In this tutorial, we will show you how to multiply fraction with a whole number. In this post, you will see several examples involving different types of fractions to look at all the different possibilities to cover a whole that may be giving you trouble.
Of course, this is one easily solvable problem, you just need to dedicate a few minutes of your time and stay focused. Once you start reading we recommend that you stay focused and look in detail at all the examples listed on this page.
How To Multiply Fraction With Whole Number
When multiplying a fraction by a whole number, the multiplication itself refers to the numerator of the fraction and the whole number. The denominator of the fraction remains the same. Look at the first example!
Example 1: Calculate the product of numerical values:
To calculate this product, we need to multiply the numerator of the fraction – the number 4 by the whole number – the number 6. That product becomes the numerator of the fraction which is the solution to the problem. The denominator of the fraction in the solution remains the same as the original fraction.
As you can see, multiplying a fraction by a whole number is very easy. But we must pay attention to what kind of fraction is a fraction that we get as a result of the mathematical operation. If the fraction is in incorrect notation, we are the ones who have to write it correctly. In this case, we will stitch the obtained result from an irregular fraction into a mixed number. See below:
In this way, we have completed the entire procedure correctly.
Logically, it does not necessarily mean that we always end up with a fraction to which we have to make certain additional adjustments. See the following example:
Example 2: Calculate the product of numerical values:
Again, we proceed in the same way as in the first example:
In this case, with the first step of multiplying a fraction with a whole number, a result is obtained that should not be changed at all, that is, we have obtained a final solution – a fraction in the correct form.
How To Multiply Mixed Number With Whole Number
In this post we will also consider the question of how to multiply a mixed number by a whole number. A part of every mixed number is a fraction, so let’s look at that issue as a whole.
Part of the procedure is the same as what we have already seen above in this page. The difference is that here, when multiplying a mixed number by an integer, we first need to convert the mixed number into an improper fraction, and only then solve the problem.
Example 3: Calculate the product of numerical values:
In the first step, we convert the mixed number into a fraction:
Finally, we use the same rule for how to multiply fraction with whole number:
Of course, at the end we have to convert the fraction that we got in an irregular form into a regular fraction:
Use the video seen further down the page, which contains many more examples of how to multiply fraction with a whole number.
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