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Unlike Fractions Addition and Subtraction

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

Answers Key
Show All Workout
1
20/14 + 18/2 =
73/7
Steps
2014
+
182
Find the lcm for both denominators
LCM(14, 2) = 14
Make all the denominators equal to each other
2014
=
20 x 1414 x 14
=
20 x 114
=
2014
182
=
18 x 142 x 14
=
18 x 714
=
12614
2014
+
12614
=
20 + 12614
=
14614
simplify the fraction
GCF(146, 14) = 2
14614
=
146 ÷ 214 ÷ 2
=
737
∴
2014
+
182
=
737
2
15/13 + 16/7 =
313/91
Steps
1513
+
167
Find the lcm for both denominators
LCM(13, 7) = 91
Make all the denominators equal to each other
1513
=
15 x 9113 x 91
=
15 x 791
=
10591
167
=
16 x 917 x 91
=
16 x 1391
=
20891
10591
+
20891
=
105 + 20891
=
31391
∴
1513
+
167
=
31391
3
20/18 + 14/11 =
236/99
Steps
2018
+
1411
Find the lcm for both denominators
LCM(18, 11) = 198
Make all the denominators equal to each other
2018
=
20 x 19818 x 198
=
20 x 11198
=
220198
1411
=
14 x 19811 x 198
=
14 x 18198
=
252198
220198
+
252198
=
220 + 252198
=
472198
simplify the fraction
GCF(472, 198) = 2
472198
=
472 ÷ 2198 ÷ 2
=
23699
∴
2018
+
1411
=
23699
4
6/4 + 8/5 =
31/10
Steps
64
+
85
Find the lcm for both denominators
LCM(4, 5) = 20
Make all the denominators equal to each other
64
=
6 x 204 x 20
=
6 x 520
=
3020
85
=
8 x 205 x 20
=
8 x 420
=
3220
3020
+
3220
=
30 + 3220
=
6220
simplify the fraction
GCF(62, 20) = 2
6220
=
62 ÷ 220 ÷ 2
=
3110
∴
64
+
85
=
3110
5
15/2 + 12/10 =
87/10
Steps
152
+
1210
Find the lcm for both denominators
LCM(2, 10) = 10
Make all the denominators equal to each other
152
=
15 x 102 x 10
=
15 x 510
=
7510
1210
=
12 x 1010 x 10
=
12 x 110
=
1210
7510
+
1210
=
75 + 1210
=
8710
∴
152
+
1210
=
8710
6
19/17 + 15/9 =
142/51
Steps
1917
+
159
Find the lcm for both denominators
LCM(17, 9) = 153
Make all the denominators equal to each other
1917
=
19 x 15317 x 153
=
19 x 9153
=
171153
159
=
15 x 1539 x 153
=
15 x 17153
=
255153
171153
+
255153
=
171 + 255153
=
426153
simplify the fraction
GCF(426, 153) = 3
426153
=
426 ÷ 3153 ÷ 3
=
14251
∴
1917
+
159
=
14251
7
13/8 + 10/3 =
119/24
Steps
138
+
103
Find the lcm for both denominators
LCM(8, 3) = 24
Make all the denominators equal to each other
138
=
13 x 248 x 24
=
13 x 324
=
3924
103
=
10 x 243 x 24
=
10 x 824
=
8024
3924
+
8024
=
39 + 8024
=
11924
∴
138
+
103
=
11924
8
13/7 + 19/11 =
276/77
Steps
137
+
1911
Find the lcm for both denominators
LCM(7, 11) = 77
Make all the denominators equal to each other
137
=
13 x 777 x 77
=
13 x 1177
=
14377
1911
=
19 x 7711 x 77
=
19 x 777
=
13377
14377
+
13377
=
143 + 13377
=
27677
∴
137
+
1911
=
27677
9
11/10 + 19/7 =
267/70
Steps
1110
+
197
Find the lcm for both denominators
LCM(10, 7) = 70
Make all the denominators equal to each other
1110
=
11 x 7010 x 70
=
11 x 770
=
7770
197
=
19 x 707 x 70
=
19 x 1070
=
19070
7770
+
19070
=
77 + 19070
=
26770
∴
1110
+
197
=
26770
10
18/15 + 15/3 =
31/5
Steps
1815
+
153
Find the lcm for both denominators
LCM(15, 3) = 15
Make all the denominators equal to each other
1815
=
18 x 1515 x 15
=
18 x 115
=
1815
153
=
15 x 153 x 15
=
15 x 515
=
7515
1815
+
7515
=
18 + 7515
=
9315
simplify the fraction
GCF(93, 15) = 3
9315
=
93 ÷ 315 ÷ 3
=
315
∴
1815
+
153
=
315
11
7/4 - 12/10 =
11/20
Steps
74
-
1210
Find the lcm for both denominators
LCM(4, 10) = 20
Make all the denominators equal to each other
74
=
7 x 204 x 20
=
7 x 520
=
3520
1210
=
12 x 2010 x 20
=
12 x 220
=
2420
3520
-
2420
