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Fractions and Mixed Numbers Addition and Subtraction

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

Answers Key
Show All Workout
1
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
2
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
3
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
4
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
5
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
6
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
7
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
8
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
9
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
10
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
11
9 3/8 - 10/6 =
7 17/24
Steps
Convert the mixed fraction into fraction
9
38
=
(9 x 8) + 38
=
72 + 38
=
758
758
-
106
Find the lcm for both denominators
LCM(8, 6) = 24
Make all the denominators equal to each other
758
=
75 x 248 x 24
=
75 x 324
=
22524
106
=
10 x 246 x 24
=
10 x 424
=
4024
22524
-
4024
=
225 - 4024
=
18524
Convert the fraction into mixed fraction
18524
=
16824
+
1724
= 7
1724
∴
9
38
-
106
=
7
1724
12
3 8/10 - 6/4 =
2 3/10
Steps
Convert the mixed fraction into fraction
3
810
=
(3 x 10) + 810
=
30 + 810
=
3810
3810
-
64
Find the lcm for both denominators
LCM(10, 4) = 20
Make all the denominators equal to each other
3810
=
38 x 2010 x 20
=
38 x 220
=
7620
64
=
6 x 204 x 20
=
6 x 520
=
3020
7620
-
3020
=
76 - 3020
=
4620
simplify the fraction
GCF(46, 20) = 2
4620
=
46 ÷ 220 ÷ 2
=
2310
Convert the fraction into mixed fraction
2310
=
2010
+
310
= 2
310
∴
3
810
-
64
=
2
310
13
8 2/10 - 4/2 =
6 1/5
Steps
Convert the mixed fraction into fraction
8
210
=
(8 x 10) + 210
=
80 + 210
=
8210
8210
-
42
Find the lcm for both denominators
LCM(10, 2) = 10
Make all the denominators equal to each other
8210
=
82 x 1010 x 10
=
82 x 110
=
8210
42
=
4 x 102 x 10
=
4 x 510
=
2010
8210
-
2010
=
82 - 2010
=
6210
simplify the fraction
GCF(62, 10) = 2
6210
=
62 ÷ 210 ÷ 2
=
315
Convert the fraction into mixed fraction
315
=
305
+
15
= 6
15
∴
8
210
-
42
=
6
15
14
5 2/4 - 8/6 =
4 1/6
Steps
Convert the mixed fraction into fraction
5
24
=
(5 x 4) + 24
=
20 + 24
=
224
224
-
86
Find the lcm for both denominators
LCM(4, 6) = 12
Make all the denominators equal to each other
224
=
22 x 124 x 12
=
22 x 312
=
6612
86
=
8 x 126 x 12
=
8 x 212
=
1612
6612
-
1612
=
66 - 1612
=
5012
simplify the fraction
GCF(50, 12) = 2
5012
=
50 ÷ 212 ÷ 2
=
256
Convert the fraction into mixed fraction
256
=
246
+
16
= 4
16
∴
5
24
-
86
=
4
16
15
9 7/9 - 8/4 =
7 7/9
Steps
Convert the mixed fraction into fraction
9
79
=
(9 x 9) + 79
=
81 + 79
=
889
889
-
84
Find the lcm for both denominators
LCM(9, 4) = 36
Make all the denominators equal to each other
889
=
88 x 369 x 36
=
88 x 436
=
35236
84
=
8 x 364 x 36
=
8 x 936
=
7236
35236
-
7236
=
352 - 7236
=
28036
simplify the fraction
GCF(280, 36) = 4
28036
=
280 ÷ 436 ÷ 4
=
709
Convert the fraction into mixed fraction
709
=
639
+
79
= 7
79
∴
9
79
-
84
=
7
79
16
9 5/6 - 8/5 =
8 7/30
Steps
Convert the mixed fraction into fraction
9
56
=
(9 x 6) + 56
=
54 + 56
=
596
596
-
85
Find the lcm for both denominators
LCM(6, 5) = 30
Make all the denominators equal to each other
596
=
59 x 306 x 30
=
59 x 530
=
29530
85
=
8 x 305 x 30
=
8 x 630
=
4830
29530
-
4830
=
295 - 4830
=
24730
Convert the fraction into mixed fraction
24730
=
24030
+
730
= 8
730
∴
9
56
-
85
=
8
730
17
7 7/8 - 9/7 =
6 33/56
Steps
Convert the mixed fraction into fraction
7
78
=
(7 x 8) + 78
=
56 + 78
=
638
638
-
97
Find the lcm for both denominators
LCM(8, 7) = 56
Make all the denominators equal to each other
638
=
63 x 568 x 56
=
63 x 756
=
44156
97
=
9 x 567 x 56
=
9 x 856
=
7256
44156
-
7256
=
441 - 7256
=
36956
Convert the fraction into mixed fraction
36956
=
33656
+
3356
= 6
3356
∴
7
78
-
97
=
6
3356
18
1 2/4 - 9/7 =
3/14
Steps
Convert the mixed fraction into fraction
1
24
=
(1 x 4) + 24
=
4 + 24
=
64
64
-
97
Find the lcm for both denominators
LCM(4, 7) = 28
Make all the denominators equal to each other
64
=
6 x 284 x 28
=
6 x 728
=
4228
97
=
9 x 287 x 28
=
9 x 428
=
3628
4228
-
3628
=
42 - 3628
=
628
simplify the fraction
GCF(6, 28) = 2
628
=
6 ÷ 228 ÷ 2
=
314
∴
1
24
-
97
=
314
19
3 3/8 - 10/3 =
1/24
Steps
Convert the mixed fraction into fraction
3
38
=
(3 x 8) + 38
=
24 + 38
=
278
278
-
103
Find the lcm for both denominators
LCM(8, 3) = 24
Make all the denominators equal to each other
278
=
27 x 248 x 24
=
27 x 324
=
8124
103
=
10 x 243 x 24
=
10 x 824
=
8024
8124
-
8024
=
81 - 8024
=
124
∴
3
38
-
103
=
124
20
3 2/9 - 7/4 =
1 17/36
Steps
Convert the mixed fraction into fraction
3
29
=
(3 x 9) + 29
=
27 + 29
=
299
299
-
74
Find the lcm for both denominators
LCM(9, 4) = 36
Make all the denominators equal to each other
299
=
29 x 369 x 36
=
29 x 436
=
11636
74
=
7 x 364 x 36
=
7 x 936
=
6336
11636
-
6336
=
116 - 6336
=
5336
Convert the fraction into mixed fraction
5336
=
3636
+
1736
= 1
1736
∴
3
29
-
74
=
1
1736

Addition & Subtraction with Mixed Numbers and Fractions Worksheet

Fractions and 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 fractions with mixed numbers, subtracting a mixed number from a fraction or subtracting a fraction from a mixed number.

How to Use this Worksheet

In this sixth grade fraction worksheet, students are required to find the sum of or difference between fraction and mixed number for each problem of this worksheet. Convert the irregular mixed number to its equivalent improper fraction, find the LCM or LCD of denominators, multiply LCD with both numerator and denominators of each fractions, simplify the fractions to have equal denominators and find the sum of or difference between the two numerators. The sum of or difference between numerators divided by the common denominator is the resulting fraction of these given mixed number and fraction for addition or subtraction.

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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 mixed number and fraction.

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