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  2. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    The reciprocal of ⁠ 3 / 7 ⁠, for instance, is ⁠ 7 / 3 ⁠. The product of a non-zero fraction and its reciprocal is 1, hence the reciprocal is the multiplicative inverse of a fraction. The reciprocal of a proper fraction is improper, and the reciprocal of an improper fraction not equal to 1 (that is, numerator and denominator are not ...

  3. Irreducible fraction - Wikipedia

    en.wikipedia.org/wiki/Irreducible_fraction

    In the second step, they were divided by 3. The final result, ⁠ 4 / 3 ⁠, is an irreducible fraction because 4 and 3 have no common factors other than 1. The original fraction could have also been reduced in a single step by using the greatest common divisor of 90 and 120, which is 30. As 120 ÷ 30 = 4, and 90 ÷ 30 = 3, one gets

  4. Continued fraction - Wikipedia

    en.wikipedia.org/wiki/Continued_fraction

    A continued fraction is an expression of the form ... ⁠ 2 / 3 ⁠, 7, ⁠ 1 / 2 ... which can be simplified, by folding each pair of fractions into one fraction, to ...

  5. Simpson's rule - Wikipedia

    en.wikipedia.org/wiki/Simpson's_rule

    Composite Simpson's 3/8 rule is even less accurate. Integration by Simpson's 1/3 rule can be represented as a weighted average with 2/3 of the value coming from integration by the trapezoidal rule with step h and 1/3 of the value coming from integration by the rectangle rule with step 2h. The accuracy is governed by the second (2h step) term.

  6. I Ching divination - Wikipedia

    en.wikipedia.org/wiki/I_Ching_divination

    The total of the three passes will be one of just four values: 6 (2+2+2), 7 (2+2+3), 8 (2+3+3), or 9 (3+3+3)—that value is the number of the first line. [1] The forty-nine stalks are then gathered and the entire procedure repeated to generate each of the remaining five lines of the hexagram.

  7. 1/3 - Wikipedia

    en.wikipedia.org/wiki/1/3

    1 ⁄ 3, a fraction of one third, or 0. 3 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

  8. Simplification - Wikipedia

    en.wikipedia.org/wiki/Simplification

    Simplification is the process of replacing a mathematical expression by an equivalent one that is simpler (usually shorter), according to a well-founded ordering. Examples include:

  9. 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.