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  2. 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.

  3. Division by zero - Wikipedia

    en.wikipedia.org/wiki/Division_by_zero

    However, the resulting mathematical structure is no longer a commutative ring, as multiplication no longer distributes over addition. Furthermore, in a wheel, division of an element by itself no longer results in the multiplicative identity element 1 {\displaystyle 1} , and if the original system was an integral domain , the multiplication in ...

  4. Symbolab - Wikipedia

    en.wikipedia.org/wiki/Symbolab

    Symbolab is an answer engine [1] that provides step-by-step solutions to mathematical problems in a range of subjects. [2] It was originally developed by Israeli start-up company EqsQuest Ltd., under whom it was released for public use in 2011.

  5. Irreducible fraction - Wikipedia

    en.wikipedia.org/wiki/Irreducible_fraction

    Two fractions ⁠ a / b ⁠ and ⁠ c / d ⁠ are equal or equivalent if and only if ad = bc.) 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 ...

  6. 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:

  7. Order of operations - Wikipedia

    en.wikipedia.org/wiki/Order_of_operations

    [6] [7] [a] The parentheses can be omitted if the input is a single numerical variable or constant, [2] as in the case of sin x = sin(x) and sin π = sin(π). [a] Traditionally this convention extends to monomials; thus, sin 3x = sin(3x) and even sin ⁠ 1 / 2 ⁠ xy = sin(xy/2), but sin x + y = sin(x) + y, because x + y is not a monomial ...

  8. AOL Reviewed: Drew Barrymore’s grind-and-brew coffee maker is ...

    www.aol.com/lifestyle/drew-barrymore-coffee...

    It’s particularly slim at just under 6 inches wide, making it easy to find space for on a countertop. However, the water tank doesn’t skimp on size; it can hold up to 64 ounces at a time.

  9. 6/8 - Wikipedia

    en.wikipedia.org/wiki/6/8

    6/8 may refer to: A fraction equivalent to 3 ⁄ 4 or 0.75. June 8 (month-day date notation) 6 August (day-month date notation) 6 8, a time signature used in Western musical notation; 6 shillings and 8 (old) pence in UK pre-decimal currency = 80d or 1 ⁄ 3 of a pound sterling