What is 0.33333 as a fraction?

When learning mathematics, you will often see values expressed in both decimal and fraction forms. While decimal and fraction form may look very different from each other, when they are equivalent, then they are just two different ways of expressing the same value. Being able to quickly and accurately express a decimal like 0.33333 as a fraction is an incredibly important math skill. This short guide will define .33333 as a fraction and help you to understand why the answer is true.

Answer: 0.33333 as a fraction is 1/3

Now that you know that .33333 as a fraction is 1/3, let’s explore why this math fact is true.

Why does 0.33333 as a fraction equal to 1/3?

You can start by determining how many digits there are to the right of the decimal point. In this case, there are 5 digits after the decimal point since there are five 3’s.

The next step is to take away the decimal point and then divide the remaining number (33333) by 10 raised to the power of the number of digits after the decimal point (which was 5 in this example), as follows:

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The next step is to express the result as a fraction in simplest form. So, we can rewrite and expand the division problem above as follows:

Since there is no Greatest Common Factor (GCF) between the numerator and the denominator (other than 1), the fraction 33333/100000 can not be further simplified or reduced.

Therefore, you are left with 0.3 repeating, which is equal to 1/3.

Conclusion: 0.33333 as a fraction is 1/3 (one-third)

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