Divisionsregler
Givet att
Divisionsregler | |
\[ \frac{a}{b} \frac{c}{d} =\frac{a}{b}\cdot\frac{c}{d} =\frac{ac}{bd}, \quad b,d \neq 0 \] | \[ a\frac{b}{c} =a \cdot \frac{b}{c} = \frac{a}{1} \cdot \frac{b}{c} = \frac{ab}{c} , \quad c \neq 0 \] |
\[ \frac{-a}{b} = \frac{a}{-b} = -\frac{a}{b} \text{ eller }\frac{-a}{-b} = \frac{a}{b} , \quad b \neq 0 \] | \[ \frac{a}{b} \big/ \frac{c}{d} = \frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a}{b} \cdot \frac{d}{c} =\frac{ad}{bc}, \quad b,c \neq 0 \] |
\[ \frac{a/b}{c} = \frac{\frac{a}{b}}{c} = \frac{a}{b} \cdot \frac{1}{c} = \frac{a}{bc}, \quad b,c \neq 0\] | \[ \frac{a}{b/c} = \frac{a}{\frac{b}{c}} = \frac{a}{1} \cdot \frac{c}{b} = \frac{ac}{b} , \quad b,c \neq 0\] |
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