=
35 - 2420
=
1120
∴
74
-
1210
=
1120
12
18/11 - 9/8 =
45/88
Steps
1811
-
98
Find the lcm for both denominators
LCM(11, 8) = 88
Make all the denominators equal to each other
1811
=
18 x 8811 x 88
=
18 x 888
=
14488
98
=
9 x 888 x 88
=
9 x 1188
=
9988
14488
-
9988
=
144 - 9988
=
4588
∴
1811
-
98
=
4588
13
12/2 - 18/13 =
60/13
Steps
122
-
1813
Find the lcm for both denominators
LCM(2, 13) = 26
Make all the denominators equal to each other
122
=
12 x 262 x 26
=
12 x 1326
=
15626
1813
=
18 x 2613 x 26
=
18 x 226
=
3626
15626
-
3626
=
156 - 3626
=
12026
simplify the fraction
GCF(120, 26) = 2
12026
=
120 ÷ 226 ÷ 2
=
6013
∴
122
-
1813
=
6013
14
12/2 - 6/4 =
9/2
Steps
122
-
64
Find the lcm for both denominators
LCM(2, 4) = 4
Make all the denominators equal to each other
122
=
12 x 42 x 4
=
12 x 24
=
244
64
=
6 x 44 x 4
=
6 x 14
=
64
244
-
64
=
24 - 64
=
184
simplify the fraction
GCF(18, 4) = 2
184
=
18 ÷ 24 ÷ 2
=
92
∴
122
-
64
=
92
15
14/6 - 15/7 =
4/21
Steps
146
-
157
Find the lcm for both denominators
LCM(6, 7) = 42
Make all the denominators equal to each other
146
=
14 x 426 x 42
=
14 x 742
=
9842
157
=
15 x 427 x 42
=
15 x 642
=
9042
9842
-
9042
=
98 - 9042
=
842
simplify the fraction
GCF(8, 42) = 2
842
=
8 ÷ 242 ÷ 2
=
421
∴
146
-
157
=
421
16
13/8 - 15/14 =
31/56
Steps
138
-
1514
Find the lcm for both denominators
LCM(8, 14) = 56
Make all the denominators equal to each other
138
=
13 x 568 x 56
=
13 x 756
=
9156
1514
=
15 x 5614 x 56
=
15 x 456
=
6056
9156
-
6056
=
91 - 6056
=
3156
∴
138
-
1514
=
3156
17
11/6 - 13/10 =
8/15
Steps
116
-
1310
Find the lcm for both denominators
LCM(6, 10) = 30
Make all the denominators equal to each other
116
=
11 x 306 x 30
=
11 x 530
=
5530
1310
=
13 x 3010 x 30
=
13 x 330
=
3930
5530
-
3930
=
55 - 3930
=
1630
simplify the fraction
GCF(16, 30) = 2
1630
=
16 ÷ 230 ÷ 2
=
815
∴
116
-
1310
=
815
18
20/12 - 12/11 =
19/33
Steps
2012
-
1211
Find the lcm for both denominators
LCM(12, 11) = 132
Make all the denominators equal to each other
2012
=
20 x 13212 x 132
=
20 x 11132
=
220132
1211
=
12 x 13211 x 132
=
12 x 12132
=
144132
220132
-
144132
=
220 - 144132
=
76132
simplify the fraction
GCF(76, 132) = 4
76132
=
76 ÷ 4132 ÷ 4
=
1933
∴
2012
-
1211
=
1933
19
16/2 - 8/4 =
6
Steps
162
-
84
Find the lcm for both denominators
LCM(2, 4) = 4
Make all the denominators equal to each other
162
=
16 x 42 x 4
=
16 x 24
=
324
84
=
8 x 44 x 4
=
8 x 14
=
84
324
-
84
=
32 - 84
=
244
simplify the fraction
GCF(24, 4) = 4
244
=
24 ÷ 44 ÷ 4
=
61
= 6
∴
162
-
84
=
6
20
9/4 - 18/10 =
9/20
Steps
94
-
1810
Find the lcm for both denominators
LCM(4, 10) = 20
Make all the denominators equal to each other
94
=
9 x 204 x 20
=
9 x 520
=
4520
1810
=
18 x 2010 x 20
=
18 x 220
=
3620
4520
-
3620
=
45 - 3620
=
920
∴
94
-
1810
=
920

Adding or Subtracting a Fraction to/from Unlike Fraction Worksheet

Unlike Fractions 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 unlike fractions together or subtracting a fraction from an unlike fraction.

How to Use this Worksheet

In this sixth grade fraction worksheet, students are required to find the sum of or difference between two fractions having different denominators for each problem of this worksheet. Being unlike denominators, 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 fractions with unlike denominators.

Answers Key display

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 unlike fractions.

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