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## Fraction Division - 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=3, Mode=simple

Divide each pair of fractions and simplify the result.

1.
 22
÷
 22
2.
 12
÷
 22

### Complexity=4, Mode=simple

Divide each pair of fractions and simplify the result.

1.
 34
÷
 34
2.
 24
÷
 12

### Complexity=6, Mode=simple

Divide each pair of fractions and simplify the result.

1.
 35
÷
 15
2.
 35
÷
 13

### Complexity=3, Mode=improper

Divide each pair of fractions and simplify the result.

1.
 32
÷
 12
2.
 22
÷
 13

### Complexity=5, Mode=improper

Divide each pair of fractions and simplify the result.

1.
 44
÷
 13
2.
 23
÷
 14

### Complexity=7, Mode=improper

Divide each pair of fractions and simplify the result.

1.
 23
÷
 64
2.
 57
÷
 26

### Complexity=3, Mode=mixed

Divide each pair of fractions and simplify the result.

1.
 1 23
÷
 1 13
2.
 1 12
÷
 3 13

### Complexity=6, Mode=mixed

Divide each pair of fractions and simplify the result.

1.
 25
÷
 2 46
2.
 1 25
÷
 2 34

### Complexity=10, Mode=mixed

Divide each pair of fractions and simplify the result.

1.
 1 69
÷
 78
2.
 2 48
÷
 2 68

### Complexity=12, Mode=mixed-imp

Divide each pair of fractions and simplify the result.

1.
 3 19
÷
 2 128
2.
 3 410
÷
 3 59

### Complexity=20, Mode=mixed-imp

Divide each pair of fractions and simplify the result.

1.
 3 320
÷
 520
2.
 3 1114
÷
 2 1714

### Complexity=50, Mode=mixed-imp

Divide each pair of fractions and simplify the result.

1.
 3 4726
÷
 358
2.
 1 2342
÷
 2 2946

### Complexity=3, Mode=simple

Divide each pair of fractions and simplify the result.

1
 22
÷
 22
Solution
Flip the second fraction and reverse the operator to multiplication
 22
×
 22
Simplify fractions to reduce denominators.
 1 × 1

Multiply
1
2
 12
÷
 22
Solution
Flip the second fraction and reverse the operator to multiplication
 12
×
 22
Simplify fractions to reduce denominators.
 12
× 1
 12

### Complexity=4, Mode=simple

Divide each pair of fractions and simplify the result.

1
 34
÷
 34
Solution
Flip the second fraction and reverse the operator to multiplication
 34
×
 43
Eliminate common factors.
 1 × 31 × 4
×
 1 × 41 × 3
 11
×
 11
Multiply numerators and denominators.
 11
Now simplify.
1
2
 24
÷
 12
Solution
Flip the second fraction and reverse the operator to multiplication
 24
×
 21
Simplify fractions to reduce denominators.
 12
×
 21
Eliminate common factors.
 11 × 2
×
 1 × 21
 11
×
 11
Multiply numerators and denominators.
 11
Now simplify.
1

### Complexity=6, Mode=simple

Divide each pair of fractions and simplify the result.

1
 35
÷
 15
Solution
Flip the second fraction and reverse the operator to multiplication
 35
×
 51
Eliminate common factors.
 31 × 5
×
 1 × 51
 31
×
 11
Multiply numerators and denominators.
 31
Now simplify.
3
2
 35
÷
 13
Solution
Flip the second fraction and reverse the operator to multiplication
 35
×
 31
Multiply numerators and denominators.
 95
Now simplify.
 1 45

### Complexity=3, Mode=improper

Divide each pair of fractions and simplify the result.

1
 32
÷
 12
Solution
Flip the second fraction and reverse the operator to multiplication
 32
×
 21
Eliminate common factors.
 31 × 2
×
 1 × 21
 31
×
 11
Multiply numerators and denominators.
 31
Now simplify.
3
2
 22
÷
 13
Solution
Flip the second fraction and reverse the operator to multiplication
 22
×
 31
Simplify fractions to reduce denominators.
1 ×
 31
Now simplify.
3

### Complexity=5, Mode=improper

Divide each pair of fractions and simplify the result.

1
 44
÷
 13
Solution
Flip the second fraction and reverse the operator to multiplication
 44
×
 31
Simplify fractions to reduce denominators.
1 ×
 31
Now simplify.
3
2
 23
÷
 14
Solution
Flip the second fraction and reverse the operator to multiplication
 23
×
 41
Multiply numerators and denominators.
 83
Now simplify.
 2 23

### Complexity=7, Mode=improper

Divide each pair of fractions and simplify the result.

