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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
÷
2
2
2.  
1
2
÷
2
2

Complexity=4, Mode=simple

Divide each pair of fractions and simplify the result.

1.  
3
4
÷
3
4
2.  
2
4
÷
1
2

Complexity=6, Mode=simple

Divide each pair of fractions and simplify the result.

1.  
3
5
÷
1
5
2.  
3
5
÷
1
3

Complexity=3, Mode=improper

Divide each pair of fractions and simplify the result.

1.  
3
2
÷
1
2
2.  
2
2
÷
1
3

Complexity=5, Mode=improper

Divide each pair of fractions and simplify the result.

1.  
4
4
÷
1
3
2.  
2
3
÷
1
4

Complexity=7, Mode=improper

Divide each pair of fractions and simplify the result.

1.  
2
3
÷
6
4
2.  
5
7
÷
2
6

Complexity=3, Mode=mixed

Divide each pair of fractions and simplify the result.

1.  
1 2
3
÷
1 1
3
2.  
1 1
2
÷
3 1
3

Complexity=6, Mode=mixed

Divide each pair of fractions and simplify the result.

1.  
2
5
÷
2 4
6
2.  
1 2
5
÷
2 3
4

Complexity=10, Mode=mixed

Divide each pair of fractions and simplify the result.

1.  
1 6
9
÷
7
8
2.  
2 4
8
÷
2 6
8

Complexity=12, Mode=mixed-imp

Divide each pair of fractions and simplify the result.

1.  
3 1
9
÷
2 12
8
2.  
3 4
10
÷
3 5
9

Complexity=20, Mode=mixed-imp

Divide each pair of fractions and simplify the result.

1.  
3 3
20
÷
5
20
2.  
3 11
14
÷
2 17
14

Complexity=50, Mode=mixed-imp

Divide each pair of fractions and simplify the result.

1.  
3 47
26
÷
35
8
2.  
1 23
42
÷
2 29
46

Answers

Complexity=3, Mode=simple

Divide each pair of fractions and simplify the result.

#ProblemCorrect AnswerYour Answer
1
2
2
÷
2
2
Solution
Flip the second fraction and reverse the operator to multiplication
2
2
×
2
2
Simplify fractions to reduce denominators.
1 × 1

Multiply
1
#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=4, Mode=simple

Divide each pair of fractions and simplify the result.

#ProblemCorrect AnswerYour Answer
1
3
4
÷
3
4
Solution
Flip the second fraction and reverse the operator to multiplication
3
4
×
4
3
Eliminate common factors.
1 × 3
1 × 4
×
1 × 4
1 × 3
1
1
×
1
1
Multiply numerators and denominators.
1
1
Now simplify.
1
#ProblemCorrect AnswerYour Answer
2
2
4
÷
1
2
Solution
Flip the second fraction and reverse the operator to multiplication
2
4
×
2
1
Simplify fractions to reduce denominators.
1
2
×
2
1
Eliminate common factors.
1
1 × 2
×
1 × 2
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
3
5
÷
1
5
Solution
Flip the second fraction and reverse the operator to multiplication
3
5
×
5
1
Eliminate common factors.
3
1 × 5
×
1 × 5
1
3
1
×
1
1
Multiply numerators and denominators.
3
1
Now simplify.
3
#ProblemCorrect AnswerYour Answer
2
3
5
÷
1
3
Solution
Flip the second fraction and reverse the operator to multiplication
3
5
×
3
1
Multiply numerators and denominators.
9
5
Now simplify.
1 4
5

Complexity=3, Mode=improper

Divide each pair of fractions and simplify the result.

#ProblemCorrect AnswerYour Answer
1
3
2
÷
1
2
Solution
Flip the second fraction and reverse the operator to multiplication
3
2
×
2
1
Eliminate common factors.
3
1 × 2
×
1 × 2
1
3
1
×
1
1
Multiply numerators and denominators.
3
1
Now simplify.
3
#ProblemCorrect AnswerYour Answer
2
2
2
÷
1
3
Solution
Flip the second fraction and reverse the operator to multiplication
2
2
×
3
1
Simplify fractions to reduce denominators.
1 ×
3
1
Now simplify.
3

Complexity=5, Mode=improper

Divide each pair of fractions and simplify the result.

#ProblemCorrect AnswerYour Answer
1
4
4
÷
1
3
Solution
Flip the second fraction and reverse the operator to multiplication
4
4
×
3
1
Simplify fractions to reduce denominators.
1 ×
3
1
Now simplify.
3
#ProblemCorrect AnswerYour Answer
2
2
3
÷
1
4
Solution
Flip the second fraction and reverse the operator to multiplication
2
3
×
4
1
Multiply numerators and denominators.
8
3
Now simplify.
2 2
3

Complexity=7, Mode=improper

Divide each pair of fractions and simplify the result.

#ProblemCorrect AnswerYour Answer
1
2
3
÷
6
4
Solution
Flip the second fraction and reverse the operator to multiplication
2
3
×
4
6
Simplify fractions to reduce denominators.
2
3
×
2
3
Multiply numerators and denominators.
4
9
#ProblemCorrect AnswerYour Answer
2
5
7
÷
2
6
Solution
Flip the second fraction and reverse the operator to multiplication
5
7
×
6
2
Simplify fractions to reduce denominators.
5
7
× 3
Convert to improper fractions.
5
7
×
3
1
Multiply numerators and denominators.
15
7
Now simplify.
2 1
7

Complexity=3, Mode=mixed

Divide each pair of fractions and simplify the result.

