# What is 1/4 of 460?

In this article, we'll show you exactly how to calculate 1/4 of 460 so you can work out the fraction of any number quickly and easily! Let's get to the math!

Want to quickly learn or show students how to convert 1/4 of 460? Play this very quick and fun video now!

You probably know that the number above the fraction line is called the numerator and the number below it is called the denominator. To work out the fraction of any number, we first need to convert that whole number into a fraction as well.

Here's a little tip for you. Any number can be converted to fraction if you use 1 as the denominator:

So now that we've converted 460 into a fraction, to work out the answer, we put the fraction 1/4 side by side with our new fraction, 460/1 so that we can multiply those two fractions.

That's right, all you need to do is convert the whole number to a fraction and then multiply the numerators and denominators. Let's take a look:

In this case, our new fraction can actually be simplified down further. To do that, we need to find the greatest common factor of both numbers.

You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and **the GCF of 460 and 4 is 4**.

We can now divide both the new numerator and the denominator by 4 to simplify this fraction down to its lowest terms.

460/4 = 115

4/4 = 1

When we put that together, we can see that our complete answer is:

The complete and simplified answer to the question what is 1/4 of 460 is:

115

Hopefully this tutorial has helped you to understand how to find the fraction of any whole number. You can now go give it a go with more numbers to practice your newfound fraction skills.

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