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Basic 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.  
1
4
=

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.  
4
9
=
2.  
6
10
=

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
4
=
2.  
4
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.  
12
10
=
2.  
8
8
=

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
1
4
=
Solution
The GCF of 1 and 4 is 1.
Therefore the fraction is in simplest form.

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
4
9
=
Solution
The GCF of 4 and 9 is 1.
Therefore the fraction is in simplest form.
#ProblemCorrect AnswerYour Answer
2
6
10
=
Solution
The GCF of 6 and 10 is 2.
6
10
=
3 × 2
5 × 2
3
5

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

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
12
10
=
Solution
12 ÷ 10 = 1 R 2
1 2
10
The GCF of 2 and 10 is 2.
1 2
10
=
1 1 × 2
5 × 2
1 1
5
#ProblemCorrect AnswerYour Answer
2
8
8
=
Solution
8 ÷ 8 = 1
1
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