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Basic 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=1, Mode=v

Multiply. Give the answer in both unsimplified (improper) and simplified (mixed number) forms. If there is no whole number, leave it blank.

1.  
1
5
× 2 =
Answer before simplifying
 Simplified answer
2.  
1
10
× 3 =
Answer before simplifying
 Simplified answer

Complexity=2, Mode=v

Multiply. Give the answer in both unsimplified (improper) and simplified (mixed number) forms. If there is no whole number, leave it blank.

1.  
2
3
× 4 =
Answer before simplifying
 Simplified answer
2.  
1
6
× 9 =
Answer before simplifying
 Simplified answer

Complexity=10, Mode=v

Multiply. Give the answer in both unsimplified (improper) and simplified (mixed number) forms. If there is no whole number, leave it blank.

1.  
1
2
× 3 =
Answer before simplifying
 Simplified answer
2.  
3
5
× 6 =
Answer before simplifying
 Simplified answer

Complexity=10

Multiply. Give the answer in both unsimplified (improper) and simplified (mixed number) forms. If there is no whole number, leave it blank.

1.  
7
8
× 9 =
Answer before simplifying
 Simplified answer
2.  
2
3
× 2 =
Answer before simplifying
 Simplified answer

Answers

Complexity=1, Mode=v

Multiply. Give the answer in both unsimplified (improper) and simplified (mixed number) forms. If there is no whole number, leave it blank.

#ProblemCorrect AnswerYour Answer
1
1
5
× 2 =
Answer before simplifying
 Simplified answer
Solution
Unsimplified form
1
5
× 2 =  
1
5
× 2
1		   =   1 × 2
5 × 1		   =  
2
5
Simplified form
2
5
is already simplified.
#ProblemCorrect AnswerYour Answer
2
1
10
× 3 =
Answer before simplifying
 Simplified answer
Solution
Unsimplified form
1
10
× 3 =  
1
10
× 3
1		   =   1 × 3
10 × 1		   =  
3
10
Simplified form
3
10
is already simplified.

Complexity=2, Mode=v

Multiply. Give the answer in both unsimplified (improper) and simplified (mixed number) forms. If there is no whole number, leave it blank.

#ProblemCorrect AnswerYour Answer
1
2
3
× 4 =
Answer before simplifying
 Simplified answer
Solution
Unsimplified form
2
3
× 4 =  
2
3
× 4
1		   =   2 × 4
3 × 1		   =  
8
3
Simplified form
8
3
can be simplified because 8 > 3.
8 ÷ 3 = 2 R 2
8
3
=
2 2
3
#ProblemCorrect AnswerYour Answer
2
1
6
× 9 =
Answer before simplifying
 Simplified answer
Solution
Unsimplified form
1
6
× 9 =  
1
6
× 9
1		   =   1 × 9
6 × 1		   =  
9
6
Simplified form
9
6
can be simplified because 9 > 6.
9 ÷ 6 = 1 R 3
9
6
=
1 3
6
3 and 6 are both divisible by 3.
3
6
 =
3 ÷ 3
6 ÷ 3
 = 1
2
1 3
6
=
1 1
2

Complexity=10, Mode=v

Multiply. Give the answer in both unsimplified (improper) and simplified (mixed number) forms. If there is no whole number, leave it blank.

#ProblemCorrect AnswerYour Answer
1
1
2
× 3 =
Answer before simplifying
 Simplified answer
Solution
Unsimplified form
1
2
× 3 =  
1
2
× 3
1		   =   1 × 3
2 × 1		   =  
3
2
Simplified form
3
2
can be simplified because 3 > 2.
3 ÷ 2 = 1 R 1
3
2
=
1 1
2
#ProblemCorrect AnswerYour Answer
2
3
5
× 6 =
Answer before simplifying
 Simplified answer
Solution
Unsimplified form
3
5
× 6 =  
3
5
× 6
1		   =   3 × 6
5 × 1		   =  
18
5
Simplified form
18
5
can be simplified because 18 > 5.
18 ÷ 5 = 3 R 3
18
5
=
3 3
5

Complexity=10

Multiply. Give the answer in both unsimplified (improper) and simplified (mixed number) forms. If there is no whole number, leave it blank.

#ProblemCorrect AnswerYour Answer
1
7
8
× 9 =
Answer before simplifying
 Simplified answer
Solution
Unsimplified form
7
8
× 9 =  
7
8
× 9
1		   =   7 × 9
8 × 1		   =  
63
8
Simplified form
63
8
can be simplified because 63 > 8.
63 ÷ 8 = 7 R 7
63
8
=
7 7
8
#ProblemCorrect AnswerYour Answer
2
2
3
× 2 =
Answer before simplifying
 Simplified answer
Solution
Unsimplified form
2
3
× 2 =  
2
3
× 2
1		   =   2 × 2
3 × 1		   =  
4
3
Simplified form
4
3
can be simplified because 4 > 3.
4 ÷ 3 = 1 R 1
4
3
=
1 1
3
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