## 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.
 13
×
 22
2.
 23
×
 12

### Complexity=4, Mode=simple

Multiply each pair of fractions and simplify the result.
1.
 23
×
 34
2.
 22
×
 22

### Complexity=6, Mode=simple

Multiply each pair of fractions and simplify the result.
1.
 34
×
 22
2.
 14
×
 46

### Complexity=3, Mode=improper

Multiply each pair of fractions and simplify the result.
1.
 22
×
 23
2.
 33
×
 12

### Complexity=5, Mode=improper

Multiply each pair of fractions and simplify the result.
1.
 23
×
 22
2.
 44
×
 34

### Complexity=7, Mode=improper

Multiply each pair of fractions and simplify the result.
1.
 76
×
 42
2.
 42
×
 77

### Complexity=3, Mode=mixed

Multiply each pair of fractions and simplify the result.
1.
 3 23
×
 23
2.
 12
×
 3 12

### Complexity=6, Mode=mixed

Multiply each pair of fractions and simplify the result.
1.
 2 12
×
 1 23
2.
 3 45
×
 2 16

### Complexity=10, Mode=mixed

Multiply each pair of fractions and simplify the result.
1.
 3 48
×
 67
2.
 1 34
×
 18

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

Multiply each pair of fractions and simplify the result.
1.
 1 109
×
 3 310
2.
 2 48
×
 2 108

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

Multiply each pair of fractions and simplify the result.
1.
 1 1315
×
 2 59
2.
 2 174
×
 615

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

Multiply each pair of fractions and simplify the result.
1.
 1822
×
 3 1618
2.
 3 126
×
 2 2112

### Complexity=3, Mode=simple

Multiply each pair of fractions and simplify the result.
1
 13
×
 22
Solution
Simplify fractions to reduce denominators.
 13
× 1
 13
2
 23
×
 12
Solution
Eliminate common factors.
 1 × 23
×
 11 × 2
 13
×
 11
Multiply numerators and denominators.
 13

### Complexity=4, Mode=simple

Multiply each pair of fractions and simplify the result.
1
 23
×
 34
Solution
Eliminate common factors.
 1 × 21 × 3
×
 1 × 32 × 2
 11
×
 12
Multiply numerators and denominators.
 12
2
 22
×
 22
Solution
Simplify fractions to reduce denominators.
 1 × 1

Multiply
1

### Complexity=6, Mode=simple

Multiply each pair of fractions and simplify the result.
1
 34
×
 22
Solution
Simplify fractions to reduce denominators.
 34
× 1
 34
2
 14
×
 46
Solution
Simplify fractions to reduce denominators.
 14
×
 23
Eliminate common factors.
 12 × 2
×
 1 × 23
 12
×
 13
Multiply numerators and denominators.
 16

### Complexity=3, Mode=improper

Multiply each pair of fractions and simplify the result.
1
 22
×
 23
Solution
Simplify fractions to reduce denominators.
1 ×
 23
 23
2
 33
×
 12
Solution
Simplify fractions to reduce denominators.
1 ×
 12
 12

### Complexity=5, Mode=improper

Multiply each pair of fractions and simplify the result.
1
 23
×
 22
Solution
Simplify fractions to reduce denominators.
 23
× 1
 23
2
 44
×
 34
Solution
Simplify fractions to reduce denominators.
1 ×
 34
 34

### Complexity=7, Mode=improper

Multiply each pair of fractions and simplify the result.
1
 76
×
 42
Solution
Simplify fractions to reduce denominators.
 76
× 2
Convert to improper fractions.
 76
×
 21
Eliminate common factors.
 73 × 2
×
 1 × 21
 73
×
 11
Multiply numerators and denominators.
 73
Now simplify.
 2 13
2
 42
×
 77
Solution
Simplify fractions to reduce denominators.
 2 × 1

Multiply
2

### Complexity=3, Mode=mixed

Multiply each pair of fractions and simplify the result.
1
 3 23
×
 23
Solution
Convert to improper fractions.
 113
×
 23
Multiply numerators and denominators.
 229
Now simplify.
 2 49
2
 12
×
 3 12
Solution
Convert to improper fractions.
 12
×
 72
Multiply numerators and denominators.
 74
Now simplify.
 1 34

### Complexity=6, Mode=mixed

Multiply each pair of fractions and simplify the result.
1
 2 12
×
 1 23
Solution
Convert to improper fractions.
 52
×
 53
Multiply numerators and denominators.
 256
Now simplify.
 4 16
2
 3 45
×
 2 16
Solution
Convert to improper fractions.
 195
×
 136
Multiply numerators and denominators.
 24730
Now simplify.
 8 730

### Complexity=10, Mode=mixed

Multiply each pair of fractions and simplify the result.
1
 3 48
×
 67
Solution
Simplify fractions to reduce denominators.
 3 12
×
 67
Convert to improper fractions.
 72
×
 67
Eliminate common factors.
 1 × 71 × 2
×
 3 × 21 × 7
 11
×
 31
Multiply numerators and denominators.
 31
Now simplify.
3
2
 1 34
×
 18
Solution
Convert to improper fractions.
 74
×
 18
Multiply numerators and denominators.
 732

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

Multiply each pair of fractions and simplify the result.
1
 1 109
×
 3 310
Solution
Convert to improper fractions.
 199
×
 3310
Eliminate common factors.
 193 × 3
×
 11 × 310
 193
×
 1110
Multiply numerators and denominators.
 20930
Now simplify.
 6 2930
2
 2 48
×
 2 108
Solution
Simplify fractions to reduce denominators.
 2 12
×
 3 14
Convert to improper fractions.
 52
×
 134
Multiply numerators and denominators.
 658
Now simplify.
 8 18

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

Multiply each pair of fractions and simplify the result.
1
 1 1315
×
 2 59
Solution
Convert to improper fractions.
 2815
×
 239
Multiply numerators and denominators.
 644135
Now simplify.
 4 104135
2
 2 174
×
 615
Solution
Simplify fractions to reduce denominators.
 2 174
×
 25
Convert to improper fractions.
 254
×
 25
Eliminate common factors.
 5 × 52 × 2
×
 1 × 21 × 5
 52
×
 11
Multiply numerators and denominators.
 52
Now simplify.
 2 12

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

Multiply each pair of fractions and simplify the result.
1
 1822
×
 3 1618
Solution
Simplify fractions to reduce denominators.
 911
×
 3 89
Convert to improper fractions.
 911
×
 359
Eliminate common factors.
 1 × 911
×
 351 × 9
 111
×
 351
Multiply numerators and denominators.
 3511
Now simplify.
 3 211
2
 3 126
×
 2 2112
Solution
Simplify fractions to reduce denominators.
 3 126
×
 3 34
Convert to improper fractions.
 7926
×
 154
Multiply numerators and denominators.
 1185104
Now simplify.
 11 41104