## 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.
 12
÷2 =
2.
 14
÷4 =

### Complexity=10, Mode=a

Divide. Answer in simplified form.
1.
 13
÷5 =
2.
 13
÷7 =

### Complexity=5, Mode=b

Divide. Answer in simplified form.
1.
4÷
 14
=
2.
3÷
 14
=

### Complexity=10, Mode=b

Divide. Answer in simplified form.
1.
5÷
 14
=
2.
5÷
 15
=

### Complexity=10, Mode=ab

Divide. Answer in simplified form.
1.
10÷
 17
=
2.
 12
÷10 =

### Complexity=5, Mode=a

Divide. Answer in simplified form.
1
 12
÷2 =
Solution
When you divide
 12
into 2 parts, each part is
 14
.

Dividing is the same as multiplying by the reciprocal.
(A number multiplied by its reciprocal equals 1.)
 12
÷2 =
 12
×
 12
=
 14
reciprocals
2
 14
÷4 =
Solution
When you divide
 14
into 4 parts, each part is
 116
.

Dividing is the same as multiplying by the reciprocal.
(A number multiplied by its reciprocal equals 1.)
 14
÷4 =
 14
×
 14
=
 116
reciprocals

### Complexity=10, Mode=a

Divide. Answer in simplified form.
1
 13
÷5 =
Solution
Dividing is the same as multiplying by the reciprocal.
(A number multiplied by its reciprocal equals 1.)
 13
÷5 =
 13
×
 15
=
 115
reciprocals
2
 13
÷7 =
Solution
Dividing is the same as multiplying by the reciprocal.
(A number multiplied by its reciprocal equals 1.)
 13
÷7 =
 13
×
 17
=
 121
reciprocals

### Complexity=5, Mode=b

Divide. Answer in simplified form.
1
4÷
 14
=
Solution
 1 1 1 1 1/4 1/4 1/4 1/4 1/4 1/4 1/4 1/4 1/4 1/4 1/4 1/4 1/4 1/4 1/4 1/4
Dividing is the same as multiplying by the reciprocal.
(A number multiplied by its reciprocal equals 1.)
4 ÷
 14
= 4 ×
 41
= 16
reciprocals
2
3÷
 14
=
Solution
 1 1 1 1/4 1/4 1/4 1/4 1/4 1/4 1/4 1/4 1/4 1/4 1/4 1/4
Dividing is the same as multiplying by the reciprocal.
(A number multiplied by its reciprocal equals 1.)
3 ÷
 14
= 3 ×
 41
= 12
reciprocals

### Complexity=10, Mode=b

Divide. Answer in simplified form.
1
5÷
 14
=
Solution
Dividing is the same as multiplying by the reciprocal.
(A number multiplied by its reciprocal equals 1.)
5 ÷
 14
= 5 ×
 41
= 20
reciprocals
2
5÷
 15
=
Solution
Dividing is the same as multiplying by the reciprocal.
(A number multiplied by its reciprocal equals 1.)
5 ÷
 15
= 5 ×
 51
= 25
reciprocals

### Complexity=10, Mode=ab

Divide. Answer in simplified form.
1
10÷
 17
=
Solution
Dividing is the same as multiplying by the reciprocal.
(A number multiplied by its reciprocal equals 1.)
10 ÷
 17
= 10 ×
 71
= 70
reciprocals
2
 12
÷10 =
Solution
Dividing is the same as multiplying by the reciprocal.
(A number multiplied by its reciprocal equals 1.)
 12
÷10 =
 12
×
 110
=
 120
reciprocals