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Fraction Multiplication - 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

Multiply each pair of fractions and simplify the result.

1.  
2
2
×
1
3
2.  
1
2
×
2
2

Complexity=4, Mode=simple

Multiply each pair of fractions and simplify the result.

1.  
1
4
×
1
2
2.  
1
3
×
2
2

Complexity=6, Mode=simple

Multiply each pair of fractions and simplify the result.

1.  
4
5
×
1
5
2.  
3
3
×
3
4

Complexity=3, Mode=improper

Multiply each pair of fractions and simplify the result.

1.  
3
3
×
1
3
2.  
3
2
×
1
2

Complexity=5, Mode=improper

Multiply each pair of fractions and simplify the result.

1.  
5
3
×
2
3
2.  
2
2
×
5
4

Complexity=7, Mode=improper

Multiply each pair of fractions and simplify the result.

1.  
3
2
×
7
6
2.  
4
3
×
7
3

Complexity=3, Mode=mixed

Multiply each pair of fractions and simplify the result.

1.  
1 2
3
×
1
3
2.  
2 2
3
×
3 2
3

Complexity=6, Mode=mixed

Multiply each pair of fractions and simplify the result.

1.  
2 4
5
×
1 2
3
2.  
2 2
3
×
3 3
5

Complexity=10, Mode=mixed

Multiply each pair of fractions and simplify the result.

1.  
2 2
4
×
4
6
2.  
2 1
8
×
2 3
9

Complexity=12, Mode=mixed-imp

Multiply each pair of fractions and simplify the result.

1.  
4
12
×
3 10
12
2.  
2 10
12
×
2 8
9

Complexity=20, Mode=mixed-imp

Multiply each pair of fractions and simplify the result.

1.  
3 14
20
×
3 4
12
2.  
2 16
6
×
3 13
9

Complexity=50, Mode=mixed-imp

Multiply each pair of fractions and simplify the result.

1.  
1 22
9
×
2 20
6
2.  
1 36
32
×
3 37
36

Answers

Complexity=3, Mode=simple

Multiply each pair of fractions and simplify the result.

#ProblemCorrect AnswerYour Answer
1
2
2
×
1
3
Solution
Simplify fractions to reduce denominators.
1 ×
1
3
1
3
#ProblemCorrect AnswerYour Answer
2
1
2
×
2
2
Solution
Simplify fractions to reduce denominators.
1
2
× 1
1
2

Complexity=4, Mode=simple

Multiply each pair of fractions and simplify the result.

#ProblemCorrect AnswerYour Answer
1
1
4
×
1
2
Solution
Multiply numerators and denominators.
1
8
#ProblemCorrect AnswerYour Answer
2
1
3
×
2
2
Solution
Simplify fractions to reduce denominators.
1
3
× 1
1
3

Complexity=6, Mode=simple

Multiply each pair of fractions and simplify the result.

#ProblemCorrect AnswerYour Answer
1
4
5
×
1
5
Solution
Multiply numerators and denominators.
4
25
#ProblemCorrect AnswerYour Answer
2
3
3
×
3
4
Solution
Simplify fractions to reduce denominators.
1 ×
3
4
3
4

Complexity=3, Mode=improper

Multiply each pair of fractions and simplify the result.

#ProblemCorrect AnswerYour Answer
1
3
3
×
1
3
Solution
Simplify fractions to reduce denominators.
1 ×
1
3
1
3
#ProblemCorrect AnswerYour Answer
2
3
2
×
1
2
Solution
Multiply numerators and denominators.
3
4

Complexity=5, Mode=improper

Multiply each pair of fractions and simplify the result.

#ProblemCorrect AnswerYour Answer
1
5
3
×
2
3
Solution
Multiply numerators and denominators.
10
9
Now simplify.
1 1
9
#ProblemCorrect AnswerYour Answer
2
2
2
×
5
4
Solution
Simplify fractions to reduce denominators.
1 ×
5
4
Now simplify.
1 1
4

Complexity=7, Mode=improper

Multiply each pair of fractions and simplify the result.

#ProblemCorrect AnswerYour Answer
1
3
2
×
7
6
Solution
Eliminate common factors.
1 × 3
2
×
7
2 × 3
1
2
×
7
2
Multiply numerators and denominators.
7
4
Now simplify.
1 3
4
#ProblemCorrect AnswerYour Answer
2
4
3
×
7
3
Solution
Multiply numerators and denominators.
28
9
Now simplify.
3 1
9

Complexity=3, Mode=mixed

Multiply each pair of fractions and simplify the result.

