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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.

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Complexity=3, Mode=simple

Divide each pair of fractions and simplify the result.
1.  
2
2
÷
1
2
2.  
2
3
÷
1
2

Complexity=4, Mode=simple

Divide each pair of fractions and simplify the result.
1.  
1
4
÷
2
4
2.  
1
3
÷
1
3

Complexity=6, Mode=simple

Divide each pair of fractions and simplify the result.
1.  
1
2
÷
1
3
2.  
1
5
÷
4
5

Complexity=3, Mode=improper

Divide each pair of fractions and simplify the result.
1.  
2
3
÷
3
3
2.  
2
3
÷
2
2

Complexity=5, Mode=improper

Divide each pair of fractions and simplify the result.
1.  
5
4
÷
4
4
2.  
2
4
÷
1
3

Complexity=7, Mode=improper

Divide each pair of fractions and simplify the result.
1.  
4
2
÷
7
2
2.  
6
3
÷
4
2

Complexity=3, Mode=mixed

Divide each pair of fractions and simplify the result.
1.  
3 1
2
÷
1 1
3
2.  
2 2
3
÷
2 1
3

Complexity=6, Mode=mixed

Divide each pair of fractions and simplify the result.
1.  
2 2
3
÷
1 2
3
2.  
3 3
5
÷
3 1
4

Complexity=10, Mode=mixed

Divide each pair of fractions and simplify the result.
1.  
4
10
÷
3 3
4
2.  
2 3
6
÷
1 3
8

Complexity=12, Mode=mixed-imp

Divide each pair of fractions and simplify the result.
1.  
3 1
6
÷
4
6
2.  
2 5
9
÷
1 5
8

Complexity=20, Mode=mixed-imp

Divide each pair of fractions and simplify the result.
1.  
1 13
20
÷
4
20
2.  
1 17
6
÷
1 16
18

Complexity=50, Mode=mixed-imp

Divide each pair of fractions and simplify the result.
1.  
3 47
20
÷
13
45
2.  
2 32
10
÷
3 17
32

Answers

Complexity=3, Mode=simple

Divide each pair of fractions and simplify the result.
#ProblemCorrect AnswerYour Answer
1
2
2
÷
1
2
Solution
Flip the second fraction and reverse the operator to multiplication
2
2
×
2
1
Simplify fractions to reduce denominators.
1 ×
2
1
Now simplify.
2
#ProblemCorrect AnswerYour Answer
2
2
3
÷
1
2
Solution
Flip the second fraction and reverse the operator to multiplication
2
3
×
2
1
Multiply numerators and denominators.
4
3
Now simplify.
1 1
3

Complexity=4, Mode=simple

Divide each pair of fractions and simplify the result.
#ProblemCorrect AnswerYour Answer
1
1
4
÷
2
4
Solution
Flip the second fraction and reverse the operator to multiplication
1
4
×
4
2
Simplify fractions to reduce denominators.
1
4
× 2
Convert to improper fractions.
1
4
×
2
1
Eliminate common factors.
1
2 × 2
×
1 × 2
1
1
2
×
1
1
Multiply numerators and denominators.
1
2
#ProblemCorrect AnswerYour Answer
2
1
3
÷
1
3
Solution
Flip the second fraction and reverse the operator to multiplication
1
3
×
3
1
Eliminate common factors.
1
1 × 3
×
1 × 3
1
1
1
×
1
1
Multiply numerators and denominators.
1
1
Now simplify.
1

Complexity=6, Mode=simple

Divide each pair of fractions and simplify the result.
#ProblemCorrect AnswerYour Answer
1
1
2
÷
1
3
Solution
Flip the second fraction and reverse the operator to multiplication
1
2
×
3
1
Multiply numerators and denominators.
3
2
Now simplify.
1 1
2
#ProblemCorrect AnswerYour Answer
2
1
5
÷
4
5
Solution
Flip the second fraction and reverse the operator to multiplication
1
5
×
5
4
Eliminate common factors.
1
1 × 5
×
1 × 5
4
1
1
×
1
4
Multiply numerators and denominators.
1
4

