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  2. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    A simple fraction (also known as a common fraction or vulgar fraction, where vulgar is Latin for "common") is a rational number written as a / b or ⁠ ⁠, where a and b are both integers. [9] As with other fractions, the denominator (b) cannot be zero. Examples include ⁠ 1 2 ⁠, − ⁠ 8 5 ⁠, ⁠ −8 5 ⁠, and ⁠ 8 −5 ⁠.

  3. Irreducible fraction - Wikipedia

    en.wikipedia.org/wiki/Irreducible_fraction

    For example, ⁠ 1 / 4 ⁠, ⁠ 5 / 6 ⁠, and ⁠ −101 / 100 ⁠ are all irreducible fractions. On the other hand, ⁠ 2 / 4 ⁠ is reducible since it is equal in value to ⁠ 1 / 2 ⁠, and the numerator of ⁠ 1 / 2 ⁠ is less than the numerator of ⁠ 2 / 4 ⁠. A fraction that is reducible can be reduced by dividing both the numerator ...

  4. Continued fraction - Wikipedia

    en.wikipedia.org/wiki/Continued_fraction

    A finite regular continued fraction, where is a non-negative integer, is an integer, and is a positive integer, for . A continued fraction is a mathematical expression that can be writen as a fraction with a denominator that is a sum that contains another simple or continued fraction. Depending on whether this iteration terminates with a simple ...

  5. 1/3 - Wikipedia

    en.wikipedia.org/wiki/1/3

    1⁄3, a fraction of one third, or 0.333333333... in decimal. pre-decimal British sterling currency of 1 shilling and 3 pence. 1st Battalion, 3rd Marines, United States infantry battalion. One/Three, a 20. Loona 1/3, a Loona spin-off.

  6. List of trigonometric identities - Wikipedia

    en.wikipedia.org/wiki/List_of_trigonometric...

    These identities are useful whenever expressions involving trigonometric functions need to be simplified. An important application is the integration of non-trigonometric functions: a common technique involves first using the substitution rule with a trigonometric function, and then simplifying the resulting integral with a trigonometric identity.

  7. Monty Hall problem - Wikipedia

    en.wikipedia.org/wiki/Monty_Hall_problem

    These are the only cases where the host opens door 3, so the conditional probability of winning by switching given the host opens door 3 is ⁠ 1/3 / 1/3 + q/3 ⁠ which simplifies to ⁠ 1 / 1 + q ⁠. Since q can vary between 0 and 1 this conditional probability can vary between ⁠ 1 / 2 ⁠ and 1. This means even without constraining the ...

  8. Fibonacci sequence - Wikipedia

    en.wikipedia.org/wiki/Fibonacci_sequence

    Fibonacci sequence. In mathematics, the Fibonacci sequence is a sequence in which each number is the sum of the two preceding ones. Numbers that are part of the Fibonacci sequence are known as Fibonacci numbers, commonly denoted Fn . Many writers begin the sequence with 0 and 1, although some authors start it from 1 and 1 [1][2] and some (as ...

  9. Simple English Wikipedia - Wikipedia

    en.wikipedia.org/wiki/Simple_English_Wikipedia

    Launched. September 18, 2001 [1] The Simple English Wikipedia is a modified English-language edition of Wikipedia written primarily in Basic English and Learning English. [2] It is one of seven Wikipedias written in an Anglic language or English-based pidgin or creole. The site has the stated aim of providing an encyclopedia for "people with ...