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

Sample Problems For Fraction Subtraction

Complexity=3, Mode=simple

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

Complexity=4, Mode=simple

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

Complexity=6, Mode=simple

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

Complexity=3, Mode=improper

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

Complexity=5, Mode=improper

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

Complexity=7, Mode=improper

Subtract each pair of fractions and simplify the result.
1.  
4
3
-
2
4
2.  
7
4
-
7
5

Complexity=3, Mode=mixed

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

Complexity=6, Mode=mixed

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

Complexity=10, Mode=mixed

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

Complexity=12, Mode=mixed-imp

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

Complexity=20, Mode=mixed-imp

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

Complexity=50, Mode=mixed-imp

Subtract 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

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

Complexity=4, Mode=simple

Subtract each pair of fractions and simplify the result.
#ProblemCorrect AnswerYour Answer
1
1
2
-
2
4
Solution
Simplify fractions
1
2
-
1
2
Subtract the fractions to get this:
0
#ProblemCorrect AnswerYour Answer
2
1
2
-
1
4
Solution
The LCD is 4
Adjust the denominators to get this:
2
4
-
1
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
5
5
-
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
#ProblemCorrect AnswerYour Answer
2
3
4
-
2
3
Solution
The LCD is 12
Adjust the denominators to get this:
9
12
-
8
12
Subtract the fractions to get this:
1
12

Complexity=3, Mode=improper

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

Complexity=5, Mode=improper

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

Complexity=7, Mode=improper

Subtract each pair of fractions and simplify the result.
#ProblemCorrect AnswerYour Answer
1
4
3
-
2
4
Solution
Simplify fractions
1 1
3
-
1
2
The LCD is 6
Adjust the denominators to get this:
1 2
6
-
3
6
Numerator 3 > 2, so we must borrow a whole number
8
6
-
3
6
Subtract the fractions to get this:
5
6
#ProblemCorrect AnswerYour Answer
2
7
4
-
7
5
Solution
Simplify fractions
1 3
4
-
1 2
5
The LCD is 20
Adjust the denominators to get this:
1 15
20
-
1 8
20
Subtract the fractions to get this:
7
20

Complexity=3, Mode=mixed

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

Complexity=6, Mode=mixed

Subtract each pair of fractions and simplify the result.
#ProblemCorrect AnswerYour Answer
1
1 2
5
-
4
6
Solution
Simplify fractions
1 2
5
-
2
3
The LCD is 15
Adjust the denominators to get this:
1 6
15
-
10
15
Numerator 10 > 6, so we must borrow a whole number
21
15
-
10
15
Subtract the fractions to get this:
11
15
#ProblemCorrect AnswerYour Answer
2
3 2
5
-
1
6
Solution
The LCD is 30
Adjust the denominators to get this:
3 12
30
-
5
30
Subtract the fractions to get this:
3 7
30

Complexity=10, Mode=mixed

Subtract 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 LCD is 14
Adjust the denominators to get this:
2 8
14
-
2 7
14
Subtract the fractions to get this:
1
14
#ProblemCorrect AnswerYour Answer
2
3 3
6
-
1 5
9
Solution
Simplify fractions
3 1
2
-
1 5
9
The LCD is 18
Adjust the denominators to get this:
3 9
18
-
1 10
18
Numerator 10 > 9, so we must borrow a whole number
2 27
18
-
1 10
18
Subtract the fractions to get this:
1 17
18

Complexity=12, Mode=mixed-imp

Subtract 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 LCD is 36
Adjust the denominators to get this:
3 9
36
-
1 8
36
Subtract the fractions to get this:
2 1
36
#ProblemCorrect AnswerYour Answer
2
3 4
10
-
1 7
8
Solution
Simplify fractions
3 2
5
-
1 7
8
The LCD is 40
Adjust the denominators to get this:
3 16
40
-
1 35
40
Numerator 35 > 16, so we must borrow a whole number
2 56
40
-
1 35
40
Subtract the fractions to get this:
1 21
40

Complexity=20, Mode=mixed-imp

Subtract each pair of fractions and simplify the result.
#ProblemCorrect AnswerYour Answer
1
3 3
20
-
19
16
Solution
Simplify fractions
3 3
20
-
1 3
16
The LCD is 80
Adjust the denominators to get this:
3 12
80
-
1 15
80
Numerator 15 > 12, so we must borrow a whole number
2 92
80
-
1 15
80
Subtract the fractions to get this:
1 77
80
#ProblemCorrect AnswerYour Answer
2
2 9
4
-
20
8
Solution
Simplify fractions
4 1
4
-
2 1
2
The LCD is 4
Adjust the denominators to get this:
4 1
4
-
2 2
4
Numerator 2 > 1, so we must borrow a whole number
3 5
4
-
2 2
4
Subtract the fractions to get this:
1 3
4

Complexity=50, Mode=mixed-imp

Subtract each pair of fractions and simplify the result.
#ProblemCorrect AnswerYour Answer
1
2 35
36
-
2 13
32
Solution
The LCD is 288
Adjust the denominators to get this:
2 280
288
-
2 117
288
Subtract the fractions to get this:
163
288
#ProblemCorrect AnswerYour Answer
2
2 46
27
-
27
33
Solution
Simplify fractions
3 19
27
-
9
11
The LCD is 297
Adjust the denominators to get this:
3 209
297
-
243
297
Numerator 243 > 209, so we must borrow a whole number
2 506
297
-
243
297
Subtract the fractions to get this:
2 263
297

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