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

Sample Problems For Fraction Multiplication

Complexity=3, Mode=simple

Multiply each pair of fractions and simplify the result.
1.  
1
2
×
2
3
2.  
1
2
×
3
3

Complexity=4, Mode=simple

Multiply each pair of fractions and simplify the result.
1.  
1
2
×
1
3
2.  
1
2
×
1
4

Complexity=6, Mode=simple

Multiply each pair of fractions and simplify the result.
1.  
3
4
×
1
5
2.  
3
4
×
3
4

Complexity=3, Mode=improper

Multiply each pair of fractions and simplify the result.
1.  
2
3
×
2
3
2.  
3
2
×
3
3

Complexity=5, Mode=improper

Multiply each pair of fractions and simplify the result.
1.  
1
3
×
5
2
2.  
3
5
×
2
5

Complexity=7, Mode=improper

Multiply each pair of fractions and simplify the result.
1.  
2
3
×
3
4
2.  
4
7
×
4
7

Complexity=3, Mode=mixed

Multiply each pair of fractions and simplify the result.
1.  
3 2
3
×
1 2
3
2.  
3 1
2
×
1 2
3

Complexity=6, Mode=mixed

Multiply each pair of fractions and simplify the result.
1.  
4
6
×
1 2
5
2.  
3 2
5
×
1
6

Complexity=10, Mode=mixed

Multiply 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

Multiply 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

Multiply 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

Multiply 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

Multiply each pair of fractions and simplify the result.
#ProblemCorrect AnswerYour Answer
1
1
2
×
2
3
Solution
Eliminate common factors.
1
1 × 2
×
1 × 2
3
1
1
×
1
3
Multiply numerators and denominators.
1
3
#ProblemCorrect AnswerYour Answer
2
1
2
×
3
3
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
2
×
1
3
Solution
Multiply numerators and denominators.
1
6
#ProblemCorrect AnswerYour Answer
2
1
2
×
1
4
Solution
Multiply numerators and denominators.
1
8

Complexity=6, Mode=simple

Multiply each pair of fractions and simplify the result.
#ProblemCorrect AnswerYour Answer
1
3
4
×
1
5
Solution
Multiply numerators and denominators.
3
20
#ProblemCorrect AnswerYour Answer
2
3
4
×
3
4
Solution
Multiply numerators and denominators.
9
16

Complexity=3, Mode=improper

Multiply each pair of fractions and simplify the result.
#ProblemCorrect AnswerYour Answer
1
2
3
×
2
3
Solution
Multiply numerators and denominators.
4
9
#ProblemCorrect AnswerYour Answer
2
3
2
×
3
3
Solution
Simplify fractions to reduce denominators.
3
2
× 1
Now simplify.
1 1
2

Complexity=5, Mode=improper

Multiply each pair of fractions and simplify the result.
#ProblemCorrect AnswerYour Answer
1
1
3
×
5
2
Solution
Multiply numerators and denominators.
5
6
#ProblemCorrect AnswerYour Answer
2
3
5
×
2
5
Solution
Multiply numerators and denominators.
6
25

Complexity=7, Mode=improper

Multiply each pair of fractions and simplify the result.
#ProblemCorrect AnswerYour Answer
1
2
3
×
3
4
Solution
Eliminate common factors.
1 × 2
1 × 3
×
1 × 3
2 × 2
1
1
×
1
2
Multiply numerators and denominators.
1
2
#ProblemCorrect AnswerYour Answer
2
4
7
×
4
7
Solution
Multiply numerators and denominators.
16
49

Complexity=3, Mode=mixed

Multiply each pair of fractions and simplify the result.
#ProblemCorrect AnswerYour Answer
1
3 2
3
×
1 2
3
Solution
Convert to improper fractions.
11
3
×
5
3
Multiply numerators and denominators.
55
9
Now simplify.
6 1
9
#ProblemCorrect AnswerYour Answer
2
3 1
2
×
1 2
3
Solution
Convert to improper fractions.
7
2
×
5
3
Multiply numerators and denominators.
35
6
Now simplify.
5 5
6

Complexity=6, Mode=mixed

Multiply each pair of fractions and simplify the result.
#ProblemCorrect AnswerYour Answer
1
4
6
×
1 2
5
Solution
Simplify fractions to reduce denominators.
2
3
×
1 2
5
Convert to improper fractions.
2
3
×
7
5
Multiply numerators and denominators.
14
15
#ProblemCorrect AnswerYour Answer
2
3 2
5
×
1
6
Solution
Convert to improper fractions.
17
5
×
1
6
Multiply numerators and denominators.
17
30

Complexity=10, Mode=mixed

Multiply each pair of fractions and simplify the result.
#ProblemCorrect AnswerYour Answer
1
2 4
7
×
2 2
4
Solution
Simplify fractions to reduce denominators.
2 4
7
×
2 1
2
Convert to improper fractions.
18
7
×
5
2
Eliminate common factors.
9 × 2
7
×
5
1 × 2
9
7
×
5
1
Multiply numerators and denominators.
45
7
Now simplify.
6 3
7
#ProblemCorrect AnswerYour Answer
2
1 5
9
×
3 3
6
Solution
Simplify fractions to reduce denominators.
1 5
9
×
3 1
2
Convert to improper fractions.
14
9
×
7
2
Eliminate common factors.
7 × 2
9
×
7
1 × 2
7
9
×
7
1
Multiply numerators and denominators.
49
9
Now simplify.
5 4
9

Complexity=12, Mode=mixed-imp

Multiply each pair of fractions and simplify the result.
#ProblemCorrect AnswerYour Answer
1
3 2
8
×
11
9
Solution
Simplify fractions to reduce denominators.
3 1
4
×
11
9
Convert to improper fractions.
13
4
×
11
9
Multiply numerators and denominators.
143
36
Now simplify.
3 35
36
#ProblemCorrect AnswerYour Answer
2
1 7
8
×
3 4
10
Solution
Simplify fractions to reduce denominators.
1 7
8
×
3 2
5
Convert to improper fractions.
15
8
×
17
5
Eliminate common factors.
3 × 5
8
×
17
1 × 5
3
8
×
17
1
Multiply numerators and denominators.
51
8
Now simplify.
6 3
8

Complexity=20, Mode=mixed-imp

Multiply each pair of fractions and simplify the result.
#ProblemCorrect AnswerYour Answer
1
19
16
×
3 3
20
Solution
Convert to improper fractions.
19
16
×
63
20
Multiply numerators and denominators.
1197
320
Now simplify.
3 237
320
#ProblemCorrect AnswerYour Answer
2
20
8
×
2 9
4
Solution
Simplify fractions to reduce denominators.
2 1
2
×
2 9
4
Convert to improper fractions.
5
2
×
17
4
Multiply numerators and denominators.
85
8
Now simplify.
10 5
8

Complexity=50, Mode=mixed-imp

Multiply each pair of fractions and simplify the result.
#ProblemCorrect AnswerYour Answer
1
2 35
36
×
2 13
32
Solution
Convert to improper fractions.
107
36
×
77
32
Multiply numerators and denominators.
8239
1152
Now simplify.
7 175
1152
#ProblemCorrect AnswerYour Answer
2
2 46
27
×
27
33
Solution
Simplify fractions to reduce denominators.
2 46
27
×
9
11
Convert to improper fractions.
100
27
×
9
11
Eliminate common factors.
100
3 × 9
×
1 × 9
11
100
3
×
1
11
Multiply numerators and denominators.
100
33
Now simplify.
3 1
33

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