**Multiplication of fractions** is pretty simple compared to addition and subtraction. And guess what, you don't have to find a common denominator. Just follow these four easy steps:

- Convert all mixed numbers to improper fractions.
- Multiply the numerators.
- Multiply the denominators.
- Reduce your final answer.

### Multiplication Example 1

| First convert 3½ to an improper fraction |

| Next multiply the numerators, then multiply the denominators |

| This is your answer |

| If you'd like, you could convert that into a mixed number |

### Multiplication Example 2

| Multiply the numerators, then multiply the denominators. |

| Reduce the fraction (12 and 72 have a GCF of 12) |

| |

## Cross-Canceling

Instead of reducing the fraction at the end of the problem, you can **cross-cancel*** before you multiply*.

Cross-canceling means that when multiplying fractions you can reduce the numerator of one fraction with the denominator of another. In this example, 5 and 10 can both be divided by 5.

Let's look at the three examples again and see how to use this method.

### Cross-Canceling Example 1

| |

| In this first example, we cannot use cross-canceling, since 5 and 2 do not share a common factor, and neither do 7 and 6 |

| |

| |

### Cross-Canceling Example 2

| |

| Here we can reduce the 3 and 9 (by 3) and we can also reduce the 4 and 8 (by 4) |

| |

### Cross-Canceling Example 3

| First convert each to an improper fraction |

| 14 and 7 can each be reduced by 7 |

| Cross cancel |

| Here's the answer |

| If you'd like, you can turn it back in to a mixed number |

## Multiplying a Whole Number by a Fraction

Well, remember that all real numbers can be written as fractions. With a whole number, all you need to do is place it over a denominator of 1.

Let's look at an example, shall we?