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  2. Cancelling out - Wikipedia

    en.wikipedia.org/wiki/Cancelling_out

    For example, a fraction is put in lowest terms by cancelling out the common factors of the numerator and the denominator. [2] As another example, if a × b = a × c , then the multiplicative term a can be canceled out if a ≠0, resulting in the equivalent expression b = c ; this is equivalent to dividing through by a .

  3. Cross-multiplication - Wikipedia

    en.wikipedia.org/wiki/Cross-multiplication

    are solved using cross-multiplication, since the missing b term is implicitly equal to 1: =. Any equation containing fractions or rational expressions can be simplified by multiplying both sides by the least common denominator. This step is called clearing fractions.

  4. Conversion of units - Wikipedia

    en.wikipedia.org/wiki/Conversion_of_units

    The factor–label method is the sequential application of conversion factors expressed as fractions and arranged so that any dimensional unit appearing in both the numerator and denominator of any of the fractions can be cancelled out until only the desired set of dimensional units is obtained.

  5. Cancellation property - Wikipedia

    en.wikipedia.org/wiki/Cancellation_property

    In mathematics, the notion of cancellativity (or cancellability) is a generalization of the notion of invertibility.. An element a in a magma (M, ∗) has the left cancellation property (or is left-cancellative) if for all b and c in M, a ∗ b = a ∗ c always implies that b = c.

  6. Anomalous cancellation - Wikipedia

    en.wikipedia.org/wiki/Anomalous_cancellation

    The article by Boas analyzes two-digit cases in bases other than base 10, e.g., ⁠ 32 / 13 ⁠ = ⁠ 2 / 1 ⁠ and its inverse are the only solutions in base 4 with two digits. [2]An example of anomalous cancellation with more than two digits is ⁠ 165 / 462 ⁠ = ⁠ 15 / 42 ⁠, and an example with different numbers of digits is ⁠ 98 / 392 ⁠ = ⁠ 8 / 32 ⁠.

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  8. Irreducible fraction - Wikipedia

    en.wikipedia.org/wiki/Irreducible_fraction

    In other words, a fraction ⁠ a / b ⁠ is irreducible if and only if a and b are coprime, that is, if a and b have a greatest common divisor of 1. In higher mathematics, "irreducible fraction" may also refer to rational fractions such that the numerator and the denominator are coprime polynomials. [2]

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