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Fraction Subtraction - 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.

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Complexity=3, Mode=simple

Subtract each pair of fractions and simplify the result.
1.  
2
3
-
1
3
2.  
2
2
-
2
3

Complexity=4, Mode=simple

Subtract each pair of fractions and simplify the result.
1.  
1
3
-
1
3
2.  
3
3
-
3
4

Complexity=6, Mode=simple

Subtract each pair of fractions and simplify the result.
1.  
2
6
-
1
4
2.  
2
3
-
1
4

Complexity=3, Mode=improper

Subtract each pair of fractions and simplify the result.
1.  
3
2
-
1
2
2.  
2
3
-
2
3

Complexity=5, Mode=improper

Subtract each pair of fractions and simplify the result.
1.  
4
5
-
1
3
2.  
5
4
-
5
4

Complexity=7, Mode=improper

Subtract each pair of fractions and simplify the result.
1.  
4
3
-
5
6
2.  
6
4
-
6
5

Complexity=3, Mode=mixed

Subtract each pair of fractions and simplify the result.
1.  
3 2
3
-
1 2
3
2.  
1 1
3
-
1
3

Complexity=6, Mode=mixed

Subtract each pair of fractions and simplify the result.
1.  
3 4
5
-
1 4
5
2.  
2 2
6
-
1 3
5

Complexity=10, Mode=mixed

Subtract each pair of fractions and simplify the result.
1.  
3 6
9
-
3 6
10
2.  
2 4
10
-
2 3
9

Complexity=12, Mode=mixed-imp

Subtract each pair of fractions and simplify the result.
1.  
3 10
8
-
1 3
6
2.  
10
4
-
2
6

Complexity=20, Mode=mixed-imp

Subtract each pair of fractions and simplify the result.
1.  
2 11
4
-
3 18
16
2.  
14
4
-
9
20

Complexity=50, Mode=mixed-imp

Subtract each pair of fractions and simplify the result.
1.  
2 47
32
-
3 3
44
2.  
3 1
32
-
1 39
21

Answers

Complexity=3, Mode=simple

Subtract each pair of fractions and simplify the result.
#ProblemCorrect AnswerYour Answer
1
2
3
-
1
3
Solution
Subtract the fractions to get this:
1
3
#ProblemCorrect AnswerYour Answer
2
2
2
-
2
3
Solution
Simplify fractions
1 -
2
3
The LCD is 3
Adjust the denominators to get this:
3
3
-
2
3
Subtract the fractions to get this:
1
3

Complexity=4, Mode=simple

Subtract each pair of fractions and simplify the result.
#ProblemCorrect AnswerYour Answer
1
1
3
-
1
3
Solution
Subtract the fractions to get this:
0
#ProblemCorrect AnswerYour Answer
2
3
3
-
3
4
Solution
Simplify fractions
1 -
3
4
The LCD is 4
Adjust the denominators to get this:
4
4
-
3
4
Subtract the fractions to get this:
1
4

Complexity=6, Mode=simple

Subtract each pair of fractions and simplify the result.
#ProblemCorrect AnswerYour Answer
1
2
6
-
1
4
Solution
Simplify fractions
1
3
-
1
4
The LCD is 12
Adjust the denominators to get this:
4
12
-
3
12
Subtract the fractions to get this:
1
12
#ProblemCorrect AnswerYour Answer
2
2
3
-
1
4
Solution
The LCD is 12
Adjust the denominators to get this:
8
12
-
3
12
Subtract the fractions to get this:
5
12

Complexity=3, Mode=improper

Subtract each pair of fractions and simplify the result.
#ProblemCorrect AnswerYour Answer
1
3
2
-
1
2
Solution
Subtract the fractions to get this:
2
2
Now simplify to get this:
1
#ProblemCorrect AnswerYour Answer
2
2
3
-
2
3
Solution
Subtract the fractions to get this:
0

Complexity=5, Mode=improper

Subtract each pair of fractions and simplify the result.
#ProblemCorrect AnswerYour Answer
1
4
5
-
1
3
Solution
The LCD is 15
Adjust the denominators to get this:
12
15
-
5
15
Subtract the fractions to get this:
7
15
#ProblemCorrect AnswerYour Answer
2
5
4
-
5
4
Solution
Subtract the fractions to get this:
0

