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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 boxes are whole number, numerator, and denominator.
If there is no whole number, leave it blank.

1.  
3
6
=
2.  
4
8
=

Complexity=12, Mode=simple

Simplify each fraction.
The three boxes are whole number, numerator, and denominator.
If there is no whole number, leave it blank.

1.  
5
9
=
2.  
4
8
=

Complexity=8, Mode=improper

Simplify each fraction.
The three 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=improper

Simplify each fraction.
The three boxes are whole number, numerator, and denominator.
If there is no whole number, leave it blank.

1.  
4
9
=
2.  
8
6
=

Complexity=8, Mode=mixed

Simplify each fraction.
The three boxes are whole number, numerator, and denominator.
If there is no whole number, leave it blank.

1.  
2 6
4
=
2.  
2 8
4
=

Complexity=12, Mode=mixed

Simplify each fraction.
The three boxes are whole number, numerator, and denominator.
If there is no whole number, leave it blank.

1.  
1 9
8
=
2.  
2 6
8
=

Complexity=20, Mode=mixed

Simplify each fraction.
The three boxes are whole number, numerator, and denominator.
If there is no whole number, leave it blank.

1.  
8
12
=
2.  
9
18
=

Complexity=30, Mode=mixed

Simplify each fraction.
The three boxes are whole number, numerator, and denominator.
If there is no whole number, leave it blank.

1.  
2 20
14
=
2.  
4
8
=

Complexity=40, Mode=mixed

Simplify each fraction.
The three boxes are whole number, numerator, and denominator.
If there is no whole number, leave it blank.

1.  
2 20
27
=
2.  
12
20
=

Complexity=50, Mode=mixed

Simplify each fraction.
The three boxes are whole number, numerator, and denominator.
If there is no whole number, leave it blank.

1.  
1 24
50
=
2.  
1 21
8
=

Complexity=80, Mode=mixed

Simplify each fraction.
The three boxes are whole number, numerator, and denominator.
If there is no whole number, leave it blank.

1.  
78
75
=
2.  
2 12
14
=

Complexity=150, Mode=mixed

Simplify each fraction.
The three boxes are whole number, numerator, and denominator.
If there is no whole number, leave it blank.

1.  
1 86
116
=
2.  
39
80
=

Answers

Complexity=8, Mode=simple

Simplify each fraction.
The three boxes are whole number, numerator, and denominator.
If there is no whole number, leave it blank.

#ProblemCorrect AnswerYour Answer
1
3
6
=
Solution
The GCF of 3 and 6 is 3.
3
6
=
1 × 3
2 × 3
1
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=simple

Simplify each fraction.
The three boxes are whole number, numerator, and denominator.
If there is no whole number, leave it blank.

#ProblemCorrect AnswerYour Answer
1
5
9
=
Solution
The GCF of 5 and 9 is 1.
Therefore the fraction is in simplest form.
#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=improper

Simplify each fraction.
The three 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=improper

Simplify each fraction.
The three boxes are whole number, numerator, and denominator.
If there is no whole number, leave it blank.

#ProblemCorrect AnswerYour Answer
1
4
9
=
Solution
The GCF of 4 and 9 is 1.
Therefore the fraction is in simplest form.
#ProblemCorrect AnswerYour Answer
2
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

Complexity=8, Mode=mixed

Simplify each fraction.
The three boxes are whole number, numerator, and denominator.
If there is no whole number, leave it blank.

#ProblemCorrect AnswerYour Answer
1
2 6
4
=
Solution
2 6
4
= 2 +
6
4
6 ÷ 4 = 1 R 2
= 2 + 1 +
2
4
3 2
4
The GCF of 2 and 4 is 2.
3 2
4
=
3 1 × 2
2 × 2
3 1
2
#ProblemCorrect AnswerYour Answer
2
2 8
4
=
Solution
2 8
4
= 2 +
8
4
8 ÷ 4 = 2
= 2 + 2
4

Complexity=12, Mode=mixed

Simplify each fraction.
The three boxes are whole number, numerator, and denominator.
If there is no whole number, leave it blank.

