# Multiplying Fractions & Mixed Numbers

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:

1. Convert all mixed numbers to improper fractions.
2. Multiply the numerators.
3. Multiply the denominators.

### Multiplication Example 1

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

 First convert 3½ to an improper fraction Next multiply the numerators, then multiply the denominators This is your answer

### 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 into 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?