Math Software Online: MathScore.com
  
MathScore EduFighter is one of the best math games on the Internet today. You can start playing for free!

Fraction Addition - Sample Math Practice Problems

The math problems below can be generated by MathScore.com, a math practice program for schools and individual families. References to complexity and mode refer to the overall difficulty of the problems as they appear in the main program. In the main program, all problems are automatically graded and the difficulty adapts dynamically based on performance. Answers to these sample questions appear at the bottom of the page. This page does not grade your responses.

Want unlimited math worksheets? Learn more about our online math practice software.
See some of our other supported math practice problems.

Complexity=3, Mode=simple

Add each pair of fractions and simplify the result.

1.  
2
3
+
1
3
2.  
2
3
+
2
3

Complexity=4, Mode=simple

Add each pair of fractions and simplify the result.

1.  
2
2
+
1
2
2.  
2
2
+
4
4

Complexity=6, Mode=simple

Add each pair of fractions and simplify the result.

1.  
1
2
+
2
3
2.  
2
4
+
1
4

Complexity=3, Mode=improper

Add each pair of fractions and simplify the result.

1.  
1
3
+
3
3
2.  
2
2
+
3
3

Complexity=5, Mode=improper

Add each pair of fractions and simplify the result.

1.  
1
5
+
1
4
2.  
4
2
+
5
2

Complexity=7, Mode=improper

Add each pair of fractions and simplify the result.

1.  
1
7
+
6
5
2.  
2
3
+
2
4

Complexity=3, Mode=mixed

Add each pair of fractions and simplify the result.

1.  
1 1
3
+
1 2
3
2.  
3 1
2
+
2 1
3

Complexity=6, Mode=mixed

Add each pair of fractions and simplify the result.

1.  
1
3
+
2 4
5
2.  
2 4
6
+
2
5

Complexity=10, Mode=mixed

Add each pair of fractions and simplify the result.

1.  
1 1
9
+
2 4
9
2.  
1 6
10
+
2 4
10

Complexity=12, Mode=mixed-imp

Add each pair of fractions and simplify the result.

1.  
3 11
12
+
2 5
4
2.  
2 5
8
+
2 7
10

Complexity=20, Mode=mixed-imp

Add each pair of fractions and simplify the result.

1.  
3 1
8
+
1 5
10
2.  
2 15
18
+
3 3
12

Complexity=50, Mode=mixed-imp

Add each pair of fractions and simplify the result.

1.  
2 10
32
+
3 5
44
2.  
11
22
+
3 35
32

Answers

Complexity=3, Mode=simple

Add each pair of fractions and simplify the result.

#ProblemCorrect AnswerYour Answer
1
2
3
+
1
3
Solution
Add numerators to get this:
3
3
Now simplify to get this:
1
#ProblemCorrect AnswerYour Answer
2
2
3
+
2
3
Solution
Add numerators to get this:
4
3
Now simplify to get this:
1 1
3

Complexity=4, Mode=simple

Add each pair of fractions and simplify the result.

#ProblemCorrect AnswerYour Answer
1
2
2
+
1
2
Solution
Simplify fractions
1 +
1
2
Add the whole numbers
1 1
2
#ProblemCorrect AnswerYour Answer
2
2
2
+
4
4
Solution
Simplify fractions
1 + 1
Add the whole numbers
2

Complexity=6, 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
2
4
+
1
4
Solution
Add numerators to get this:
3
4

Complexity=3, Mode=improper

Add each pair of fractions and simplify the result.

#ProblemCorrect AnswerYour Answer
1
1
3
+
3
3
Solution
Simplify fractions
1
3
+ 1
Add the whole numbers
1 1
3
#ProblemCorrect AnswerYour Answer
2
2
2
+
3
3
Solution
Simplify fractions
1 + 1
Add the whole numbers
2

Complexity=5, Mode=improper

Add each pair of fractions and simplify the result.

