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## 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.

See some of our other supported math practice problems.

### Complexity=3, Mode=simple

Multiply each pair of fractions and simplify the result.

1.
 22
×
 13
2.
 12
×
 22

### Complexity=4, Mode=simple

Multiply each pair of fractions and simplify the result.

1.
 14
×
 12
2.
 13
×
 22

### Complexity=6, Mode=simple

Multiply each pair of fractions and simplify the result.

1.
 45
×
 15
2.
 33
×
 34

### Complexity=3, Mode=improper

Multiply each pair of fractions and simplify the result.

1.
 33
×
 13
2.
 32
×
 12

### Complexity=5, Mode=improper

Multiply each pair of fractions and simplify the result.

1.
 53
×
 23
2.
 22
×
 54

### Complexity=7, Mode=improper

Multiply each pair of fractions and simplify the result.

1.
 32
×
 76
2.
 43
×
 73

### Complexity=3, Mode=mixed

Multiply each pair of fractions and simplify the result.

1.
 1 23
×
 13
2.
 2 23
×
 3 23

### Complexity=6, Mode=mixed

Multiply each pair of fractions and simplify the result.

1.
 2 45
×
 1 23
2.
 2 23
×
 3 35

### Complexity=10, Mode=mixed

Multiply each pair of fractions and simplify the result.

1.
 2 24
×
 46
2.
 2 18
×
 2 39

### Complexity=12, Mode=mixed-imp

Multiply each pair of fractions and simplify the result.

1.
 412
×
 3 1012
2.
 2 1012
×
 2 89

### Complexity=20, Mode=mixed-imp

Multiply each pair of fractions and simplify the result.

1.
 3 1420
×
 3 412
2.
 2 166
×
 3 139

### Complexity=50, Mode=mixed-imp

Multiply each pair of fractions and simplify the result.

1.
 1 229
×
 2 206
2.
 1 3632
×
 3 3736

### Complexity=3, Mode=simple

Multiply each pair of fractions and simplify the result.

1
 22
×
 13
Solution
Simplify fractions to reduce denominators.
1 ×
 13
 13
2
 12
×
 22
Solution
Simplify fractions to reduce denominators.
 12
× 1
 12

### Complexity=4, Mode=simple

Multiply each pair of fractions and simplify the result.

1
 14
×
 12
Solution
Multiply numerators and denominators.
 18
2
 13
×
 22
Solution
Simplify fractions to reduce denominators.
 13
× 1
 13

### Complexity=6, Mode=simple

Multiply each pair of fractions and simplify the result.

1
 45
×
 15
Solution
Multiply numerators and denominators.
 425
2
 33
×
 34
Solution
Simplify fractions to reduce denominators.
1 ×
 34
 34

### Complexity=3, Mode=improper

Multiply each pair of fractions and simplify the result.

1
 33
×
 13
Solution
Simplify fractions to reduce denominators.
1 ×
 13
 13
2
 32
×
 12
Solution
Multiply numerators and denominators.
 34

### Complexity=5, Mode=improper

Multiply each pair of fractions and simplify the result.

1
 53
×
 23
Solution
Multiply numerators and denominators.
 109
Now simplify.
 1 19
2
 22
×
 54
Solution
Simplify fractions to reduce denominators.
1 ×
 54
Now simplify.
 1 14

### Complexity=7, Mode=improper

Multiply each pair of fractions and simplify the result.

1
 32
×
 76
Solution
Eliminate common factors.
 1 × 32
×
 72 × 3
 12
×
 72
Multiply numerators and denominators.
 74
Now simplify.
 1 34
2
 43
×
 73
Solution
Multiply numerators and denominators.
 289
Now simplify.
 3 19

### Complexity=3, Mode=mixed

Multiply each pair of fractions and simplify the result.

1
 1 23
×
 13
Solution
Convert to improper fractions.
 53
×
 13
Multiply numerators and denominators.
 59
2
 2 23
×
 3 23
Solution
Convert to improper fractions.
 83
×
 113
Multiply numerators and denominators.
 889
Now simplify.
 9 79

### Complexity=6, Mode=mixed

Multiply each pair of fractions and simplify the result.

1
 2 45
×
 1 23
Solution
Convert to improper fractions.
 145
×
 53
Eliminate common factors.
 141 × 5
×
 1 × 53
 141
×
 13
Multiply numerators and denominators.
 143
Now simplify.
 4 23
2
 2 23
×
 3 35
Solution
Convert to improper fractions.
 83
×
 185
Eliminate common factors.
 81 × 3
×
 6 × 35
 81
×
 65
Multiply numerators and denominators.
 485
Now simplify.
 9 35

### Complexity=10, Mode=mixed

Multiply each pair of fractions and simplify the result.

1
 2 24
×
 46
Solution
Simplify fractions to reduce denominators.
 2 12
×
 23
Convert to improper fractions.
 52
×
 23
Eliminate common factors.
 51 × 2
×
 1 × 23
 51
×
 13
Multiply numerators and denominators.
 53
Now simplify.
 1 23
2
 2 18
×
 2 39
Solution
Simplify fractions to reduce denominators.
 2 18
×
 2 13
Convert to improper fractions.
 178
×
 73
Multiply numerators and denominators.
 11924
Now simplify.
 4 2324

### Complexity=12, Mode=mixed-imp

Multiply each pair of fractions and simplify the result.

1
 412
×
 3 1012
Solution
Simplify fractions to reduce denominators.
 13
×
 3 56
Convert to improper fractions.
 13
×
 236
Multiply numerators and denominators.
 2318
Now simplify.
 1 518
2
 2 1012
×
 2 89
Solution
Simplify fractions to reduce denominators.
 2 56
×
 2 89
Convert to improper fractions.
 176
×
 269
Eliminate common factors.
 173 × 2
×
 13 × 29
 173
×
 139
Multiply numerators and denominators.
 22127
Now simplify.
 8 527

### Complexity=20, Mode=mixed-imp

Multiply each pair of fractions and simplify the result.

1
 3 1420
×
 3 412
Solution
Simplify fractions to reduce denominators.
 3 710
×
 3 13
Convert to improper fractions.
 3710
×
 103
Eliminate common factors.
 371 × 10
×
 1 × 103
 371
×
 13
Multiply numerators and denominators.
 373
Now simplify.
 12 13
2
 2 166
×
 3 139
Solution
Simplify fractions to reduce denominators.
 4 23
×
 3 139
Convert to improper fractions.
 143
×
 409
Multiply numerators and denominators.
 56027
Now simplify.
 20 2027

### Complexity=50, Mode=mixed-imp

Multiply each pair of fractions and simplify the result.

1
 1 229
×
 2 206
Solution
Simplify fractions to reduce denominators.
 1 229
×
 5 13
Convert to improper fractions.
 319
×
 163
Multiply numerators and denominators.
 49627
Now simplify.
 18 1027
2
 1 3632
×
 3 3736
Solution
Simplify fractions to reduce denominators.
 2 18
×
 3 3736
Convert to improper fractions.
 178
×
 14536
Multiply numerators and denominators.
 2465288
Now simplify.
 8 161288   