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These sample problems below for Fraction Addition were generated by the MathScore.com engine.

Sample Problems For Fraction Addition

Complexity=3, Mode=simple

Add each pair of fractions and simplify the result.
1.  
1
2
+
2
3
2.  
1
2
+
3
3

Complexity=4, Mode=simple

Add each pair of fractions and simplify the result.
1.  
1
2
+
1
3
2.  
1
2
+
1
4

Complexity=6, Mode=simple

Add each pair of fractions and simplify the result.
1.  
3
4
+
1
5
2.  
3
4
+
3
4

Complexity=3, Mode=improper

Add each pair of fractions and simplify the result.
1.  
2
3
+
2
3
2.  
3
2
+
3
3

Complexity=5, Mode=improper

Add each pair of fractions and simplify the result.
1.  
1
3
+
5
2
2.  
3
5
+
2
5

Complexity=7, Mode=improper

Add each pair of fractions and simplify the result.
1.  
2
3
+
3
4
2.  
4
7
+
4
7

Complexity=3, Mode=mixed

Add each pair of fractions and simplify the result.
1.  
3 2
3
+
1 2
3
2.  
3 1
2
+
1 2
3

Complexity=6, Mode=mixed

Add each pair of fractions and simplify the result.
1.  
4
6
+
1 2
5
2.  
3 2
5
+
1
6

Complexity=10, Mode=mixed

Add each pair of fractions and simplify the result.
1.  
2 4
7
+
2 2
4
2.  
1 5
9
+
3 3
6

Complexity=12, Mode=mixed-imp

Add each pair of fractions and simplify the result.
1.  
3 2
8
+
11
9
2.  
1 7
8
+
3 4
10

Complexity=20, Mode=mixed-imp

Add each pair of fractions and simplify the result.
1.  
19
16
+
3 3
20
2.  
20
8
+
2 9
4

Complexity=50, Mode=mixed-imp

Add each pair of fractions and simplify the result.
1.  
2 35
36
+
2 13
32
2.  
2 46
27
+
27
33

Answers

Complexity=3, Mode=simple

Add each pair of fractions and simplify the result.
#ProblemCorrect AnswerYour Answer
1
1
2
+
2
3
Solution
The lowest common denominator (LCD) is 6
Adjust the denominators to get this:
3
6
+
4
6
Add numerators to get this:
7
6
Now simplify to get this:
1 1
6
#ProblemCorrect AnswerYour Answer
2
1
2
+
3
3
Solution
Simplify fractions
1
2
+ 1
Add the whole numbers
1 1
2

Complexity=4, Mode=simple

Add each pair of fractions and simplify the result.
#ProblemCorrect AnswerYour Answer
1
1
2
+
1
3
Solution
The lowest common denominator (LCD) is 6
Adjust the denominators to get this:
3
6
+
2
6
Add numerators to get this:
5
6
#ProblemCorrect AnswerYour Answer
2
1
2
+
1
4
Solution
The lowest common denominator (LCD) is 4
Adjust the denominators to get this:
2
4
+
1
4
Add numerators to get this:
3
4

Complexity=6, Mode=simple

Add each pair of fractions and simplify the result.
#ProblemCorrect AnswerYour Answer
1
3
4
+
1
5
Solution
The lowest common denominator (LCD) is 20
Adjust the denominators to get this:
15
20
+
4
20
Add numerators to get this:
19
20
#ProblemCorrect AnswerYour Answer
2
3
4
+
3
4
Solution
Add numerators to get this:
6
4
Now simplify to get this:
1 1
2

Complexity=3, Mode=improper

Add each pair of fractions and simplify the result.
#ProblemCorrect AnswerYour Answer
1
2
3
+
2
3
Solution
Add numerators to get this:
4
3
Now simplify to get this:
1 1
3
#ProblemCorrect AnswerYour Answer
2
3
2
+
3
3
Solution
Simplify fractions
1 1
2
+ 1
Add the whole numbers
2 1
2

Complexity=5, Mode=improper

Add each pair of fractions and simplify the result.
#ProblemCorrect AnswerYour Answer
1
1
3
+
5
2
Solution
Simplify fractions
1
3
+
2 1
2
The lowest common denominator (LCD) is 6
Adjust the denominators to get this:
2
6
+
2 3
6
Add numerators to get this:
2 5
6
#ProblemCorrect AnswerYour Answer
2
3
5
+
2
5
Solution
Add numerators to get this:
5
5
Now simplify to get this:
1

