Math ↠ Fractional equations ↠ Fractional equation

Fractional equation

Each fractional equation always has one or more break terms with a variable $x$, which occurs in the denominator of at least one of these break terms.

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Hint

Most often, the variable is called $x$ in fractional equations. Note, however, that even equations with other letters can be fractional equations.

Example

  • Fractional equation

    Equations where the variable is in the denominator

    $\frac8x=4$

    $\frac{5x}{3x+15}+2x=10$

    $\frac{25}{4x+2}=\frac{4x}{4x+2}$

  • No fractional equations

    There is no variable in the denominator

    $\frac{1}{5}x+\frac{3}{4}x=8$

    $\frac{2x}{2}=4$

    $\frac{x+10}{4x-8}$ (No equation, only one term)