1
 23
÷
 64
Solution
Flip the second fraction and reverse the operator to multiplication
 23
×
 46
Simplify fractions to reduce denominators.
 23
×
 23
Multiply numerators and denominators.
 49
2
 57
÷
 26
Solution
Flip the second fraction and reverse the operator to multiplication
 57
×
 62
Simplify fractions to reduce denominators.
 57
× 3
Convert to improper fractions.
 57
×
 31
Multiply numerators and denominators.
 157
Now simplify.
 2 17

### Complexity=3, Mode=mixed

Divide each pair of fractions and simplify the result.

1
 1 23
÷
 1 13
Solution
Convert into improper fractions.
 53
÷
 43
Flip the second fraction and reverse the operator to multiplication
 53
×
 34
Eliminate common factors.
 51 × 3
×
 1 × 34
 51
×
 14
Multiply numerators and denominators.
 54
Now simplify.
 1 14
2
 1 12
÷
 3 13
Solution
Convert into improper fractions.
 32
÷
 103
Flip the second fraction and reverse the operator to multiplication
 32
×
 310
Multiply numerators and denominators.
 920

### Complexity=6, Mode=mixed

Divide each pair of fractions and simplify the result.

1
 25
÷
 2 46
Solution
Convert into improper fractions.
 25
÷
 166
Flip the second fraction and reverse the operator to multiplication
 25
×
 616
Simplify fractions to reduce denominators.
 25
×
 38
Eliminate common factors.
 1 × 25
×
 34 × 2
 15
×
 34
Multiply numerators and denominators.
 320
2
 1 25
÷
 2 34
Solution
Convert into improper fractions.
 75
÷
 114
Flip the second fraction and reverse the operator to multiplication
 75
×
 411
Multiply numerators and denominators.
 2855

### Complexity=10, Mode=mixed

Divide each pair of fractions and simplify the result.

1
 1 69
÷
 78
Solution
Convert into improper fractions.
 159
÷
 78
Flip the second fraction and reverse the operator to multiplication
 159
×
 87
Simplify fractions to reduce denominators.
 1 23
×
 87
Convert to improper fractions.
 53
×
 87
Multiply numerators and denominators.
 4021
Now simplify.
 1 1921
2
 2 48
÷
 2 68
Solution
Convert into improper fractions.
 208
÷
 228
Flip the second fraction and reverse the operator to multiplication
 208
×
 822
Simplify fractions to reduce denominators.
 2 12
×
 411
Convert to improper fractions.
 52
×
 411
Eliminate common factors.
 51 × 2
×
 2 × 211
 51
×
 211
Multiply numerators and denominators.
 1011

### Complexity=12, Mode=mixed-imp

Divide each pair of fractions and simplify the result.

1
 3 19
÷
 2 128
Solution
Convert into improper fractions.
 289
÷
 288
Flip the second fraction and reverse the operator to multiplication
 289
×
 828
Simplify fractions to reduce denominators.
 289
×
 27
Eliminate common factors.
 4 × 79
×
 21 × 7
 49
×
 21
Multiply numerators and denominators.
 89
2
 3 410
÷
 3 59
Solution
Convert into improper fractions.
 3410
÷
 329
Flip the second fraction and reverse the operator to multiplication
 3410
×
 932
Simplify fractions to reduce denominators.
 3 25
×
 932
Convert to improper fractions.
 175
×
 932
Multiply numerators and denominators.
 153160

### Complexity=20, Mode=mixed-imp

Divide each pair of fractions and simplify the result.

1
 3 320
÷
 520
Solution
Convert into improper fractions.
 6320
÷
 520
Flip the second fraction and reverse the operator to multiplication
 6320
×
 205
Simplify fractions to reduce denominators.
 6320
× 4
Convert to improper fractions.
 6320
×
 41
Eliminate common factors.
 635 × 4
×
 1 × 41
 635
×
 11
Multiply numerators and denominators.
 635
Now simplify.
 12 35
2
 3 1114
÷
 2 1714
Solution
Convert into improper fractions.
 5314
÷
 4514
Flip the second fraction and reverse the operator to multiplication
 5314
×
 1445
Eliminate common factors.
 531 × 14
×
 1 × 1445
 531
×
 145
Multiply numerators and denominators.
 5345
Now simplify.
 1 845

### Complexity=50, Mode=mixed-imp

Divide each pair of fractions and simplify the result.

1
 3 4726
÷
 358
Solution
Convert into improper fractions.
 12526
÷
 358
Flip the second fraction and reverse the operator to multiplication
 12526
×
 835
Eliminate common factors.
 25 × 513 × 2
×
 4 × 27 × 5
 2513
×
 47
Multiply numerators and denominators.
 10091
Now simplify.
 1 991
2
 1 2342
÷
 2 2946
Solution
Convert into improper fractions.
 6542
÷
 12146
Flip the second fraction and reverse the operator to multiplication
 6542
×
 46121
Eliminate common factors.
 6521 × 2
×
 23 × 2121
 6521
×
 23121
Multiply numerators and denominators.
 14952541