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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.

See some of our other supported math practice problems.

### 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.
 36
=
2.
 48
=

### 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.
 59
=
2.
 48
=

### 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.
 66
=
2.
 48
=

### 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.
 49
=
2.
 86
=

### 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 64
=
2.
 2 84
=

### 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 98
=
2.
 2 68
=

### 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.
 812
=
2.
 918
=

### 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 2014
=
2.
 48
=

### 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 2027
=
2.
 1220
=

### 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 2450
=
2.
 1 218
=

### 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.
 7875
=
2.
 2 1214
=

### 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 86116
=
2.
 3980
=

### 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
 36
=
Solution
The GCF of 3 and 6 is 3.
 36
=
 1 × 32 × 3
 12
2
 48
=
Solution
The GCF of 4 and 8 is 4.
 48
=
 1 × 42 × 4
 12

### 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
 59
=
Solution
The GCF of 5 and 9 is 1.
Therefore the fraction is in simplest form.
2
 48
=
Solution
The GCF of 4 and 8 is 4.
 48
=
 1 × 42 × 4
 12

### 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
 66
=
Solution
6 ÷ 6 = 1
1
2
 48
=
Solution
The GCF of 4 and 8 is 4.
 48
=
 1 × 42 × 4
 12

### 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
 49
=
Solution
The GCF of 4 and 9 is 1.
Therefore the fraction is in simplest form.
2
 86
=
Solution
8 ÷ 6 = 1 R 2
 1 26
The GCF of 2 and 6 is 2.
 1 26
=
 1 1 × 23 × 2
 1 13

### 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 64
=
Solution
 2 64
= 2 +
 64
6 ÷ 4 = 1 R 2
= 2 + 1 +
 24
 3 24
The GCF of 2 and 4 is 2.
 3 24
=
 3 1 × 22 × 2
 3 12
2
 2 84
=
Solution
 2 84
= 2 +
 84
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.

1
 1 98
=
Solution
 1 98
= 1 +
 98
9 ÷ 8 = 1 R 1
= 1 + 1 +
 18
 2 18
The GCF of 1 and 8 is 1.
Therefore the fraction is in simplest form.
2
 2 68
=
Solution
The GCF of 6 and 8 is 2.
 2 68
=
 2 3 × 24 × 2
 2 34

### 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
 812
=
Solution
The GCF of 8 and 12 is 4.
 812
=
 2 × 43 × 4
 23
2
 918
=
Solution
The GCF of 9 and 18 is 9.
 918
=
 1 × 92 × 9
 12

### 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 2014
=
Solution
 2 2014
= 2 +
 2014
20 ÷ 14 = 1 R 6
= 2 + 1 +
 614
 3 614
The GCF of 6 and 14 is 2.
 3 614
=
 3 3 × 27 × 2
 3 37
2
 48
=
Solution
The GCF of 4 and 8 is 4.
 48
=
 1 × 42 × 4
 12

### 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 2027
=
Solution
The GCF of 20 and 27 is 1.
Therefore the fraction is in simplest form.
2
 1220
=
Solution
The GCF of 12 and 20 is 4.
 1220
=
 3 × 45 × 4
 35

### 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 2450
=
Solution
The GCF of 24 and 50 is 2.
 1 2450
=
 1 12 × 225 × 2
 1 1225
2
 1 218
=
Solution
 1 218
= 1 +
 218
21 ÷ 8 = 2 R 5
= 1 + 2 +
 58
 3 58
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.

1
 7875
=
Solution
78 ÷ 75 = 1 R 3
 1 375
The GCF of 3 and 75 is 3.
 1 375
=
 1 1 × 325 × 3
 1 125
2
 2 1214
=
Solution
The GCF of 12 and 14 is 2.
 2 1214
=
 2 6 × 27 × 2
 2 67

### 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 86116
=
Solution
The GCF of 86 and 116 is 2.
 1 86116
=
 1 43 × 258 × 2
 1 4358