#ProblemCorrect AnswerYour Answer
1
1 9
8
=
Solution
1 9
8
= 1 +
9
8
9 ÷ 8 = 1 R 1
= 1 + 1 +
1
8
2 1
8
The GCF of 1 and 8 is 1.
Therefore the fraction is in simplest form.
#ProblemCorrect AnswerYour Answer
2
2 6
8
=
Solution
The GCF of 6 and 8 is 2.
2 6
8
=
2 3 × 2
4 × 2
2 3
4

Complexity=20, Mode=mixed

Simplify each fraction.
The three boxes are whole number, numerator, and denominator.
If there is no whole number, leave it blank.

#ProblemCorrect AnswerYour Answer
1
8
12
=
Solution
The GCF of 8 and 12 is 4.
8
12
=
2 × 4
3 × 4
2
3
#ProblemCorrect AnswerYour Answer
2
9
18
=
Solution
The GCF of 9 and 18 is 9.
9
18
=
1 × 9
2 × 9
1
2

Complexity=30, Mode=mixed

Simplify each fraction.
The three boxes are whole number, numerator, and denominator.
If there is no whole number, leave it blank.

#ProblemCorrect AnswerYour Answer
1
2 20
14
=
Solution
2 20
14
= 2 +
20
14
20 ÷ 14 = 1 R 6
= 2 + 1 +
6
14
3 6
14
The GCF of 6 and 14 is 2.
3 6
14
=
3 3 × 2
7 × 2
3 3
7
#ProblemCorrect AnswerYour Answer
2
4
8
=
Solution
The GCF of 4 and 8 is 4.
4
8
=
1 × 4
2 × 4
1
2

Complexity=40, Mode=mixed

Simplify each fraction.
The three boxes are whole number, numerator, and denominator.
If there is no whole number, leave it blank.

#ProblemCorrect AnswerYour Answer
1
2 20
27
=
Solution
The GCF of 20 and 27 is 1.
Therefore the fraction is in simplest form.
#ProblemCorrect AnswerYour Answer
2
12
20
=
Solution
The GCF of 12 and 20 is 4.
12
20
=
3 × 4
5 × 4
3
5

Complexity=50, Mode=mixed

Simplify each fraction.
The three boxes are whole number, numerator, and denominator.
If there is no whole number, leave it blank.

#ProblemCorrect AnswerYour Answer
1
1 24
50
=
Solution
The GCF of 24 and 50 is 2.
1 24
50
=
1 12 × 2
25 × 2
1 12
25
#ProblemCorrect AnswerYour Answer
2
1 21
8
=
Solution
1 21
8
= 1 +
21
8
21 ÷ 8 = 2 R 5
= 1 + 2 +
5
8
3 5
8
The GCF of 5 and 8 is 1.
Therefore the fraction is in simplest form.

Complexity=80, Mode=mixed

Simplify each fraction.
The three boxes are whole number, numerator, and denominator.
If there is no whole number, leave it blank.

#ProblemCorrect AnswerYour Answer
1
78
75
=
Solution
78 ÷ 75 = 1 R 3
1 3
75
The GCF of 3 and 75 is 3.
1 3
75
=
1 1 × 3
25 × 3
1 1
25
#ProblemCorrect AnswerYour Answer
2
2 12
14
=
Solution
The GCF of 12 and 14 is 2.
2 12
14
=
2 6 × 2
7 × 2
2 6
7

Complexity=150, Mode=mixed

Simplify each fraction.
The three boxes are whole number, numerator, and denominator.
If there is no whole number, leave it blank.

#ProblemCorrect AnswerYour Answer
1
1 86
116
=
Solution
The GCF of 86 and 116 is 2.
1 86
116
=
1 43 × 2
58 × 2
1 43
58
#ProblemCorrect AnswerYour Answer
2
39
80
=
Solution
The GCF of 39 and 80 is 1.
Therefore the fraction is in simplest form.
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