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Fractions and Mixed Numbers Addition

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
5
78
=
(5 x 8) + 78
=
40 + 78
=
478
478
+
96
Find the lcm for both denominators
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
simplify the fraction
GCF(177, 24) = 3
17724
=
177 ÷ 324 ÷ 3
=
598
Convert the fraction into mixed fraction
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
1
69
=
(1 x 9) + 69
=
9 + 69
=
159
159
+
54
Find the lcm for both denominators
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
simplify the fraction
GCF(105, 36) = 3
10536
=
105 ÷ 336 ÷ 3
=
3512
Convert the fraction into mixed fraction
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
6
910
=
(6 x 10) + 910
=
60 + 910
=
6910
62
+
6910
Find the lcm for both denominators
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
Convert the fraction into mixed fraction
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
1
910
=
(1 x 10) + 910
=
10 + 910
=
1910
54
+
1910
Find the lcm for both denominators
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
Convert the fraction into mixed fraction
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
5
69
=
(5 x 9) + 69
=
45 + 69
=
519
65
+
519
Find the lcm for both denominators
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
simplify the fraction
GCF(309, 45) = 3
30945
=
309 ÷ 345 ÷ 3
=
10315
Convert the fraction into mixed fraction
10315
=
9015
+
1315
= 6
1315
∴
65
+
5
69
=
6
1315
6
7 4/8 + 10/4 =
10
Steps
Convert the mixed fraction into fraction
7
48
=
(7 x 8) + 48
=
56 + 48
=
608
608
+
104
Find the lcm for both denominators
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
simplify the fraction
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
9
37
=
(9 x 7) + 37
=
63 + 37
=
667
667
+
42
Find the lcm for both denominators
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
simplify the fraction
GCF(160, 14) = 2
16014
=
160 ÷ 214 ÷ 2
=
807
Convert the fraction into mixed fraction
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
1
35
=
(1 x 5) + 35
=
5 + 35
=
85
85
+
98
Find the lcm for both denominators
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
Convert the fraction into mixed fraction
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
1
26
=
(1 x 6) + 26
=
6 + 26
=
86
52
+
86
Find the lcm for both denominators
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
Convert the fraction into mixed fraction
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
7
49
=
(7 x 9) + 49
=
63 + 49
=
679
98
+
679
Find the lcm for both denominators
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
Convert the fraction into mixed fraction
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
4
78
=
(4 x 8) + 78
=
32 + 78
=
398
42
+
398
Find the lcm for both denominators
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
Convert the fraction into mixed fraction
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
1
59
=
(1 x 9) + 59
=
9 + 59
=
149
149
+
105
Find the lcm for both denominators
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
simplify the fraction
GCF(160, 45) = 5
16045
=
160 ÷ 545 ÷ 5
=
329
Convert the fraction into mixed fraction
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
6
210
=
(6 x 10) + 210
=
60 + 210
=
6210
6210
+
98
Find the lcm for both denominators
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
Convert the fraction into mixed fraction
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
3
810
=
(3 x 10) + 810
=
30 + 810
=
3810
52
+
3810
Find the lcm for both denominators
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
Convert the fraction into mixed fraction
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
2
34
=
(2 x 4) + 34
=
8 + 34
=
114
114
+
32
Find the lcm for both denominators
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
Convert the fraction into mixed fraction
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
4
35
=
(4 x 5) + 35
=
20 + 35
=
235
235
+
54
Find the lcm for both denominators
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
Convert the fraction into mixed fraction
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
3
26
=
(3 x 6) + 26
=
18 + 26
=
206
63
+
206
Find the lcm for both denominators
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
simplify the fraction
GCF(32, 6) = 2
326
=
32 ÷ 26 ÷ 2
=
163
Convert the fraction into mixed fraction
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
10
310
=
(10 x 10) + 310
=
100 + 310
=
10310
10310
+
85
Find the lcm for both denominators
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
Convert the fraction into mixed fraction
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
9
59
=
(9 x 9) + 59
=
81 + 59
=
869
98
+
869
Find the lcm for both denominators
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
Convert the fraction into mixed fraction
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
2
78
=
(2 x 8) + 78
=
16 + 78
=
238
85
+
238
Find the lcm for both denominators
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
Convert the fraction into mixed fraction
17940
=
16040
+
1940
= 4
1940
∴
85
+
2
78
=
4
1940

Addition with Mixed Numbers and Fractions Worksheet

Mixed number and fraction 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 fractions and mixed numbers.

How to Use this Worksheet

In this sixth grade fraction worksheet, students are required to find the sum of mixed number and fraction for each problem of this worksheet. Convert the mixed number to irregular fraction, 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 add the numerators. The sum of numerators divided by the common denominator is the sum of mixed number and fraction.

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 sum of fraction and mixed number.

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