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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.
 15
× 2 =
2.
 110
× 3 =

### 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.
 23
× 4 =
2.
 16
× 9 =

### 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.
 12
× 3 =
2.
 35
× 6 =

### 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.
 78
× 9 =
2.
 23
× 2 =

### 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
 15
× 2 =
Solution
Unsimplified form
 15
× 2 =
 15
× 2
1
=   1 × 2
5 × 1
=
 25
Simplified form
 25
2
 110
× 3 =
Solution
Unsimplified form
 110
× 3 =
 110
× 3
1
=   1 × 3
10 × 1
=
 310
Simplified form
 310

### 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
 23
× 4 =
Solution
Unsimplified form
 23
× 4 =
 23
× 4
1
=   2 × 4
3 × 1
=
 83
Simplified form
 83
can be simplified because 8 > 3.
8 ÷ 3 = 2 R 2
 83
=
 2 23
2
 16
× 9 =
Solution
Unsimplified form
 16
× 9 =
 16
× 9
1
=   1 × 9
6 × 1
=
 96
Simplified form
 96
can be simplified because 9 > 6.
9 ÷ 6 = 1 R 3
 96
=
 1 36
3 and 6 are both divisible by 3.
 36
=
 3 ÷ 36 ÷ 3
= 1
2
 1 36
=
 1 12

### 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
 12
× 3 =
Solution
Unsimplified form
 12
× 3 =
 12
× 3
1
=   1 × 3
2 × 1
=
 32
Simplified form
 32
can be simplified because 3 > 2.
3 ÷ 2 = 1 R 1
 32
=
 1 12
2
 35
× 6 =
Solution
Unsimplified form
 35
× 6 =
 35
× 6
1
=   3 × 6
5 × 1
=
 185
Simplified form
 185
can be simplified because 18 > 5.
18 ÷ 5 = 3 R 3
 185
=
 3 35

### 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
 78
× 9 =
Solution
Unsimplified form
 78
× 9 =
 78
× 9
1
=   7 × 9
8 × 1
=
 638
Simplified form
 638
can be simplified because 63 > 8.
63 ÷ 8 = 7 R 7
 638
=
 7 78
2
 23
× 2 =
Solution
Unsimplified form
 23
× 2 =
 23
× 2
1
=   2 × 2
3 × 1
=
 43
Simplified form
 43
can be simplified because 4 > 3.
4 ÷ 3 = 1 R 1
 43
=
 1 13