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

Sample Problems For Fraction Division

Complexity=3, Mode=simple

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

Complexity=4, Mode=simple

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

Complexity=6, Mode=simple

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

Complexity=3, Mode=improper

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

Complexity=5, Mode=improper

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

Complexity=7, Mode=improper

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

Complexity=3, Mode=mixed

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

Complexity=6, Mode=mixed

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

Complexity=10, Mode=mixed

Divide each pair of fractions and simplify the result.
1.  
2 4
7
÷
2 2
4
2.  
1 5
9
÷
3 3
6

Complexity=12, Mode=mixed-imp

Divide each pair of fractions and simplify the result.
1.  
3 2
8
÷
11
9
2.  
1 7
8
÷
3 4
10

Complexity=20, Mode=mixed-imp

Divide each pair of fractions and simplify the result.
1.  
19
16
÷
3 3
20
2.  
20
8
÷
2 9
4

Complexity=50, Mode=mixed-imp

Divide each pair of fractions and simplify the result.
1.  
2 35
36
÷
2 13
32
2.  
2 46
27
÷
27
33

Answers

Complexity=3, Mode=simple

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

Complexity=4, Mode=simple

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

Complexity=6, Mode=simple

Divide each pair of fractions and simplify the result.
#ProblemCorrect AnswerYour Answer
1
2
2
÷
3
4
Solution
Flip the second fraction and reverse the operator to multiplication
2
2
×
4
3
Simplify fractions to reduce denominators.
1 ×
4
3
Now simplify.
1 1
3
#ProblemCorrect AnswerYour Answer
2
2
6
÷
3
4
Solution
Flip the second fraction and reverse the operator to multiplication
2
6
×
4
3
Simplify fractions to reduce denominators.
1
3
×
4
3
Multiply numerators and denominators.
4
9

Complexity=3, Mode=improper

Divide each pair of fractions and simplify the result.
#ProblemCorrect AnswerYour Answer
1
2
3
÷
2
3
Solution
Flip the second fraction and reverse the operator to multiplication
2
3
×
3
2
Eliminate common factors.
1 × 2
1 × 3
×
1 × 3
1 × 2
1
1
×
1
1
Multiply numerators and denominators.
1
1
Now simplify.
1
#ProblemCorrect AnswerYour Answer
2
2
3
÷
3
2
Solution
Flip the second fraction and reverse the operator to multiplication
2
3
×
2
3
Multiply numerators and denominators.
4
9

Complexity=5, Mode=improper

Divide each pair of fractions and simplify the result.
#ProblemCorrect AnswerYour Answer
1
5
5
÷
1
3
Solution
Flip the second fraction and reverse the operator to multiplication
5
5
×
3
1
Simplify fractions to reduce denominators.
1 ×
3
1
Now simplify.
3
#ProblemCorrect AnswerYour Answer
2
5
2
÷
3
5
Solution
Flip the second fraction and reverse the operator to multiplication
5
2
×
5
3
Multiply numerators and denominators.
25
6
Now simplify.
4 1
6

Complexity=7, Mode=improper

Divide each pair of fractions and simplify the result.
#ProblemCorrect AnswerYour Answer
1
3
7
÷
2
3
Solution
Flip the second fraction and reverse the operator to multiplication
3
7
×
3
2
Multiply numerators and denominators.
9
14
#ProblemCorrect AnswerYour Answer
2
3
4
÷
4
7
Solution
Flip the second fraction and reverse the operator to multiplication
3
4
×
7
4
Multiply numerators and denominators.
21
16
Now simplify.
1 5
16

Complexity=3, Mode=mixed

Divide each pair of fractions and simplify the result.
#ProblemCorrect AnswerYour Answer
1
1 2
3
÷
1 2
3
Solution
Convert into improper fractions.
5
3
÷
5
3
Flip the second fraction and reverse the operator to multiplication
5
3
×
3
5
Eliminate common factors.
1 × 5
1 × 3
×
1 × 3
1 × 5
1
1
×
1
1
Multiply numerators and denominators.
1
1
Now simplify.
1
#ProblemCorrect AnswerYour Answer
2
3 1
2
÷
1 2
3
Solution
Convert into improper fractions.
7
2
÷
5
3
Flip the second fraction and reverse the operator to multiplication
7
2
×
3
5
Multiply numerators and denominators.
21
10
Now simplify.
2 1
10

