onesixth

One sixth, written as 1/6, is a rational number that represents one part of a whole divided into six equal parts. It is a unit fraction, with numerator 1 and denominator 6, and is the simplest form of the fraction.

As a decimal, one sixth equals 0.1666... with the digit 6 repeating indefinitely. In percent form it is 16.666...%, often described as 16 2/3 percent. The reciprocal of one sixth is six, since (1/6) × 6 = 1. Any fraction equivalent to one sixth, such as 2/12 or 3/18, represents the same value.

One sixth is used to describe portions, probabilities, and ratios. For example, in a fair six-sided die, the probability of rolling a given face is 1/6. It also appears in measurements and recipes, where a quantity may be divided into six equal parts, or in geometry, where a circle can be partitioned into six equal sectors of 60 degrees each.

In algebra and number theory, one sixth is a simple example of a rational number and a common unit fraction. It is related to the base-ten representation through its repeating decimal and can be converted to other forms (fractions, decimals, or percentages) depending on context. See also unit fractions, fractions, and rational numbers.