# What is 1/3 of 415?

In this article, we'll show you exactly how to calculate 1/3 of 415 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 1/3 of 415? 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 415 into a fraction, to work out the answer, we put the fraction 1/3 side by side with our new fraction, 415/1 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:

As you can see in this case, the numerator is higher than the denominator. What this means is that we can simplify the answer down to a mixed number, also known as a mixed fraction.

To do that, we need to convert the improper fraction to a mixed fraction. We won't explain that in detail here because we have another article that already covers it for 415/3. Click here to find out how to convert 415/3 to a mixed fraction.

The complete and simplified answer to the question what is 1/3 of 415 is:

138 1/3

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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