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What Is 1/3 As A Decimal

What Is 1/3 As A Decimal

Understanding What Is 1/3 As A Decimal

When it comes to understanding fractions and decimals, it is essential to know how to convert fractions into decimal form. A fraction represents a part of a whole, while a decimal number consists of a whole number part and a fractional part separated by a decimal point. Let’s delve into the process of expressing 1/3 as a decimal.

Converting 1/3 to a Decimal

To convert 1/3 to a decimal, we need to follow a simple procedure:

Step 1:

Divide 1 by 3 to express 1/3 as a decimal.

Step 2:

Upon dividing 1 by 3, we get the result as 0.3333. This indicates that the quotient of dividing 1 by 3 is 0.3333, which is a non-terminating and recurring decimal.

Therefore, the decimal form of 1/3 is 0.3333.

Practicing Fractions and Decimals

Let’s consider an example to practice converting fractions to decimals:

If Gary ate one piece of a cake that was divided into three parts, he can represent the quantity of cake he had as a decimal by converting the fraction 1/3 into a decimal.


Fractions are used to represent parts of a whole. In this case, ‘one piece out of three’ is denoted as ‘1 out of 3’ or 1/3. By using the long division method, we can convert this fraction into a decimal.

Upon division, we observe that the quotient starts with 0., allowing us to add 0 to 1 to make it divisible by 3. The division process results in a recurring decimal pattern of 0.33…

Therefore, the quantity of cake Gary had can be written as 0.33 or 0.33.

Exploring More Fraction Conversions

If you’re interested in converting other fractions to decimals, you can explore various examples such as determining 1/12 as a decimal fraction. Each fraction can be converted into a decimal using the division method, showcasing the relationship between fractions and decimals.

Decimal and Percentage Equivalents of 1/3:

When determining the decimal value of 1/3, the division process reveals a repeating pattern of 0.3333… This recurring decimal can be represented as 0.33.

Furthermore, converting 1/3 to a percentage involves recognizing that each decimal place represents a fraction of 1/10. Therefore, the percentage equivalent of 1/3 is 33.33%.


In conclusion, understanding how to convert fractions like 1/3 into decimals is crucial for mathematical calculations and real-world applications. By following the division method, we can accurately express fractions as decimals, providing a clear representation of fractional values in decimal form.

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