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Fraction Simplification - 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=8, Mode=simple

Simplify each fraction.
The three input boxes are: whole number, numerator, and denominator.
If there is no whole number, leave it blank.
1.  
6
6
=
2.  
4
8
=

Complexity=12, Mode=simple

Simplify each fraction.
The three input boxes are: whole number, numerator, and denominator.
If there is no whole number, leave it blank.
1.  
8
9
=
2.  
4
12
=

Complexity=8, Mode=improper

Simplify each fraction.
The three input boxes are: whole number, numerator, and denominator.
If there is no whole number, leave it blank.
1.  
8
6
=
2.  
4
8
=

Complexity=12, Mode=improper

Simplify each fraction.
The three input boxes are: whole number, numerator, and denominator.
If there is no whole number, leave it blank.
1.  
6
10
=
2.  
4
8
=

Complexity=8, Mode=mixed

Simplify each fraction.
The three input boxes are: whole number, numerator, and denominator.
If there is no whole number, leave it blank.
1.  
8
4
=
2.  
4
8
=

Complexity=12, Mode=mixed

Simplify each fraction.
The three input boxes are: whole number, numerator, and denominator.
If there is no whole number, leave it blank.
1.  
1 8
6
=
2.  
1 12
8
=

Complexity=20, Mode=mixed

Simplify each fraction.
The three input boxes are: whole number, numerator, and denominator.
If there is no whole number, leave it blank.
1.  
4
10
=
2.  
1 20
15
=

Complexity=30, Mode=mixed

Simplify each fraction.
The three input boxes are: whole number, numerator, and denominator.
If there is no whole number, leave it blank.
1.  
8
30
=
2.  
22
10
=

Complexity=40, Mode=mixed

Simplify each fraction.
The three input boxes are: whole number, numerator, and denominator.
If there is no whole number, leave it blank.
1.  
1 9
9
=
2.  
27
39
=

Complexity=50, Mode=mixed

Simplify each fraction.
The three input boxes are: whole number, numerator, and denominator.
If there is no whole number, leave it blank.
1.  
2 8
15
=
2.  
1 12
33
=

Complexity=80, Mode=mixed

Simplify each fraction.
The three input boxes are: whole number, numerator, and denominator.
If there is no whole number, leave it blank.
1.  
2 16
20
=
2.  
2 25
51
=

Complexity=150, Mode=mixed

Simplify each fraction.
The three input boxes are: whole number, numerator, and denominator.
If there is no whole number, leave it blank.
1.  
44
56
=
2.  
57
82
=

Answers

Complexity=8, Mode=simple

Simplify each fraction.
The three input boxes are: whole number, numerator, and denominator.
If there is no whole number, leave it blank.
#ProblemCorrect AnswerYour Answer
1
6
6
=
Solution
6 ÷ 6 = 1
1
#ProblemCorrect AnswerYour Answer
2
4
8
=
Solution
The GCF of 4 and 8 is 4.
4
8
=
1 × 4
2 × 4
1
2

Complexity=12, Mode=simple

Simplify each fraction.
The three input boxes are: whole number, numerator, and denominator.
If there is no whole number, leave it blank.
#ProblemCorrect AnswerYour Answer
1
8
9
=
Solution
The GCF of 8 and 9 is 1.
Therefore the fraction is in simplest form.
#ProblemCorrect AnswerYour Answer
2
4
12
=
Solution
The GCF of 4 and 12 is 4.
4
12
=
1 × 4
3 × 4
1
3

Complexity=8, Mode=improper

Simplify each fraction.
The three input boxes are: whole number, numerator, and denominator.
If there is no whole number, leave it blank.
#ProblemCorrect AnswerYour Answer
1
8
6
=
Solution
8 ÷ 6 = 1 R 2
1 2
6
The GCF of 2 and 6 is 2.
1 2
6
=
1 1 × 2
3 × 2
1 1
3
#ProblemCorrect AnswerYour Answer
2
4
8
=
Solution
The GCF of 4 and 8 is 4.
4
8
=
1 × 4
2 × 4
1
2

Complexity=12, Mode=improper

Simplify each fraction.
The three input boxes are: whole number, numerator, and denominator.
If there is no whole number, leave it blank.
#ProblemCorrect AnswerYour Answer
1
6
10
=
Solution
The GCF of 6 and 10 is 2.
6
10
=
3 × 2
5 × 2
3
5
#ProblemCorrect AnswerYour Answer
2
4
8
=
Solution
The GCF of 4 and 8 is 4.
4
8
=
1 × 4
2 × 4
1
2

