One Out of Three vs. One Third

Attribute	One Out of Three	One Third
Definition	Choosing one item out of a group of three	Dividing something into three equal parts
Fraction Representation	1/3	1/3
Mathematical Operation	Selection	Division
Probability	1/3	33.33%

Definition

One out of three and one third are both fractions that represent a portion of a whole. One out of three is written as 1/3, while one third is also written as 1/3. They both indicate that something has been divided into three equal parts, and the fraction represents one of those parts.

Mathematical Representation

In terms of mathematical representation, both one out of three and one third are equivalent fractions. They both represent the same value of one part out of three equal parts. This means that whether you say one out of three or one third, you are referring to the same fraction, which is 1/3.

Usage

One out of three is a more colloquial way of expressing the fraction 1/3. It is often used in everyday language to describe a situation where something is divided into three parts, and one part is being referred to. On the other hand, one third is the more formal and mathematical way of stating the same fraction. It is commonly used in academic and technical contexts where precision is important.

Visual Representation

When visually representing one out of three and one third, they both look the same on paper. The fraction 1/3 is written the same way regardless of whether you say one out of three or one third. It is a horizontal line with the number 1 above it and the number 3 below it, indicating that one part is being represented out of a total of three equal parts.

Equivalent Fractions

One out of three and one third are equivalent fractions, meaning they represent the same value. In mathematical terms, equivalent fractions are fractions that have the same overall value, even though they may look different. For example, 2/6 is equivalent to 1/3 because they both represent one part out of three equal parts.

Common Usage

One out of three is a phrase that is commonly used in everyday conversations to describe a situation where one part is being referred to out of a total of three parts. It is a simple and easy way to express the fraction 1/3 without using formal mathematical language. On the other hand, one third is more commonly used in academic and technical contexts where precision and accuracy are important.

Decimal Representation

When converting one out of three and one third into decimal form, they both result in the same value. The fraction 1/3 is equal to 0.33333 when expressed as a decimal. This means that whether you say one out of three or one third, you are still referring to the same numerical value.

Fractional Operations

When performing operations with fractions, such as addition, subtraction, multiplication, or division, one out of three and one third can be used interchangeably. Since they represent the same value of 1/3, they can be added, subtracted, multiplied, or divided with other fractions or whole numbers without any difference in the result.

Conclusion

In conclusion, one out of three and one third are two different ways of expressing the same fraction, which is 1/3. They both represent one part out of three equal parts, and can be used interchangeably in most situations. Whether you choose to say one out of three or one third, you are still referring to the same mathematical value, and both terms are valid in their respective contexts.