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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. Percentage - Wikipedia

    en.wikipedia.org/wiki/Percentage

    In general, if an increase of x percent is followed by a decrease of x percent, and the initial amount was p, the final amount is p (1 + 0.01 x)(1 − 0.01 x) = p (1 − (0.01 x) 2); hence the net change is an overall decrease by x percent of x percent (the square of the original percent change when expressed as a decimal number).

  4. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    6 1 2 1 11 4 5 9. and would be written in modern notation as 61 / 4 ⁠, 11 / 5 ⁠, and 2 − ⁠ 1 / 9 ⁠ (i.e., 1 ⁠ 8 / 9 ⁠). The horizontal fraction bar is first attested in the work of Al-Hassār (fl. 1200), [35] a Muslim mathematician from Fez, Morocco, who specialized in Islamic inheritance jurisprudence.

  5. Continued fraction - Wikipedia

    en.wikipedia.org/wiki/Continued_fraction

    A continued fraction is an expression of the form ... which can be simplified by noting that ⁠ 5 / 10 ... (100 1/5 or 5100 ≈ 2.511886 ...

  6. Percent sign - Wikipedia

    en.wikipedia.org/wiki/Percent_sign

    English style guides prescribe writing the percent sign following the number without any space between (e.g. 50%). [sources 1] However, the International System of Units and ISO 31-0 standard prescribe a space between the number and percent sign, [8] [9] [10] in line with the general practice of using a non-breaking space between a numerical value and its corresponding unit of measurement.

  7. Number Forms - Wikipedia

    en.wikipedia.org/wiki/Number_Forms

    15: 0.2 Vulgar Fraction One Fifth 2155 8533 ⅖ 2 ⁄ 5: 0.4 Vulgar Fraction Two Fifths 2156 8534 ⅗ 3 ⁄ 5: 0.6 Vulgar Fraction Three Fifths 2157 8535 ⅘ 45: 0.8 Vulgar Fraction Four Fifths 2158 8536 ⅙ 16: 0.166... Vulgar Fraction One Sixth 2159 8537 ⅚ 56: 0.833... Vulgar Fraction Five Sixths 215A 8538 ⅛ 1 ⁄ 8: 0 ...

  8. Expression (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Expression_(mathematics)

    An expression is often used to define a function, by taking the variables to be arguments, or inputs, of the function, and assigning the output to be the evaluation of the resulting expression. [5] For example, x ↦ x 2 + 1 {\displaystyle x\mapsto x^{2}+1} and f ( x ) = x 2 + 1 {\displaystyle f(x)=x^{2}+1} define the function that associates ...

  9. Exponentiation - Wikipedia

    en.wikipedia.org/wiki/Exponentiation

    If exponentiation is considered as a multivalued function then the possible values of (−1 ⋅ −1) 1/2 are {1, −1}. The identity holds, but saying {1} = {(−1 ⋅ −1) 1/2 } is incorrect. The identity ( e x ) y = e xy holds for real numbers x and y , but assuming its truth for complex numbers leads to the following paradox , discovered ...