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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

    Irreducible fraction. An irreducible fraction (or fraction in lowest terms, simplest form or reduced fraction) is a fraction in which the numerator and denominator are integers that have no other common divisors than 1 (and −1, when negative numbers are considered). [1] In other words, a fraction ⁠a b⁠ is irreducible if and only if a and ...

  4. Twelfth Amendment to the United States Constitution

    en.wikipedia.org/wiki/Twelfth_Amendment_to_the...

    The Twelfth Amendment (Amendment XII) to the United States Constitution provides the procedure for electing the president and vice president. It replaced the procedure in Article II, Section 1, Clause 3, under which the Electoral College originally functioned. The amendment was proposed by Congress on December 9, 1803, and was ratified by the ...

  5. Proof that 22/7 exceeds π - Wikipedia

    en.wikipedia.org/wiki/Proof_that_22/7_exceeds_π

    The purpose of the proof is not primarily to convince its readers that ⁠ 22 7 ⁠ (or ⁠3 1 7 ⁠) is indeed bigger than π; systematic methods of computing the value of π exist. If one knows that π is approximately 3.14159, then it trivially follows that π < ⁠ 22 7 ⁠, which is approximately 3.142857. But it takes much less work to ...

  6. 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 ...

  7. Rule of twelfths - Wikipedia

    en.wikipedia.org/wiki/Rule_of_twelfths

    Rule of twelfths. The rule of twelfths is an approximation to a sine curve. It can be used as a rule of thumb for estimating a changing quantity where both the quantity and the steps are easily divisible by 12. Typical uses are predicting the height of the tide or the change in day length over the seasons.

  8. Doomsday rule - Wikipedia

    en.wikipedia.org/wiki/Doomsday_rule

    The Doomsday rule, Doomsday algorithm or Doomsday method is an algorithm of determination of the day of the week for a given date. It provides a perpetual calendar because the Gregorian calendar moves in cycles of 400 years. The algorithm for mental calculation was devised by John Conway in 1973, [1][2] drawing inspiration from Lewis Carroll 's ...

  9. Article Seven of the United States Constitution - Wikipedia

    en.wikipedia.org/wiki/Article_Seven_of_the...

    Delaware – December 7, 1787 30 0 100% 2 Pennsylvania – December 12, 1787 46 23 67% 3 New Jersey – December 18, 1787 38 0 100% 4 Georgia – January 2, 1788 26 0 100% 5 Connecticut – January 9, 1788 128 40 76% 6 Massachusetts – February 6, 1788 187 168 53% 7 Maryland – April 28, 1788 63 11 85% 8 South Carolina – May 23, 1788