Here you can find rules for how to convert improper fractions to mixed numbers. In addition to the rules, below on this same page you can see solved examples of converting improper fractions into a mixed numbers in text form and video form.
The advantages you will encounter if you decide to use our materials allow you to understand whether you have understood this math guide well or not. Solved examples in video format offer you the advantage of being able to control the speed of solving. Of course, our readers can use these same examples as examples for self-testing. Simply stop the video and try to predict each next step from the solutions. It is not difficult to realize that if you successfully anticipate each new step, as well as the final solution, you have completed your work. This will mean that you know how to convert improper fractions into mixed numbers.
Now that we all know exactly what this page is about, let’s get started. Below you have everything you need.
Converting Improper Fractions To Mixed Number
If you want to successfully convert improper fractions to mixed numbers, follow the simple rules listed below:
- First, start by dividing the numerator of the improper fraction by its denominator.
- The whole number obtained during the division shows us the integer value of the mixed number.
- The remainder obtained during division shows us the numerator of the fractional part of the mixed number.
- The denominator of the fractional part of the mixed number remains identical to the denominator of the improper fraction.
The above rules show that this conversion is not complicated at all. Therefore, our recommendation to you, our readers, is not to use a calculator for such an easy procedure, which you can easily learn, learn to apply. Of course, we all know that the continuous application of such mental strategies, enables the development of intelligence and logical thinking.
Examples
Let’s look at examples that apply the four rules for converting an improper fraction to a mixed number. Check out the solved examples below:
Example 1: Convert an improper fraction to a mixed number:
First, let’s do the division of the numerator 13 and the denominator 5.
From the solution obtained during the division, it is clearly seen that the final result is 2, and the remainder is 3. Therefore, according to the rules listed above, the whole part of the mixed number is 2 (as the result of the division), the numerator of the fractional part of the mixed number is 3 (as the remainder obtained during division). Clearly, the denominator of the fractional part of the mixed number is identical to the denominator of the improper fraction, i.e. it is 5.
The complete conversion should look like this:
Check how it is possible to do the reverse procedure – Converting a mixed number to a fraction!
Let’s look at another example. See below:
Example 2: Convert an improper fraction to a mixed number:
First, let’s do the division of the numerator 17 and the denominator 4.
From the solution obtained during the division, it is clearly seen that the final result is 4, and the remainder is 1. Therefore, according to the rules listed above, the whole part of the mixed number is 4 (as the result of the division), the numerator of the fractional part of the mixed number is 1 (as the remainder obtained during division). The denominator is 4.
The complete conversion should look like this:
The two solved examples above clearly confirm that this kind of conversion is extremely very easy. Use that to avoid using a calculator for such a simple math procedure.
Video Conversion
The video presented below on the page contains many examples of converting improper fractions into mixed numbers. Go through the examples, and use them (by pausing the video) to determine if you got the point or if you need to pay more attention.
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