The main question asked on this page is how to convert mixed number to improper fraction. Often, when working on certain mathematical problems, we need to perform conversions from one type of numerical representation to a completely different type of representation. Here on this page, we are concentrating on converting a mixed number to an improper fraction. Just for reference, an improper fraction has a larger numerator than a denominator, while a mixed number is a number that contains a whole number and a fraction.
Very often mixed numbers can be problematic when working with data. So let’s see how to convert from a mixed number to a fraction in a very easy way.
Converting A Mixed Number To An Improper Fraction
In converting a mixed number into an improper fraction, the following rules should be followed:
- When converting from a mixed number to a fraction, we do not change the denominator of the fractional part of the mixed number, i.e. the improper fraction has the same denominator as the fractional part of the mixed number.
- When converting from a mixed number to an improper fraction, the numerator of the improper fraction is obtained as the product of the whole number and the denominator plus the numerator of the mixed number.
By following the rules above, we can convert any mixed number into an improper fraction. So let’s look at one such example.
Example 1: Convert the mixed number below to a fraction:
Following the rules, we approach thinking in the following way:
The fractional part of the mixed part has a denominator of 4. Therefore, the improper fraction that we need to convert must have a denominator of 4.
We get the numerator of the irregular fraction as the product of the whole number and the denominator plus the numerator of the mixed number (2×4+3). Therefore, the numerator of the improper fraction must be 11. The whole procedure and calculation look like this:
As you have already seen, the procedure for converting a mixed number to an improper fraction is quite simple. Each new conversion completes successfully in the same way. So if you only know one example, then you will succeed with any new example.
Examples In Video Format
In the video below you have ten different examples of converting from a mixed number to an improper fraction. We advise you to watch the video carefully and use it for self-testing and practicing different examples from this topic.
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