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

Sample Problems For Fraction Simplification

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.  
4
4
=
2.  
4
6
=

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.  
6
6
=
2.  
1
6
=

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.  
6
6
=
2.  
8
4
=

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.  
8
8
=
2.  
8
10
=

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.  
1 6
4
=
2.  
2 8
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.  
4
12
=
2.  
1 12
6
=

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.  
6
9
=
2.  
2 12
12
=

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.  
28
24
=
2.  
2 15
12
=

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.  
40
9
=
2.  
2 14
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.  
1 15
14
=
2.  
2 25
9
=

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 77
80
=
2.  
26
26
=

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.  
1 100
40
=
2.  
1 121
81
=

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

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
6
6
=
Solution
6 ÷ 6 = 1
1
#ProblemCorrect AnswerYour Answer
2
1
6
=
Solution
The GCF of 1 and 6 is 1.
Therefore the fraction is in simplest form.

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
6
6
=
Solution
6 ÷ 6 = 1
1
#ProblemCorrect AnswerYour Answer
2
8
4
=
Solution
8 ÷ 4 = 2
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
8
8
=
Solution
8 ÷ 8 = 1
1
#ProblemCorrect AnswerYour Answer
2
8
10
=
Solution
The GCF of 8 and 10 is 2.
8
10
=
4 × 2
5 × 2
4
5

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

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
4
12
=
Solution
The GCF of 4 and 12 is 4.
4
12
=
1 × 4
3 × 4
1
3
#ProblemCorrect AnswerYour Answer
2
1 12
6
=
Solution
1 12
6
= 1 +
12
6
12 ÷ 6 = 2
= 1 + 2
3

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
6
9
=
Solution
The GCF of 6 and 9 is 3.
6
9
=
2 × 3
3 × 3
2
3
#ProblemCorrect AnswerYour Answer
2
2 12
12
=
Solution
2 12
12
= 2 +
12
12
12 ÷ 12 = 1
= 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
28
24
=
Solution
28 ÷ 24 = 1 R 4
1 4
24
The GCF of 4 and 24 is 4.
1 4
24
=
1 1 × 4
6 × 4
1 1
6
#ProblemCorrect AnswerYour Answer
2
2 15
12
=
Solution
2 15
12
= 2 +
15
12
15 ÷ 12 = 1 R 3
= 2 + 1 +
3
12
3 3
12
The GCF of 3 and 12 is 3.
3 3
12
=
3 1 × 3
4 × 3
3 1
4

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
40
9
=
Solution
40 ÷ 9 = 4 R 4
4 4
9
The GCF of 4 and 9 is 1.
Therefore the fraction is in simplest form.
#ProblemCorrect AnswerYour Answer
2
2 14
39
=
Solution
The GCF of 14 and 39 is 1.
Therefore the fraction is in simplest form.

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
1 15
14
=
Solution
1 15
14
= 1 +
15
14
15 ÷ 14 = 1 R 1
= 1 + 1 +
1
14
2 1
14
The GCF of 1 and 14 is 1.
Therefore the fraction is in simplest form.
#ProblemCorrect AnswerYour Answer
2
2 25
9
=
Solution
2 25
9
= 2 +
25
9
25 ÷ 9 = 2 R 7
= 2 + 2 +
7
9
4 7
9
The GCF of 7 and 9 is 1.
Therefore the fraction is in simplest form.

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 77
80
=
Solution
The GCF of 77 and 80 is 1.
Therefore the fraction is in simplest form.
#ProblemCorrect AnswerYour Answer
2
26
26
=
Solution
26 ÷ 26 = 1
1

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
1 100
40
=
Solution
1 100
40
= 1 +
100
40
100 ÷ 40 = 2 R 20
= 1 + 2 +
20
40
3 20
40
The GCF of 20 and 40 is 20.
3 20
40
=
3 1 × 20
2 × 20
3 1
2
#ProblemCorrect AnswerYour Answer
2
1 121
81
=
Solution
1 121
81
= 1 +
121
81
121 ÷ 81 = 1 R 40
= 1 + 1 +
40
81
2 40
81
The GCF of 40 and 81 is 1.
Therefore the fraction is in simplest form.

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