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Basic 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=5, Mode=a

Divide. Answer in simplified form.

1.  
1
5
÷2 =
2.  
1
3
÷4 =

Complexity=10, Mode=a

Divide. Answer in simplified form.

1.  
1
6
÷3 =
2.  
1
9
÷6 =

Complexity=5, Mode=b

Divide. Answer in simplified form.

1.  
3÷
1
5
=
2.  
2÷
1
3
=

Complexity=10, Mode=b

Divide. Answer in simplified form.

1.  
10÷
1
5
=
2.  
10÷
1
6
=

Complexity=10, Mode=ab

Divide. Answer in simplified form.

1.  
1
6
÷4 =
2.  
7÷
1
4
=

Answers

Complexity=5, Mode=a

Divide. Answer in simplified form.

#Correct AnswerYour Answer
1
1
5
÷2 =
Solution
 
 
 
 
 
 
 
 
 
 
When you divide
1
5
into 2 parts, each part is
1
10
.

Dividing is the same as multiplying by the reciprocal.
(A number multiplied by its reciprocal equals 1.)
1
5
÷2 =
1
5
×
1
2
=
1
10
↑↑
reciprocals
#Correct AnswerYour Answer
2
1
3
÷4 =
Solution
 
 
 
 
 
 
 
 
 
 
 
 
When you divide
1
3
into 4 parts, each part is
1
12
.

Dividing is the same as multiplying by the reciprocal.
(A number multiplied by its reciprocal equals 1.)
1
3
÷4 =
1
3
×
1
4
=
1
12
↑↑
reciprocals

Complexity=10, Mode=a

Divide. Answer in simplified form.

#Correct AnswerYour Answer
1
1
6
÷3 =
Solution
Dividing is the same as multiplying by the reciprocal.
(A number multiplied by its reciprocal equals 1.)
1
6
÷3 =
1
6
×
1
3
=
1
18
↑↑
reciprocals
#Correct AnswerYour Answer
2
1
9
÷6 =
Solution
Dividing is the same as multiplying by the reciprocal.
(A number multiplied by its reciprocal equals 1.)
1
9
÷6 =
1
9
×
1
6
=
1
54
↑↑
reciprocals

Complexity=5, Mode=b

Divide. Answer in simplified form.

#Correct AnswerYour Answer
1
3÷
1
5
=
Solution
111
1/51/51/51/51/51/51/51/51/51/51/51/51/51/51/5
Dividing is the same as multiplying by the reciprocal.
(A number multiplied by its reciprocal equals 1.)
3 ÷
1
5
= 3 ×
5
1
= 15
↑↑
reciprocals
#Correct AnswerYour Answer
2
2÷
1
3
=
Solution
11
1/31/31/31/31/31/3
Dividing is the same as multiplying by the reciprocal.
(A number multiplied by its reciprocal equals 1.)
2 ÷
1
3
= 2 ×
3
1
= 6
↑↑
reciprocals

Complexity=10, Mode=b

Divide. Answer in simplified form.

#Correct AnswerYour Answer
1
10÷
1
5
=
Solution
Dividing is the same as multiplying by the reciprocal.
(A number multiplied by its reciprocal equals 1.)
10 ÷
1
5
= 10 ×
5
1
= 50
↑↑
reciprocals
#Correct AnswerYour Answer
2
10÷
1
6
=
Solution
Dividing is the same as multiplying by the reciprocal.
(A number multiplied by its reciprocal equals 1.)
10 ÷
1
6
= 10 ×
6
1
= 60
↑↑
reciprocals

Complexity=10, Mode=ab

Divide. Answer in simplified form.

#Correct AnswerYour Answer
1
1
6
÷4 =
Solution
Dividing is the same as multiplying by the reciprocal.
(A number multiplied by its reciprocal equals 1.)
1
6
÷4 =
1
6
×
1
4
=
1
24
↑↑
reciprocals
#Correct AnswerYour Answer
2
7÷
1
4
=
Solution
Dividing is the same as multiplying by the reciprocal.
(A number multiplied by its reciprocal equals 1.)
7 ÷
1
4
= 7 ×
4
1
= 28
↑↑
reciprocals
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