7 4/9
Steps
Convert the mixed fraction into fraction
9
23
=
(9 x 3) + 23
=
27 + 23
=
293
2
29
=
(2 x 9) + 29
=
18 + 29
=
209
293
-
209
Find the lcm for both denominators
LCM(3, 9) = 9
Make all the denominators equal to each other
293
=
29 x 93 x 9
=
29 x 39
=
879
209
=
20 x 99 x 9
=
20 x 19
=
209
879
-
209
=
87 - 209
=
679
Convert the fraction into mixed fraction
679
=
639
+
49
= 7
49
∴
9
23
-
2
29
=
7
49
19
3 5/10 - 1 3/4 =
1 3/4
Steps
Convert the mixed fraction into fraction
3
510
=
(3 x 10) + 510
=
30 + 510
=
3510
1
34
=
(1 x 4) + 34
=
4 + 34
=
74
3510
-
74
Find the lcm for both denominators
LCM(10, 4) = 20
Make all the denominators equal to each other
3510
=
35 x 2010 x 20
=
35 x 220
=
7020
74
=
7 x 204 x 20
=
7 x 520
=
3520
7020
-
3520
=
70 - 3520
=
3520
simplify the fraction
GCF(35, 20) = 5
3520
=
35 ÷ 520 ÷ 5
=
74
Convert the fraction into mixed fraction
74
=
44
+
34
= 1
34
∴
3
510
-
1
34
=
1
34
20
9 2/5 - 5 7/9 =
3 28/45
Steps
Convert the mixed fraction into fraction
9
25
=
(9 x 5) + 25
=
45 + 25
=
475
5
79
=
(5 x 9) + 79
=
45 + 79
=
529
475
-
529
Find the lcm for both denominators
LCM(5, 9) = 45
Make all the denominators equal to each other
475
=
47 x 455 x 45
=
47 x 945
=
42345
529
=
52 x 459 x 45
=
52 x 545
=
26045
42345
-
26045
=
423 - 26045
=
16345
Convert the fraction into mixed fraction
16345
=
13545
+
2845
= 3
2845
∴
9
25
-
5
79
=
3
2845

Adding or Subtracting a Mixed Number to/from Mixed Number Worksheet

Mixed numbers addition and subtraction 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 together or subtracting a mixed number from another.

How to Use this Worksheet

In this sixth grade fraction worksheet, students are required to find the sum of or difference between two 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 or difference between the two numerators. The sum of or difference of numerators divided by the common denominator is the resulting fraction of these given two mixed numbers.

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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 or difference between two mixed numbers.

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