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  2. Egyptian fraction - Wikipedia

    en.wikipedia.org/wiki/Egyptian_fraction

    The Rhind Mathematical Papyrus. An Egyptian fraction is a finite sum of distinct unit fractions, such as That is, each fraction in the expression has a numerator equal to 1 and a denominator that is a positive integer, and all the denominators differ from each other. The value of an expression of this type is a positive rational number ; for ...

  3. Article Five of the United States Constitution - Wikipedia

    en.wikipedia.org/wiki/Article_Five_of_the_United...

    The first method authorizes Congress, "whenever two-thirds of both houses shall deem it necessary", [a] to propose constitutional amendments. The second method requires Congress, "on the application of the legislatures of two-thirds of the several states" (34 as of 1959), to "call a convention for proposing amendments". [6]

  4. Cross-multiplication - Wikipedia

    en.wikipedia.org/wiki/Cross-multiplication

    Cross-multiplication. In mathematics, specifically in elementary arithmetic and elementary algebra, given an equation between two fractions or rational expressions, one can cross-multiply to simplify the equation or determine the value of a variable. The method is also occasionally known as the "cross your heart" method because lines resembling ...

  5. Ancient Egyptian multiplication - Wikipedia

    en.wikipedia.org/wiki/Ancient_Egyptian...

    In mathematics, ancient Egyptian multiplication (also known as Egyptian multiplication, Ethiopian multiplication, Russian multiplication, or peasant multiplication), one of two multiplication methods used by scribes, is a systematic method for multiplying two numbers that does not require the multiplication table, only the ability to multiply and divide by 2, and to add.

  6. 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 ⁠.

  7. Fibonacci sequence - Wikipedia

    en.wikipedia.org/wiki/Fibonacci_sequence

    With the exceptions of 1, 8 and 144 (F 1 = F 2, F 6 and F 12) every Fibonacci number has a prime factor that is not a factor of any smaller Fibonacci number (Carmichael's theorem). [56] As a result, 8 and 144 ( F 6 and F 12 ) are the only Fibonacci numbers that are the product of other Fibonacci numbers.

  8. List of amendments to the Constitution of the United States

    en.wikipedia.org/wiki/List_of_amendments_to_the...

    A national convention, called by Congress for this purpose, on the application of the legislatures of two-thirds of the states (34 since 1959). [ 2 ] [ 3 ] This option has never been used. To become part of the Constitution, an amendment must be ratified by three-fourths of the states (38 since 1959) by either (as determined by Congress):

  9. Eratosthenes - Wikipedia

    en.wikipedia.org/wiki/Eratosthenes

    However, a simplified version of the method has been preserved, as described by Cleomedes. [15] The simplified method works by considering two cities along the same meridian and measuring both the distance between them and the difference in angles of the shadows cast by the sun on a vertical rod (a gnomon) in each city at noon on the summer ...