#ProblemCorrect AnswerYour Answer
1
1 2
3
÷
1 1
3
Solution
Convert into improper fractions.
5
3
÷
4
3
Flip the second fraction and reverse the operator to multiplication
5
3
×
3
4
Eliminate common factors.
5
1 × 3
×
1 × 3
4
5
1
×
1
4
Multiply numerators and denominators.
5
4
Now simplify.
1 1
4
#ProblemCorrect AnswerYour Answer
2
1 1
2
÷
3 1
3
Solution
Convert into improper fractions.
3
2
÷
10
3
Flip the second fraction and reverse the operator to multiplication
3
2
×
3
10
Multiply numerators and denominators.
9
20

Complexity=6, Mode=mixed

Divide each pair of fractions and simplify the result.

#ProblemCorrect AnswerYour Answer
1
2
5
÷
2 4
6
Solution
Convert into improper fractions.
2
5
÷
16
6
Flip the second fraction and reverse the operator to multiplication
2
5
×
6
16
Simplify fractions to reduce denominators.
2
5
×
3
8
Eliminate common factors.
1 × 2
5
×
3
4 × 2
1
5
×
3
4
Multiply numerators and denominators.
3
20
#ProblemCorrect AnswerYour Answer
2
1 2
5
÷
2 3
4
Solution
Convert into improper fractions.
7
5
÷
11
4
Flip the second fraction and reverse the operator to multiplication
7
5
×
4
11
Multiply numerators and denominators.
28
55

Complexity=10, Mode=mixed

Divide each pair of fractions and simplify the result.

#ProblemCorrect AnswerYour Answer
1
1 6
9
÷
7
8
Solution
Convert into improper fractions.
15
9
÷
7
8
Flip the second fraction and reverse the operator to multiplication
15
9
×
8
7
Simplify fractions to reduce denominators.
1 2
3
×
8
7
Convert to improper fractions.
5
3
×
8
7
Multiply numerators and denominators.
40
21
Now simplify.
1 19
21
#ProblemCorrect AnswerYour Answer
2
2 4
8
÷
2 6
8
Solution
Convert into improper fractions.
20
8
÷
22
8
Flip the second fraction and reverse the operator to multiplication
20
8
×
8
22
Simplify fractions to reduce denominators.
2 1
2
×
4
11
Convert to improper fractions.
5
2
×
4
11
Eliminate common factors.
5
1 × 2
×
2 × 2
11
5
1
×
2
11
Multiply numerators and denominators.
10
11

Complexity=12, Mode=mixed-imp

Divide each pair of fractions and simplify the result.

#ProblemCorrect AnswerYour Answer
1
3 1
9
÷
2 12
8
Solution
Convert into improper fractions.
28
9
÷
28
8
Flip the second fraction and reverse the operator to multiplication
28
9
×
8
28
Simplify fractions to reduce denominators.
28
9
×
2
7
Eliminate common factors.
4 × 7
9
×
2
1 × 7
4
9
×
2
1
Multiply numerators and denominators.
8
9
#ProblemCorrect AnswerYour Answer
2
3 4
10
÷
3 5
9
Solution
Convert into improper fractions.
34
10
÷
32
9
Flip the second fraction and reverse the operator to multiplication
34
10
×
9
32
Simplify fractions to reduce denominators.
3 2
5
×
9
32
Convert to improper fractions.
17
5
×
9
32
Multiply numerators and denominators.
153
160

Complexity=20, Mode=mixed-imp

Divide each pair of fractions and simplify the result.

#ProblemCorrect AnswerYour Answer
1
3 3
20
÷
5
20
Solution
Convert into improper fractions.
63
20
÷
5
20
Flip the second fraction and reverse the operator to multiplication
63
20
×
20
5
Simplify fractions to reduce denominators.
63
20
× 4
Convert to improper fractions.
63
20
×
4
1
Eliminate common factors.
63
5 × 4
×
1 × 4
1
63
5
×
1
1
Multiply numerators and denominators.
63
5
Now simplify.
12 3
5
#ProblemCorrect AnswerYour Answer
2
3 11
14
÷
2 17
14
Solution
Convert into improper fractions.
53
14
÷
45
14
Flip the second fraction and reverse the operator to multiplication
53
14
×
14
45
Eliminate common factors.
53
1 × 14
×
1 × 14
45
53
1
×
1
45
Multiply numerators and denominators.
53
45
Now simplify.
1 8
45

Complexity=50, Mode=mixed-imp

Divide each pair of fractions and simplify the result.

#ProblemCorrect AnswerYour Answer
1
3 47
26
÷
35
8
Solution
Convert into improper fractions.
125
26
÷
35
8
Flip the second fraction and reverse the operator to multiplication
125
26
×
8
35
Eliminate common factors.
25 × 5
13 × 2
×
4 × 2
7 × 5
25
13
×
4
7
Multiply numerators and denominators.
100
91
Now simplify.
1 9
91
#ProblemCorrect AnswerYour Answer
2
1 23
42
÷
2 29
46
Solution
Convert into improper fractions.
65
42
÷
121
46
Flip the second fraction and reverse the operator to multiplication
65
42
×
46
121
Eliminate common factors.
65
21 × 2
×
23 × 2
121
65
21
×
23
121
Multiply numerators and denominators.
1495
2541
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