Calculating the fraction of a whole number is a very useful skill to learn that helps students to understand the nature of numbers and their interactions. In this article, we'll explain how to calculate the fraction of a whole number with links to a lot of different examples to help you fully understand the concept.
Looking for fractions of whole number worksheets? Click here to see all of our free fraction of a number worksheets.
Enter your fraction in the A and B boxes, and your whole number in the C box below and click "Calculate" to calculate the fraction of the number.
The simple rule to remember whenever you want to find a fraction of an amount is to divide the amount by the fraction's denominator, and then multiply that answer by the fraction. For this example let's try and calculate 25 of 40.
First we take the amount, 40, and divide it by the denominator, 5:
Next, we take the answer, 8, and multiply it by the numerator, 2:
In this example, 2/5 of 40 is 16.
Sometimes, you might want to show your answer as another fraction. In that case, we can do the following.
First, we take the whole number and turn it into a fraction by using 1 as the fraction denominator: 401.
Next, we multiply the numerators and the denominators of the original fraction, 25, and the new fraction, 401:
This leaves us with a fraction answer of 80/5, which if you were to simplify down to its lowest terms, is the same as the answer we got originally, 16.
Practice Fraction of Number Worksheets
Like most math problems, finding the fraction of a number is something that will get much easier for you the more you practice the problems and the more you practice, the more you understand.
Whether you are a student, a parent, or a teacher, you can create your own fractions of a whole number worksheets using our fraction of a number worksheet generator. This completely free tool will let you create completely randomized, differentiated, fraction of a number problems to help you with your learning and understanding of fractions.
Practice Fractions of a Number Using Examples
If you want to continue learning about how to calculate the fraction of a whole number, take a look at the quick calculations and random calculations in the sidebar to the right of this blog post.
We have listed some of the most common fractions in the quick calculation section, and a selection of completely random fractions as well, to help you work through a number of problems.
Each article will show you, step-by-step, how to work out the fraction of any whole number and will help students to really learn and understand this process.