#ProblemCorrect AnswerYour Answer
1
1
5
+
1
4
Solution
The lowest common denominator (LCD) is 20
Adjust the denominators to get this:
4
20
+
5
20
Add numerators to get this:
9
20
#ProblemCorrect AnswerYour Answer
2
4
2
+
5
2
Solution
Add numerators to get this:
9
2
Now simplify to get this:
4 1
2

Complexity=7, Mode=improper

Add each pair of fractions and simplify the result.

#ProblemCorrect AnswerYour Answer
1
1
7
+
6
5
Solution
Simplify fractions
1
7
+
1 1
5
The lowest common denominator (LCD) is 35
Adjust the denominators to get this:
5
35
+
1 7
35
Add numerators to get this:
1 12
35
#ProblemCorrect AnswerYour Answer
2
2
3
+
2
4
Solution
Simplify fractions
2
3
+
1
2
The lowest common denominator (LCD) is 6
Adjust the denominators to get this:
4
6
+
3
6
Add numerators to get this:
7
6
Now simplify to get this:
1 1
6

Complexity=3, Mode=mixed

Add each pair of fractions and simplify the result.

#ProblemCorrect AnswerYour Answer
1
1 1
3
+
1 2
3
Solution
Add numerators to get this:
2 3
3
Now simplify to get this:
3
#ProblemCorrect AnswerYour Answer
2
3 1
2
+
2 1
3
Solution
The lowest common denominator (LCD) is 6
Adjust the denominators to get this:
3 3
6
+
2 2
6
Add numerators to get this:
5 5
6

Complexity=6, Mode=mixed

Add each pair of fractions and simplify the result.

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

Complexity=10, Mode=mixed

Add each pair of fractions and simplify the result.

#ProblemCorrect AnswerYour Answer
1
1 1
9
+
2 4
9
Solution
Add numerators to get this:
3 5
9
#ProblemCorrect AnswerYour Answer
2
1 6
10
+
2 4
10
Solution
Add numerators to get this:
3 10
10
Now simplify to get this:
4

Complexity=12, Mode=mixed-imp

Add each pair of fractions and simplify the result.

#ProblemCorrect AnswerYour Answer
1
3 11
12
+
2 5
4
Solution
Simplify fractions
3 11
12
+
3 1
4
The lowest common denominator (LCD) is 12
Adjust the denominators to get this:
3 11
12
+
3 3
12
Add numerators to get this:
6 14
12
Now simplify to get this:
7 1
6
#ProblemCorrect AnswerYour Answer
2
2 5
8
+
2 7
10
Solution
The lowest common denominator (LCD) is 40
Adjust the denominators to get this:
2 25
40
+
2 28
40
Add numerators to get this:
4 53
40
Now simplify to get this:
5 13
40

Complexity=20, Mode=mixed-imp

Add each pair of fractions and simplify the result.

#ProblemCorrect AnswerYour Answer
1
3 1
8
+
1 5
10
Solution
Simplify fractions
3 1
8
+
1 1
2
The lowest common denominator (LCD) is 8
Adjust the denominators to get this:
3 1
8
+
1 4
8
Add numerators to get this:
4 5
8
#ProblemCorrect AnswerYour Answer
2
2 15
18
+
3 3
12
Solution
Simplify fractions
2 5
6
+
3 1
4
The lowest common denominator (LCD) is 12
Adjust the denominators to get this:
2 10
12
+
3 3
12
Add numerators to get this:
5 13
12
Now simplify to get this:
6 1
12

Complexity=50, Mode=mixed-imp

Add each pair of fractions and simplify the result.

#ProblemCorrect AnswerYour Answer
1
2 10
32
+
3 5
44
Solution
Simplify fractions
2 5
16
+
3 5
44
The lowest common denominator (LCD) is 176
Adjust the denominators to get this:
2 55
176
+
3 20
176
Add numerators to get this:
5 75
176
#ProblemCorrect AnswerYour Answer
2
11
22
+
3 35
32
Solution
Simplify fractions
1
2
+
4 3
32
The lowest common denominator (LCD) is 32
Adjust the denominators to get this:
16
32
+
4 3
32
Add numerators to get this:
4 19
32
Learn more about our online math practice software.

"MathScore works."
- John Cradler, Educational Technology Expert
© Copyright 2010 Accurate Learning Systems Corp. All rights reserved.