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  2. 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 ...

  3. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    For example, to change ⁠ 1 / 4 ⁠ to a decimal expression, divide 1 by 4 (" 4 into 1 "), to obtain exactly 0.25. To change ⁠ 1 / 3 ⁠ to a decimal expression, divide 1... by 3 (" 3 into 1... "), and stop when the desired precision is obtained, e.g., at four places after the decimal separator (ten-thousandths) as 0.3333 .

  4. 10 Hard Math Problems That Even the Smartest People in the ...

    www.aol.com/10-hard-math-problems-even-150000090...

    For each s, this function gives an infinite sum, which takes some basic calculus to approach for even the simplest values of s. For example, if s=2, then 𝜁(s) is the well-known series 1 + 1/4 ...

  5. Ratio - Wikipedia

    en.wikipedia.org/wiki/Ratio

    For example, the ratio 4:5 can be written as 1:1.25 (dividing both sides by 4) Alternatively, it can be written as 0.8:1 (dividing both sides by 5). Where the context makes the meaning clear, a ratio in this form is sometimes written without the 1 and the ratio symbol (:), though, mathematically, this makes it a factor or multiplier .

  6. Hilbert's problems - Wikipedia

    en.wikipedia.org/wiki/Hilbert's_problems

    Problems 1, 2, 5, 6, [a] 9, 11, 12, 15, and 22 have solutions that have partial acceptance, but there exists some controversy as to whether they resolve the problems. That leaves 8 (the Riemann hypothesis), 13 and 16 [b] unresolved. Problems 4 and 23 are considered as too vague to ever be described as solved; the withdrawn 24 would also be in ...

  7. Pythagorean triple - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_triple

    Animation demonstrating the smallest Pythagorean triple, 3 2 + 4 2 = 5 2. A Pythagorean triple consists of three positive integers a, b, and c, such that a 2 + b 2 = c 2. Such a triple is commonly written (a, b, c), a well-known example is (3, 4, 5). If (a, b, c) is a Pythagorean triple, then so is (ka, kb, kc) for any positive integer k.

  8. Third grade - Wikipedia

    en.wikipedia.org/wiki/Third_grade

    In Brazil, third grade is the terceiro ano do Ensino Fundamental I, in this case, children begin their first year of elementary school at age 6 or 7 depending on their birthdate. Therefore, the 3rd year of elementary school is typically for students of 8 (96 months)–9 years (108 months) of age.

  9. List of undecidable problems - Wikipedia

    en.wikipedia.org/wiki/List_of_undecidable_problems

    In the ray tracing problem for a 3-dimensional system of reflective or refractive objects, determining if a ray beginning at a given position and direction eventually reaches a certain point. [ 16 ] Determining if a particle path of an ideal fluid on a three dimensional domain eventually reaches a certain region in space.

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