Calculating the fraction of a whole number is a very useful skill to learn that helps students to lớn understand the nature of numbers và their interactions. In this article, we"ll explain how lớn calculate một nửa of 10 with step-by-step-examples.

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Looking for fractions of whole number worksheets? Click here to see all of our không lấy phí fraction of a number worksheets.


Calculating the Answer as a Number

The simple rule to remember whenever you want lớn find a fraction of an amount is to lớn divide the amount by the fraction"s denominator, và then multiply that answer by the fraction. Using this rule, you"ll be able to lớn work out the fractional amount of the original number. Let"s work it out together.

First we take the amount, 10, và divide it by the denominator, 2:


As you can see, the answer to the question "what is 1/2 of 10?" as a number is 5.

Increase or Decrease an Amount by a Fraction

What if you wanted khổng lồ increase or decrease 10 by 1/2? Once you have calculated the answer above, 5, you deduct that amount from the whole number lớn decrease it by 50% and you showroom it to lớn increase:


Calculating the Answer as a Fraction

Sometimes, you might want to show your answer as another fraction. In that case, we can bởi the following.

First, we take the whole number và turn it into a fraction by using 1 as the fraction denominator:


Now that we have two fractions, we can multiply the numerators & denominators together to lớn get our answer in fraction form:


We can simplify this new fraction down to lớn lower terms. To bởi vì that we need khổng lồ know something in math which is called the GCD, or greatest common divisor.

I won"t go through the steps of finding the GCD here as we"ll cover it in a future article, but for now all you need to lớn know is that the greatest common divisor of 10 và 2 is 2.

Using the GCD, we can divide the new numerator (10) & the denominator (2) by 2 lớn simplify the fraction:


Now you might have noticed that the fraction we have has a numerator that is larger than the denominator. This is called a mixed or improper fraction and means that there is a whole number involved. We can simplify this down khổng lồ a mixed number.

We"ll put together a blog post on converting improper fractions lớn a mixed number lớn explain those steps in more detail, but for the purposes of this article, we"ll go ahead & just give you the mixed number answer:


Hopefully this article helps you khổng lồ understand how you can work with fractions of whole numbers and work this out quickly for yourself whenever you need it.

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 miễn phí tool will let you create completely randomized, differentiated, fraction of a number problems to lớn help you with your learning và understanding of fractions.

Practice Fractions of a Number Using Examples

If you want khổng lồ continue learning about how to calculate the fraction of a whole number, take a look at the quick calculations & random calculations in the sidebar to lớn the right of this blog post.

We have listed some of the most common fractions in the quick calculation section, và a selection of completely random fractions as well, to lớn help you work through a number of problems.

Each article will show you, step-by-step, how lớn work out the fraction of any whole number & will help students lớn really learn và understand this process.

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Calculate Another Fraction of a Number


Enter your fraction in the A và B boxes, và your whole number in the C box below và click "Calculate" to calculate the fraction of the number.