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Unlike Fractions Addition

Name Grade School
Date Questions10 Score
1
3/6
+
3/8
=
2
8/7
+
3/9
=
3
4/3
+
8/7
=
4
3/5
+
1/2
=
5
10/8
+
4/9
=
6
10/5
+
4/6
=
7
6/8
+
5/9
=
8
8/3
+
7/10
=
9
10/8
+
9/10
=
10
5/4
+
3/8
=

Answers Key
1
3/6
+
3/8
=
7/8
find the LCM for unlike denominators
LCM (6, 8) = 24
36
 = 
3 x 246 x 24
 = 
3 x 424
 = 
1224
38
 = 
3 x 248 x 24
 = 
3 x 324
 = 
924
36
  +  
38
 = 
1224
  +  
924
 = 
12  +  924
36
  +  
38
 = 
2124
simplify the above fraction
GCF(21, 24) = 3
2124
 = 
21 ÷ 324 ÷ 3
  = 
78
36
   +  
38
  = 
78
2
8/7
+
3/9
=
31/21
find the LCM for unlike denominators
LCM (7, 9) = 63
87
 = 
8 x 637 x 63
 = 
8 x 963
 = 
7263
39
 = 
3 x 639 x 63
 = 
3 x 763
 = 
2163
87
  +  
39
 = 
7263
  +  
2163
 = 
72  +  2163
87
  +  
39
 = 
9363
simplify the above fraction
GCF(93, 63) = 3
9363
 = 
93 ÷ 363 ÷ 3
  = 
3121
87
   +  
39
  = 
3121
3
4/3
+
8/7
=
52/21
find the LCM for unlike denominators
LCM (3, 7) = 21
43
 = 
4 x 213 x 21
 = 
4 x 721
 = 
2821
87
 = 
8 x 217 x 21
 = 
8 x 321
 = 
2421
43
  +  
87
 = 
2821
  +  
2421
 = 
28  +  2421
43
  +  
87
 = 
5221
4
3/5
+
1/2
=
11/10
find the LCM for unlike denominators
LCM (5, 2) = 10
35
 = 
3 x 105 x 10
 = 
3 x 210
 = 
610
12
 = 
1 x 102 x 10
 = 
1 x 510
 = 
510
35
  +  
12
 = 
610
  +  
510
 = 
6  +  510
35
  +  
12
 = 
1110
5
10/8
+
4/9
=
61/36
find the LCM for unlike denominators
LCM (8, 9) = 72
108
 = 
10 x 728 x 72
 = 
10 x 972
 = 
9072
49
 = 
4 x 729 x 72
 = 
4 x 872
 = 
3272
108
  +  
49
 = 
9072
  +  
3272
 = 
90  +  3272
108
  +  
49
 = 
12272
simplify the above fraction
GCF(122, 72) = 2
12272
 = 
122 ÷ 272 ÷ 2
  = 
6136
108
   +  
49
  = 
6136
6
10/5
+
4/6
=
8/3
find the LCM for unlike denominators
LCM (5, 6) = 30
105
 = 
10 x 305 x 30
 = 
10 x 630
 = 
6030
46
 = 
4 x 306 x 30
 = 
4 x 530
 = 
2030
105
  +  
46
 = 
6030
  +  
2030
 = 
60  +  2030
105
  +  
46
 = 
8030
simplify the above fraction
GCF(80, 30) = 10
8030
 = 
80 ÷ 1030 ÷ 10
  = 
83
105
   +  
46
  = 
83
7
6/8
+
5/9
=
47/36
find the LCM for unlike denominators
LCM (8, 9) = 72
68
 = 
6 x 728 x 72
 = 
6 x 972
 = 
5472
59
 = 
5 x 729 x 72
 = 
5 x 872
 = 
4072
68
  +  
59
 = 
5472
  +  
4072
 = 
54  +  4072
68
  +  
59
 = 
9472
simplify the above fraction
GCF(94, 72) = 2
9472
 = 
94 ÷ 272 ÷ 2
  = 
4736
68
   +  
59
  = 
4736
8
8/3
+
7/10
=
101/30
find the LCM for unlike denominators
LCM (3, 10) = 30
83
 = 
8 x 303 x 30
 = 
8 x 1030
 = 
8030
710
 = 
7 x 3010 x 30
 = 
7 x 330
 = 
2130
83
  +  
710
 = 
8030
  +  
2130
 = 
80  +  2130
83
  +  
710
 = 
10130
9
10/8
+
9/10
=
43/20
find the LCM for unlike denominators
LCM (8, 10) = 40
108
 = 
10 x 408 x 40
 = 
10 x 540
 = 
5040
910
 = 
9 x 4010 x 40
 = 
9 x 440
 = 
3640
108
  +  
910
 = 
5040
  +  
3640
 = 
50  +  3640
108
  +  
910
 = 
8640
simplify the above fraction
GCF(86, 40) = 2
8640
 = 
86 ÷ 240 ÷ 2
  = 
4320
108
   +  
910
  = 
4320
10
5/4
+
3/8
=
13/8
find the LCM for unlike denominators
LCM (4, 8) = 8
54
 = 
5 x 84 x 8
 = 
5 x 28
 = 
108
54
  +  
38
 = 
108
  +  
38
 = 
10  +  38
54
  +  
38
 = 
138

Adding Unlike Fractions Worksheet

Unlike fractions 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 fractions worksheet to practice adding two unlike fractions.

How to Use this Worksheet

In this sixth grade fraction worksheet, students are required to find the sum of fractions with different denominators. For adding fractions with unlike denominators, find the LCD of denominators, multiply LCD with both numerator and denominator of each fraction, simplify the fractions to have equal denominators and add the numerators. The sum of all numerators divided by the common denominator is the sum of two unlike fractions.

Answers Key

Teachers, 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 two unlike fractions.

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Students, teachers or parents can generate unlimited set of questions and answers by using this "NEW WORKSHEET" button to prepare exam, assignments, classwork or homework problems on unlike fractions addition by using LCM or LCD method.

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