#ProblemCorrect AnswerYour Answer
1
1 2
3
×
1
3
Solution
Convert to improper fractions.
5
3
×
1
3
Multiply numerators and denominators.
5
9
#ProblemCorrect AnswerYour Answer
2
2 2
3
×
3 2
3
Solution
Convert to improper fractions.
8
3
×
11
3
Multiply numerators and denominators.
88
9
Now simplify.
9 7
9

Complexity=6, Mode=mixed

Multiply each pair of fractions and simplify the result.

#ProblemCorrect AnswerYour Answer
1
2 4
5
×
1 2
3
Solution
Convert to improper fractions.
14
5
×
5
3
Eliminate common factors.
14
1 × 5
×
1 × 5
3
14
1
×
1
3
Multiply numerators and denominators.
14
3
Now simplify.
4 2
3
#ProblemCorrect AnswerYour Answer
2
2 2
3
×
3 3
5
Solution
Convert to improper fractions.
8
3
×
18
5
Eliminate common factors.
8
1 × 3
×
6 × 3
5
8
1
×
6
5
Multiply numerators and denominators.
48
5
Now simplify.
9 3
5

Complexity=10, Mode=mixed

Multiply each pair of fractions and simplify the result.

#ProblemCorrect AnswerYour Answer
1
2 2
4
×
4
6
Solution
Simplify fractions to reduce denominators.
2 1
2
×
2
3
Convert to improper fractions.
5
2
×
2
3
Eliminate common factors.
5
1 × 2
×
1 × 2
3
5
1
×
1
3
Multiply numerators and denominators.
5
3
Now simplify.
1 2
3
#ProblemCorrect AnswerYour Answer
2
2 1
8
×
2 3
9
Solution
Simplify fractions to reduce denominators.
2 1
8
×
2 1
3
Convert to improper fractions.
17
8
×
7
3
Multiply numerators and denominators.
119
24
Now simplify.
4 23
24

Complexity=12, Mode=mixed-imp

Multiply each pair of fractions and simplify the result.

#ProblemCorrect AnswerYour Answer
1
4
12
×
3 10
12
Solution
Simplify fractions to reduce denominators.
1
3
×
3 5
6
Convert to improper fractions.
1
3
×
23
6
Multiply numerators and denominators.
23
18
Now simplify.
1 5
18
#ProblemCorrect AnswerYour Answer
2
2 10
12
×
2 8
9
Solution
Simplify fractions to reduce denominators.
2 5
6
×
2 8
9
Convert to improper fractions.
17
6
×
26
9
Eliminate common factors.
17
3 × 2
×
13 × 2
9
17
3
×
13
9
Multiply numerators and denominators.
221
27
Now simplify.
8 5
27

Complexity=20, Mode=mixed-imp

Multiply each pair of fractions and simplify the result.

#ProblemCorrect AnswerYour Answer
1
3 14
20
×
3 4
12
Solution
Simplify fractions to reduce denominators.
3 7
10
×
3 1
3
Convert to improper fractions.
37
10
×
10
3
Eliminate common factors.
37
1 × 10
×
1 × 10
3
37
1
×
1
3
Multiply numerators and denominators.
37
3
Now simplify.
12 1
3
#ProblemCorrect AnswerYour Answer
2
2 16
6
×
3 13
9
Solution
Simplify fractions to reduce denominators.
4 2
3
×
3 13
9
Convert to improper fractions.
14
3
×
40
9
Multiply numerators and denominators.
560
27
Now simplify.
20 20
27

Complexity=50, Mode=mixed-imp

Multiply each pair of fractions and simplify the result.

#ProblemCorrect AnswerYour Answer
1
1 22
9
×
2 20
6
Solution
Simplify fractions to reduce denominators.
1 22
9
×
5 1
3
Convert to improper fractions.
31
9
×
16
3
Multiply numerators and denominators.
496
27
Now simplify.
18 10
27
#ProblemCorrect AnswerYour Answer
2
1 36
32
×
3 37
36
Solution
Simplify fractions to reduce denominators.
2 1
8
×
3 37
36
Convert to improper fractions.
17
8
×
145
36
Multiply numerators and denominators.
2465
288
Now simplify.
8 161
288
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