Complexity=8, Mode=mixed

Simplify each fraction.
The three input boxes are: whole number, numerator, and denominator.
If there is no whole number, leave it blank.
#ProblemCorrect AnswerYour Answer
1
8
4
=
Solution
8 ÷ 4 = 2
2
#ProblemCorrect AnswerYour Answer
2
4
8
=
Solution
The GCF of 4 and 8 is 4.
4
8
=
1 × 4
2 × 4
1
2

Complexity=12, Mode=mixed

Simplify each fraction.
The three input boxes are: whole number, numerator, and denominator.
If there is no whole number, leave it blank.
#ProblemCorrect AnswerYour Answer
1
1 8
6
=
Solution
2 1
3
= 1 +
8
6
8 ÷ 6 = 1 R 2
= 1 + 1 +
2
6
2 2
6
The GCF of 2 and 6 is 2.
2 2
6
=
2 1 × 2
3 × 2
2 1
3
#ProblemCorrect AnswerYour Answer
2
1 12
8
=
Solution
2 1
2
= 1 +
12
8
12 ÷ 8 = 1 R 4
= 1 + 1 +
4
8
2 4
8
The GCF of 4 and 8 is 4.
2 4
8
=
2 1 × 4
2 × 4
2 1
2

Complexity=20, Mode=mixed

Simplify each fraction.
The three input boxes are: whole number, numerator, and denominator.
If there is no whole number, leave it blank.
#ProblemCorrect AnswerYour Answer
1
4
10
=
Solution
The GCF of 4 and 10 is 2.
4
10
=
2 × 2
5 × 2
2
5
#ProblemCorrect AnswerYour Answer
2
1 20
15
=
Solution
2 1
3
= 1 +
20
15
20 ÷ 15 = 1 R 5
= 1 + 1 +
5
15
2 5
15
The GCF of 5 and 15 is 5.
2 5
15
=
2 1 × 5
3 × 5
2 1
3

Complexity=30, Mode=mixed

Simplify each fraction.
The three input boxes are: whole number, numerator, and denominator.
If there is no whole number, leave it blank.
#ProblemCorrect AnswerYour Answer
1
8
30
=
Solution
The GCF of 8 and 30 is 2.
8
30
=
4 × 2
15 × 2
4
15
#ProblemCorrect AnswerYour Answer
2
22
10
=
Solution
22 ÷ 10 = 2 R 2
2 2
10
The GCF of 2 and 10 is 2.
2 2
10
=
2 1 × 2
5 × 2
2 1
5

Complexity=40, Mode=mixed

Simplify each fraction.
The three input boxes are: whole number, numerator, and denominator.
If there is no whole number, leave it blank.
#ProblemCorrect AnswerYour Answer
1
1 9
9
=
Solution
2 = 1 +
9
9
9 ÷ 9 = 1
= 1 + 1
2
#ProblemCorrect AnswerYour Answer
2
27
39
=
Solution
The GCF of 27 and 39 is 3.
27
39
=
9 × 3
13 × 3
9
13

Complexity=50, Mode=mixed

Simplify each fraction.
The three input boxes are: whole number, numerator, and denominator.
If there is no whole number, leave it blank.
#ProblemCorrect AnswerYour Answer
1
2 8
15
=
Solution
The GCF of 8 and 15 is 1.
Therefore the fraction is in simplest form.
#ProblemCorrect AnswerYour Answer
2
1 12
33
=
Solution
The GCF of 12 and 33 is 3.
1 12
33
=
1 4 × 3
11 × 3
1 4
11

Complexity=80, Mode=mixed

Simplify each fraction.
The three input boxes are: whole number, numerator, and denominator.
If there is no whole number, leave it blank.
#ProblemCorrect AnswerYour Answer
1
2 16
20
=
Solution
The GCF of 16 and 20 is 4.
2 16
20
=
2 4 × 4
5 × 4
2 4
5
#ProblemCorrect AnswerYour Answer
2
2 25
51
=
Solution
The GCF of 25 and 51 is 1.
Therefore the fraction is in simplest form.

Complexity=150, Mode=mixed

Simplify each fraction.
The three input boxes are: whole number, numerator, and denominator.
If there is no whole number, leave it blank.
#ProblemCorrect AnswerYour Answer
1
44
56
=
Solution
The GCF of 44 and 56 is 4.
44
56
=
11 × 4
14 × 4
11
14
#ProblemCorrect AnswerYour Answer
2
57
82
=
Solution
The GCF of 57 and 82 is 1.
Therefore the fraction is in simplest form.
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