Here on this page, we will process one of the most specific mathematical operations. The question is: How to divide mixed numbers by mixed numbers? Usually, mixed numbers or mixed fractions are the most problematic when one wants to learn basic mathematical operations related to different representations of a numerical value. That’s why we’re going to pay a lot of attention to them so that you’ll never again be afraid in the future when you have to solve an example that contains a numerical value represented as a mixed number!
A mixed number has two different parts! It has an integer value and also contains a fraction. Therefore, at the beginning we need to convert it into a simpler form. So let’s start by introducing the rules for dividing mixed numbers. Continue reading below:
How To Divide Mixed By Mixed Numbers
When dividing mixed numbers by mixed numbers, the rules should be followed:
- First, at the beginning, we convert both mixed numbers into improper fractions.
- Next, we follow the rules for dividing fractions. We do not change the first fraction, we change the division operation by multiplication, and on the second fraction we change the places of the numerator and the denominator, that is, we multiply by its reciprocal value.
- Third, we multiply the improper fractions.
- In the last step (if there is such a need), we convert the obtained quotient (result) into a mixed number.
By following the four rules listed above on the page, we can divide mixed numbers by mixed numbers very easily. Check out the solved example below:
Example 1: Perform the division of mixed numbers in the example below:
First, we convert mixed numbers (mixed fractions) into improper fractions. After the appropriate conversion, the mathematical expression takes the following form:
In the next step, we apply the rules for dividing fractions (be sure to refer to the second step of the above rules for dividing mixed by mixed numbers). After applying the instructions from step number two, the expression looks like this:
In the next step, we multiply the numbers, applying the rules for multiplying fractions. See the next step:
Finally, in the last step, we transform the obtained result into a mixed number!
Not very difficult? As can be seen in the solved example, despite following several different steps, it can still be said that it is an easy mathematical calculation!
Every reader is welcome to view video examples with solved problems for dividing mixed numbers by mixed numbers. In the video below there are many examples aimed at automating the steps you need to perform to successfully divide mixed by mixed numbers.
If you have any additional questions, feel free to write your comment below on this same page. If you liked the site, stay tuned for the new content that we will publish in the future. Greeting!