Complexity=3, Mode=improper

Divide each pair of fractions and simplify the result.
#ProblemCorrect AnswerYour Answer
1
2
3
÷
3
3
Solution
Flip the second fraction and reverse the operator to multiplication
2
3
×
3
3
Simplify fractions to reduce denominators.
2
3
× 1
2
3
#ProblemCorrect AnswerYour Answer
2
2
3
÷
2
2
Solution
Flip the second fraction and reverse the operator to multiplication
2
3
×
2
2
Simplify fractions to reduce denominators.
2
3
× 1
2
3

Complexity=5, Mode=improper

Divide each pair of fractions and simplify the result.
#ProblemCorrect AnswerYour Answer
1
5
4
÷
4
4
Solution
Flip the second fraction and reverse the operator to multiplication
5
4
×
4
4
Simplify fractions to reduce denominators.
5
4
× 1
Now simplify.
1 1
4
#ProblemCorrect AnswerYour Answer
2
2
4
÷
1
3
Solution
Flip the second fraction and reverse the operator to multiplication
2
4
×
3
1
Simplify fractions to reduce denominators.
1
2
×
3
1
Multiply numerators and denominators.
3
2
Now simplify.
1 1
2

Complexity=7, Mode=improper

Divide each pair of fractions and simplify the result.
#ProblemCorrect AnswerYour Answer
1
4
2
÷
7
2
Solution
Flip the second fraction and reverse the operator to multiplication
4
2
×
2
7
Simplify fractions to reduce denominators.
2 ×
2
7
Convert to improper fractions.
2
1
×
2
7
Multiply numerators and denominators.
4
7
#ProblemCorrect AnswerYour Answer
2
6
3
÷
4
2
Solution
Flip the second fraction and reverse the operator to multiplication
6
3
×
2
4
Simplify fractions to reduce denominators.
2 ×
1
2
Convert to improper fractions.
2
1
×
1
2
Eliminate common factors.
1 × 2
1
×
1
1 × 2
1
1
×
1
1
Multiply numerators and denominators.
1
1
Now simplify.
1

Complexity=3, Mode=mixed

Divide each pair of fractions and simplify the result.
#ProblemCorrect AnswerYour Answer
1
3 1
2
÷
1 1
3
Solution
Convert into improper fractions.
7
2
÷
4
3
Flip the second fraction and reverse the operator to multiplication
7
2
×
3
4
Multiply numerators and denominators.
21
8
Now simplify.
2 5
8
#ProblemCorrect AnswerYour Answer
2
2 2
3
÷
2 1
3
Solution
Convert into improper fractions.
8
3
÷
7
3
Flip the second fraction and reverse the operator to multiplication
8
3
×
3
7
Eliminate common factors.
8
1 × 3
×
1 × 3
7
8
1
×
1
7
Multiply numerators and denominators.
8
7
Now simplify.
1 1
7

Complexity=6, Mode=mixed

Divide each pair of fractions and simplify the result.
#ProblemCorrect AnswerYour Answer
1
2 2
3
÷
1 2
3
Solution
Convert into improper fractions.
8
3
÷
5
3
Flip the second fraction and reverse the operator to multiplication
8
3
×
3
5
Eliminate common factors.
8
1 × 3
×
1 × 3
5
8
1
×
1
5
Multiply numerators and denominators.
8
5
Now simplify.
1 3
5
#ProblemCorrect AnswerYour Answer
2
3 3
5
÷
3 1
4
Solution
Convert into improper fractions.
18
5
÷
13
4
Flip the second fraction and reverse the operator to multiplication
18
5
×
4
13
Multiply numerators and denominators.
72
65
Now simplify.
1 7
65

