There are problems that require you to multiply mixed numbers. For example, multiply and . To solve this example, you must convert these mixed numbers to improper fractions, then multiply the improper fractions:

Let's try to understand this example with the help of a picture. Let's say there is one whole pizza and one half of a pizza:

Now let's deal with the mixed multiplier of . This multiplier means that one whole and half pizza must be taken 2 times and another times.

The multiplier 2 is clear: it means that one whole pizza and one half pizza must be taken twice. Let's take two whole pizzas and two halves:

But we still have of the original whole pizza and half, because the multiplier was a mixed number of . To do this, go back to the original one whole pizza and half pizza, and divide them into equal parts so that we can take exactly half of them. And we can take half if we divide the whole pizza into four parts, and the half into two parts:

We have divided our whole pizza and half into equal pieces, and now we can say what is half of those pieces. Half of those slices is of a pizza. This can be clearly seen if we arrange our equal slices as follows:

And if you look at the original whole pizza and the half in terms of such an order as in this picture, the half of them is of the pizza.

Therefore, the value of the expression is

Example 2. Find the value of the expression

Convert the mixed numbers into improper fractions and multiply those improper fractions. If the answer is an improper fraction, select the whole part of the fraction: