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  2. Irreducible fraction - Wikipedia

    en.wikipedia.org/wiki/Irreducible_fraction

    In the first step both numbers were divided by 10, which is a factor common to both 120 and 90. 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.

  3. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    A simple fraction (also known as a common fraction or vulgar fraction) [n 1] 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 ⁠.

  4. Golden ratio - Wikipedia

    en.wikipedia.org/wiki/Golden_ratio

    To say that the golden ratio ⁠ ⁠ is rational means that ⁠ ⁠ is a fraction ⁠ / ⁠ where ⁠ ⁠ and ⁠ ⁠ are integers. We may take ⁠ n / m {\displaystyle n/m} ⁠ to be in lowest terms and ⁠ n {\displaystyle n} ⁠ and ⁠ m {\displaystyle m} ⁠ to be positive.

  5. 41 (number) - Wikipedia

    en.wikipedia.org/wiki/41_(number)

    41 is: the 13th smallest prime number. The next is 43, making both twin primes. the sum of the first six prime numbers (2 + 3 + 5 + 7 + 11 + 13). the 12th supersingular prime [1] a Newman–Shanks–Williams prime. [2] the smallest Sophie Germain prime to start a Cunningham chain of the first kind of three terms, {41, 83, 167}.

  6. Continued fraction - Wikipedia

    en.wikipedia.org/wiki/Continued_fraction

    A continued fraction is a mathematical expression that can be written 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 fraction or not, the continued fraction is finite or infinite .

  7. Clearing denominators - Wikipedia

    en.wikipedia.org/wiki/Clearing_denominators

    The simplified equation is not entirely equivalent to the original. For when we substitute y = 0 and z = 0 in the last equation, both sides simplify to 0, so we get 0 = 0 , a mathematical truth. But the same substitution applied to the original equation results in x /6 + 0/0 = 1 , which is mathematically meaningless .

  8. 'Sleepwalking into nuclear disaster': The 'Doomsday Clock ...

    www.aol.com/doomsday-clock-reset-comes-tuesday...

    The metaphorical clock measures how close humanity is to self-destruction, because of nuclear disaster, climate change, AI and misinformation.

  9. Simple continued fraction - Wikipedia

    en.wikipedia.org/wiki/Simple_continued_fraction

    A simple or regular continued fraction is a continued fraction with numerators all equal one, ... Simplified Reciprocal of f; 1 = ... 41: 56: x 0 = 1 = ⁠ 1 / 1 ...