Complexity=10, Mode=mixed

Divide each pair of fractions and simplify the result.
#ProblemCorrect AnswerYour Answer
1
4
10
÷
3 3
4
Solution
Convert into improper fractions.
4
10
÷
15
4
Flip the second fraction and reverse the operator to multiplication
4
10
×
4
15
Simplify fractions to reduce denominators.
2
5
×
4
15
Multiply numerators and denominators.
8
75
#ProblemCorrect AnswerYour Answer
2
2 3
6
÷
1 3
8
Solution
Convert into improper fractions.
15
6
÷
11
8
Flip the second fraction and reverse the operator to multiplication
15
6
×
8
11
Simplify fractions to reduce denominators.
2 1
2
×
8
11
Convert to improper fractions.
5
2
×
8
11
Eliminate common factors.
5
1 × 2
×
4 × 2
11
5
1
×
4
11
Multiply numerators and denominators.
20
11
Now simplify.
1 9
11

Complexity=12, Mode=mixed-imp

Divide each pair of fractions and simplify the result.
#ProblemCorrect AnswerYour Answer
1
3 1
6
÷
4
6
Solution
Convert into improper fractions.
19
6
÷
4
6
Flip the second fraction and reverse the operator to multiplication
19
6
×
6
4
Simplify fractions to reduce denominators.
19
6
×
1 1
2
Convert to improper fractions.
19
6
×
3
2
Eliminate common factors.
19
2 × 3
×
1 × 3
2
19
2
×
1
2
Multiply numerators and denominators.
19
4
Now simplify.
4 3
4
#ProblemCorrect AnswerYour Answer
2
2 5
9
÷
1 5
8
Solution
Convert into improper fractions.
23
9
÷
13
8
Flip the second fraction and reverse the operator to multiplication
23
9
×
8
13
Multiply numerators and denominators.
184
117
Now simplify.
1 67
117

Complexity=20, Mode=mixed-imp

Divide each pair of fractions and simplify the result.
#ProblemCorrect AnswerYour Answer
1
1 13
20
÷
4
20
Solution
Convert into improper fractions.
33
20
÷
4
20
Flip the second fraction and reverse the operator to multiplication
33
20
×
20
4
Simplify fractions to reduce denominators.
33
20
× 5
Convert to improper fractions.
33
20
×
5
1
Eliminate common factors.
33
4 × 5
×
1 × 5
1
33
4
×
1
1
Multiply numerators and denominators.
33
4
Now simplify.
8 1
4
#ProblemCorrect AnswerYour Answer
2
1 17
6
÷
1 16
18
Solution
Convert into improper fractions.
23
6
÷
34
18
Flip the second fraction and reverse the operator to multiplication
23
6
×
18
34
Simplify fractions to reduce denominators.
23
6
×
9
17
Eliminate common factors.
23
2 × 3
×
3 × 3
17
23
2
×
3
17
Multiply numerators and denominators.
69
34
Now simplify.
2 1
34

Complexity=50, Mode=mixed-imp

Divide each pair of fractions and simplify the result.
#ProblemCorrect AnswerYour Answer
1
3 47
20
÷
13
45
Solution
Convert into improper fractions.
107
20
÷
13
45
Flip the second fraction and reverse the operator to multiplication
107
20
×
45
13
Eliminate common factors.
107
4 × 5
×
9 × 5
13
107
4
×
9
13
Multiply numerators and denominators.
963
52
Now simplify.
18 27
52
#ProblemCorrect AnswerYour Answer
2
2 32
10
÷
3 17
32
Solution
Convert into improper fractions.
52
10
÷
113
32
Flip the second fraction and reverse the operator to multiplication
52
10
×
32
113
Simplify fractions to reduce denominators.
5 1
5
×
32
113
Convert to improper fractions.
26
5
×
32
113
Multiply numerators and denominators.
832
565
Now simplify.
1 267
565
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