Complexity=7, Mode=improper

Subtract each pair of fractions and simplify the result.
#ProblemCorrect AnswerYour Answer
1
4
3
-
5
6
Solution
Simplify fractions
1 1
3
-
5
6
The LCD is 6
Adjust the denominators to get this:
1 2
6
-
5
6
Numerator 5 > 2, so we must borrow a whole number
8
6
-
5
6
Subtract the fractions to get this:
3
6
Now simplify to get this:
1
2
#ProblemCorrect AnswerYour Answer
2
6
4
-
6
5
Solution
Simplify fractions
1 1
2
-
1 1
5
The LCD is 10
Adjust the denominators to get this:
1 5
10
-
1 2
10
Subtract the fractions to get this:
3
10

Complexity=3, Mode=mixed

Subtract each pair of fractions and simplify the result.
#ProblemCorrect AnswerYour Answer
1
3 2
3
-
1 2
3
Solution
Subtract the fractions to get this:
2
#ProblemCorrect AnswerYour Answer
2
1 1
3
-
1
3
Solution
Subtract the fractions to get this:
1

Complexity=6, Mode=mixed

Subtract each pair of fractions and simplify the result.
#ProblemCorrect AnswerYour Answer
1
3 4
5
-
1 4
5
Solution
Subtract the fractions to get this:
2
#ProblemCorrect AnswerYour Answer
2
2 2
6
-
1 3
5
Solution
Simplify fractions
2 1
3
-
1 3
5
The LCD is 15
Adjust the denominators to get this:
2 5
15
-
1 9
15
Numerator 9 > 5, so we must borrow a whole number
1 20
15
-
1 9
15
Subtract the fractions to get this:
11
15

Complexity=10, Mode=mixed

Subtract each pair of fractions and simplify the result.
#ProblemCorrect AnswerYour Answer
1
3 6
9
-
3 6
10
Solution
Simplify fractions
3 2
3
-
3 3
5
The LCD is 15
Adjust the denominators to get this:
3 10
15
-
3 9
15
Subtract the fractions to get this:
1
15
#ProblemCorrect AnswerYour Answer
2
2 4
10
-
2 3
9
Solution
Simplify fractions
2 2
5
-
2 1
3
The LCD is 15
Adjust the denominators to get this:
2 6
15
-
2 5
15
Subtract the fractions to get this:
1
15

Complexity=12, Mode=mixed-imp

Subtract each pair of fractions and simplify the result.
#ProblemCorrect AnswerYour Answer
1
3 10
8
-
1 3
6
Solution
Simplify fractions
4 1
4
-
1 1
2
The LCD is 4
Adjust the denominators to get this:
4 1
4
-
1 2
4
Numerator 2 > 1, so we must borrow a whole number
3 5
4
-
1 2
4
Subtract the fractions to get this:
2 3
4
#ProblemCorrect AnswerYour Answer
2
10
4
-
2
6
Solution
Simplify fractions
2 1
2
-
1
3
The LCD is 6
Adjust the denominators to get this:
2 3
6
-
2
6
Subtract the fractions to get this:
2 1
6

Complexity=20, Mode=mixed-imp

Subtract each pair of fractions and simplify the result.
#ProblemCorrect AnswerYour Answer
1
2 11
4
-
3 18
16
Solution
Simplify fractions
4 3
4
-
4 1
8
The LCD is 8
Adjust the denominators to get this:
4 6
8
-
4 1
8
Subtract the fractions to get this:
5
8
#ProblemCorrect AnswerYour Answer
2
14
4
-
9
20
Solution
Simplify fractions
3 1
2
-
9
20
The LCD is 20
Adjust the denominators to get this:
3 10
20
-
9
20
Subtract the fractions to get this:
3 1
20

Complexity=50, Mode=mixed-imp

Subtract each pair of fractions and simplify the result.
#ProblemCorrect AnswerYour Answer
1
2 47
32
-
3 3
44
Solution
Simplify fractions
3 15
32
-
3 3
44
The LCD is 352
Adjust the denominators to get this:
3 165
352
-
3 24
352
Subtract the fractions to get this:
141
352
#ProblemCorrect AnswerYour Answer
2
3 1
32
-
1 39
21
Solution
Simplify fractions
3 1
32
-
2 6
7
The LCD is 224
Adjust the denominators to get this:
3 7
224
-
2 192
224
Numerator 192 > 7, so we must borrow a whole number
2 231
224
-
2 192
224
Subtract the fractions to get this:
39
224
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