Complexity=7, Mode=improper

Add each pair of fractions and simplify the result.
#ProblemCorrect AnswerYour Answer
1
2
3
+
3
4
Solution
The lowest common denominator (LCD) is 12
Adjust the denominators to get this:
8
12
+
9
12
Add numerators to get this:
17
12
Now simplify to get this:
1 5
12
#ProblemCorrect AnswerYour Answer
2
4
7
+
4
7
Solution
Add numerators to get this:
8
7
Now simplify to get this:
1 1
7

Complexity=3, Mode=mixed

Add each pair of fractions and simplify the result.
#ProblemCorrect AnswerYour Answer
1
3 2
3
+
1 2
3
Solution
Add numerators to get this:
4 4
3
Now simplify to get this:
5 1
3
#ProblemCorrect AnswerYour Answer
2
3 1
2
+
1 2
3
Solution
The lowest common denominator (LCD) is 6
Adjust the denominators to get this:
3 3
6
+
1 4
6
Add numerators to get this:
4 7
6
Now simplify to get this:
5 1
6

Complexity=6, Mode=mixed

Add each pair of fractions and simplify the result.
#ProblemCorrect AnswerYour Answer
1
4
6
+
1 2
5
Solution
Simplify fractions
2
3
+
1 2
5
The lowest common denominator (LCD) is 15
Adjust the denominators to get this:
10
15
+
1 6
15
Add numerators to get this:
1 16
15
Now simplify to get this:
2 1
15
#ProblemCorrect AnswerYour Answer
2
3 2
5
+
1
6
Solution
The lowest common denominator (LCD) is 30
Adjust the denominators to get this:
3 12
30
+
5
30
Add numerators to get this:
3 17
30

Complexity=10, Mode=mixed

Add each pair of fractions and simplify the result.
#ProblemCorrect AnswerYour Answer
1
2 4
7
+
2 2
4
Solution
Simplify fractions
2 4
7
+
2 1
2
The lowest common denominator (LCD) is 14
Adjust the denominators to get this:
2 8
14
+
2 7
14
Add numerators to get this:
4 15
14
Now simplify to get this:
5 1
14
#ProblemCorrect AnswerYour Answer
2
1 5
9
+
3 3
6
Solution
Simplify fractions
1 5
9
+
3 1
2
The lowest common denominator (LCD) is 18
Adjust the denominators to get this:
1 10
18
+
3 9
18
Add numerators to get this:
4 19
18
Now simplify to get this:
5 1
18

Complexity=12, Mode=mixed-imp

Add each pair of fractions and simplify the result.
#ProblemCorrect AnswerYour Answer
1
3 2
8
+
11
9
Solution
Simplify fractions
3 1
4
+
1 2
9
The lowest common denominator (LCD) is 36
Adjust the denominators to get this:
3 9
36
+
1 8
36
Add numerators to get this:
4 17
36
#ProblemCorrect AnswerYour Answer
2
1 7
8
+
3 4
10
Solution
Simplify fractions
1 7
8
+
3 2
5
The lowest common denominator (LCD) is 40
Adjust the denominators to get this:
1 35
40
+
3 16
40
Add numerators to get this:
4 51
40
Now simplify to get this:
5 11
40

Complexity=20, Mode=mixed-imp

Add each pair of fractions and simplify the result.
#ProblemCorrect AnswerYour Answer
1
19
16
+
3 3
20
Solution
Simplify fractions
1 3
16
+
3 3
20
The lowest common denominator (LCD) is 80
Adjust the denominators to get this:
1 15
80
+
3 12
80
Add numerators to get this:
4 27
80
#ProblemCorrect AnswerYour Answer
2
20
8
+
2 9
4
Solution
Simplify fractions
2 1
2
+
4 1
4
The lowest common denominator (LCD) is 4
Adjust the denominators to get this:
2 2
4
+
4 1
4
Add numerators to get this:
6 3
4

Complexity=50, Mode=mixed-imp

Add each pair of fractions and simplify the result.
#ProblemCorrect AnswerYour Answer
1
2 35
36
+
2 13
32
Solution
The lowest common denominator (LCD) is 288
Adjust the denominators to get this:
2 280
288
+
2 117
288
Add numerators to get this:
4 397
288
Now simplify to get this:
5 109
288
#ProblemCorrect AnswerYour Answer
2
2 46
27
+
27
33
Solution
Simplify fractions
3 19
27
+
9
11
The lowest common denominator (LCD) is 297
Adjust the denominators to get this:
3 209
297
+
243
297
Add numerators to get this:
3 452
297
Now simplify to get this:
4 155
297

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