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Fractions and Mixed Numbers Subtraction

Name Grade School
Date Questions20 Score
1
5/2 - 1 7/9 =
   
2
7/2 - 2 8/9 =
   
3
4 3/4 - 10/5 =
   
4
2 5/7 - 10/4 =
   
5
2 5/9 - 5/3 =
   
6
2 8/9 - 4/2 =
   
7
10 6/10 - 6/4 =
   
8
6 4/5 - 6/2 =
   
9
9 9/10 - 7/2 =
   
10
8 7/10 - 9/2 =
   
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
5/2 - 1 7/9 =
13/18
Steps
Convert the mixed fraction into fraction
1
79
=
(1 x 9) + 79
=
9 + 79
=
169
52
-
169
Find the lcm for both denominators
LCM(2, 9) = 18
Make all the denominators equal to each other
52
=
5 x 182 x 18
=
5 x 918
=
4518
169
=
16 x 189 x 18
=
16 x 218
=
3218
4518
-
3218
=
45 - 3218
=
1318
∴
52
-
1
79
=
1318
2
7/2 - 2 8/9 =
11/18
Steps
Convert the mixed fraction into fraction
2
89
=
(2 x 9) + 89
=
18 + 89
=
269
72
-
269
Find the lcm for both denominators
LCM(2, 9) = 18
Make all the denominators equal to each other
72
=
7 x 182 x 18
=
7 x 918
=
6318
269
=
26 x 189 x 18
=
26 x 218
=
5218
6318
-
5218
=
63 - 5218
=
1118
∴
72
-
2
89
=
1118
3
4 3/4 - 10/5 =
2 3/4
Steps
Convert the mixed fraction into fraction
4
34
=
(4 x 4) + 34
=
16 + 34
=
194
194
-
105
Find the lcm for both denominators
LCM(4, 5) = 20
Make all the denominators equal to each other
194
=
19 x 204 x 20
=
19 x 520
=
9520
105
=
10 x 205 x 20
=
10 x 420
=
4020
9520
-
4020
=
95 - 4020
=
5520
simplify the fraction
GCF(55, 20) = 5
5520
=
55 ÷ 520 ÷ 5
=
114
Convert the fraction into mixed fraction
114
=
84
+
34
= 2
34
∴
4
34
-
105
=
2
34
4
2 5/7 - 10/4 =
3/14
Steps
Convert the mixed fraction into fraction
2
57
=
(2 x 7) + 57
=
14 + 57
=
197
197
-
104
Find the lcm for both denominators
LCM(7, 4) = 28
Make all the denominators equal to each other
197
=
19 x 287 x 28
=
19 x 428
=
7628
104
=
10 x 284 x 28
=
10 x 728
=
7028
7628
-
7028
=
76 - 7028
=
628
simplify the fraction
GCF(6, 28) = 2
628
=
6 ÷ 228 ÷ 2
=
314
∴
2
57
-
104
=
314
5
2 5/9 - 5/3 =
8/9
Steps
Convert the mixed fraction into fraction
2
59
=
(2 x 9) + 59
=
18 + 59
=
239
239
-
53
Find the lcm for both denominators
LCM(9, 3) = 9
Make all the denominators equal to each other
239
=
23 x 99 x 9
=
23 x 19
=
239
53
=
5 x 93 x 9
=
5 x 39
=
159
239
-
159
=
23 - 159
=
89
∴
2
59
-
53
=
89
6
2 8/9 - 4/2 =
8/9
Steps
Convert the mixed fraction into fraction
2
89
=
(2 x 9) + 89
=
18 + 89
=
269
269
-
42
Find the lcm for both denominators
LCM(9, 2) = 18
Make all the denominators equal to each other
269
=
26 x 189 x 18
=
26 x 218
=
5218
42
=
4 x 182 x 18
=
4 x 918
=
3618
5218
-
3618
=
52 - 3618
=
1618
simplify the fraction
GCF(16, 18) = 2
1618
=
16 ÷ 218 ÷ 2
=
89
∴
2
89
-
42
=
89
7
10 6/10 - 6/4 =
9 1/10
Steps
Convert the mixed fraction into fraction
10
610
=
(10 x 10) + 610
=
100 + 610
=
10610
10610
-
64
Find the lcm for both denominators
LCM(10, 4) = 20
Make all the denominators equal to each other
10610
=
106 x 2010 x 20
=
106 x 220
=
21220
64
=
6 x 204 x 20
=
6 x 520
=
3020
21220
-
3020
=
212 - 3020
=
18220
simplify the fraction
GCF(182, 20) = 2
18220
=
182 ÷ 220 ÷ 2
=
9110
Convert the fraction into mixed fraction
9110
=
9010
+
110
= 9
110
∴
10
610
-
64
=
9
110
8
6 4/5 - 6/2 =
3 4/5
Steps
Convert the mixed fraction into fraction
6
45
=
(6 x 5) + 45
=
30 + 45
=
345
345
-
62
Find the lcm for both denominators
LCM(5, 2) = 10
Make all the denominators equal to each other
345
=
34 x 105 x 10
=
34 x 210
=
6810
62
=
6 x 102 x 10
=
6 x 510
=
3010
6810
-
3010
=
68 - 3010
=
3810
simplify the fraction
GCF(38, 10) = 2
3810
=
38 ÷ 210 ÷ 2
=
195
Convert the fraction into mixed fraction
195
=
155
+
45
= 3
45
∴
6
45
-
62
=
3
45
9
9 9/10 - 7/2 =
6 2/5
Steps
Convert the mixed fraction into fraction
9
910
=
(9 x 10) + 910
=
90 + 910
=
9910
9910
-
72
Find the lcm for both denominators
LCM(10, 2) = 10
Make all the denominators equal to each other
9910
=
99 x 1010 x 10
=
99 x 110
=
9910
72
=
7 x 102 x 10
=
7 x 510
=
3510
9910
-
3510
=
99 - 3510
=
6410
simplify the fraction
GCF(64, 10) = 2
6410
=
64 ÷ 210 ÷ 2
=
325
Convert the fraction into mixed fraction
325
=
305
+
25
= 6
25
∴
9
910
-
72
=
6
25
10
8 7/10 - 9/2 =
4 1/5
Steps
Convert the mixed fraction into fraction
8
710
=
(8 x 10) + 710
=
80 + 710
=
8710
8710
-
92
Find the lcm for both denominators
LCM(10, 2) = 10
Make all the denominators equal to each other
8710
=
87 x 1010 x 10
=
87 x 110
=
8710
92
=
9 x 102 x 10
=
9 x 510
=
4510
8710
-
4510
=
87 - 4510
=
4210
simplify the fraction
GCF(42, 10) = 2
4210
=
42 ÷ 210 ÷ 2
=
215
Convert the fraction into mixed fraction
215
=
205
+
15
= 4
15
∴
8
710
-
92
=
4
15
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

Subtraction with Mixed Numbers and Fractions Worksheet

Mixed numbers and fractions 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 subtracting a fraction from a mixed number or subtracting a mixed number from a fraction.

How to Use this Worksheet

In this sixth grade fraction worksheet, students are required to find the difference by subtracting a fraction from a mixed number or subtracting a mixed number from a fraction. 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 find the difference between the numerators. The difference of numerators divided by the common denominator is the difference 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 difference by subtracting a fraction from a mixed number or subtracting a mixed number from a fraction.

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