Complexity=6, Mode=mixed

Divide each pair of fractions and simplify the result.
#ProblemCorrect AnswerYour Answer
1
4
6
÷
1 2
5
Solution
Convert into improper fractions.
4
6
÷
7
5
Flip the second fraction and reverse the operator to multiplication
4
6
×
5
7
Simplify fractions to reduce denominators.
2
3
×
5
7
Multiply numerators and denominators.
10
21
#ProblemCorrect AnswerYour Answer
2
3 2
5
÷
1
6
Solution
Convert into improper fractions.
17
5
÷
1
6
Flip the second fraction and reverse the operator to multiplication
17
5
×
6
1
Multiply numerators and denominators.
102
5
Now simplify.
20 2
5

Complexity=10, Mode=mixed

Divide each pair of fractions and simplify the result.
#ProblemCorrect AnswerYour Answer
1
2 4
7
÷
2 2
4
Solution
Convert into improper fractions.
18
7
÷
10
4
Flip the second fraction and reverse the operator to multiplication
18
7
×
4
10
Simplify fractions to reduce denominators.
18
7
×
2
5
Multiply numerators and denominators.
36
35
Now simplify.
1 1
35
#ProblemCorrect AnswerYour Answer
2
1 5
9
÷
3 3
6
Solution
Convert into improper fractions.
14
9
÷
21
6
Flip the second fraction and reverse the operator to multiplication
14
9
×
6
21
Simplify fractions to reduce denominators.
14
9
×
2
7
Eliminate common factors.
2 × 7
9
×
2
1 × 7
2
9
×
2
1
Multiply numerators and denominators.
4
9

Complexity=12, Mode=mixed-imp

Divide each pair of fractions and simplify the result.
#ProblemCorrect AnswerYour Answer
1
3 2
8
÷
11
9
Solution
Convert into improper fractions.
26
8
÷
11
9
Flip the second fraction and reverse the operator to multiplication
26
8
×
9
11
Simplify fractions to reduce denominators.
3 1
4
×
9
11
Convert to improper fractions.
13
4
×
9
11
Multiply numerators and denominators.
117
44
Now simplify.
2 29
44
#ProblemCorrect AnswerYour Answer
2
1 7
8
÷
3 4
10
Solution
Convert into improper fractions.
15
8
÷
34
10
Flip the second fraction and reverse the operator to multiplication
15
8
×
10
34
Simplify fractions to reduce denominators.
15
8
×
5
17
Multiply numerators and denominators.
75
136

Complexity=20, Mode=mixed-imp

Divide each pair of fractions and simplify the result.
#ProblemCorrect AnswerYour Answer
1
19
16
÷
3 3
20
Solution
Convert into improper fractions.
19
16
÷
63
20
Flip the second fraction and reverse the operator to multiplication
19
16
×
20
63
Eliminate common factors.
19
4 × 4
×
5 × 4
63
19
4
×
5
63
Multiply numerators and denominators.
95
252
#ProblemCorrect AnswerYour Answer
2
20
8
÷
2 9
4
Solution
Convert into improper fractions.
20
8
÷
17
4
Flip the second fraction and reverse the operator to multiplication
20
8
×
4
17
Simplify fractions to reduce denominators.
2 1
2
×
4
17
Convert to improper fractions.
5
2
×
4
17
Eliminate common factors.
5
1 × 2
×
2 × 2
17
5
1
×
2
17
Multiply numerators and denominators.
10
17

Complexity=50, Mode=mixed-imp

Divide each pair of fractions and simplify the result.
#ProblemCorrect AnswerYour Answer
1
2 35
36
÷
2 13
32
Solution
Convert into improper fractions.
107
36
÷
77
32
Flip the second fraction and reverse the operator to multiplication
107
36
×
32
77
Eliminate common factors.
107
9 × 4
×
8 × 4
77
107
9
×
8
77
Multiply numerators and denominators.
856
693
Now simplify.
1 163
693
#ProblemCorrect AnswerYour Answer
2
2 46
27
÷
27
33
Solution
Convert into improper fractions.
100
27
÷
27
33
Flip the second fraction and reverse the operator to multiplication
100
27
×
33
27
Simplify fractions to reduce denominators.
100
27
×
1 2
9
Convert to improper fractions.
100
27
×
11
9
Multiply numerators and denominators.
1100
243
Now simplify.
4 128
243

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