Dividing mixed numbers

To divide mixed numbers, you need to convert them into improper fractions, then do the usual division of fractions. That is, multiply the first fraction by the inversed second fraction.

Example 1. Find the value of the expression

Let's convert the mixed numbers into improper fractions. We obtain the following expression:

We already know how to solve this problem. The first fraction must be multiplied by the inverse of the second fraction. The inverse of the second fraction is fraction .

Let's finish this example to the end:

Let's say there are two whole and half pizzas:

If we ask the question "How many times (one whole and one quarter pizza) is in two whole and one half pizza", the answer is "two times":

Example 2. Find the value of the expression

Let's convert the mixed numbers into improper fractions. We obtain the following expression:

Now multiply the first fraction by the inverse of the second fraction. The inverse of the fraction is the fraction

First, we got a fraction . We reduced this fraction by 9. As a result, we got a fraction , but we were not satisfied with this answer either, so we separated the whole part from the fraction . As a result, we got the final answer .

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