展开 4/16 x+5/16 y+3/16 z+4/16 u

解答

展开

\frac{4}{16} x + \frac{5}{16} y + \frac{3}{16} z + \frac{4}{16} u

\frac{x}{4} + \frac{u}{4} + \frac{5 y}{16} + \frac{3 z}{16}

求解步骤

\frac{4}{16} x + \frac{5}{16} y + \frac{3}{16} z + \frac{4}{16} u

\frac{4}{16} x = \frac{x}{4}

\frac{5}{16} y = \frac{5 y}{16}

\frac{3}{16} z = \frac{3 z}{16}

\frac{4}{16} u = \frac{u}{4}

= \frac{x}{4} + \frac{5 y}{16} + \frac{3 z}{16} + \frac{u}{4}

合并分式

\frac{5 y}{16} + \frac{3 z}{16} : \frac{5 y + 3 z}{16}

= \frac{x}{4} + \frac{5 y + 3 z}{16} + \frac{u}{4}

合并分式

\frac{x}{4} + \frac{u}{4} : \frac{x + u}{4}

= \frac{x + u}{4} + \frac{5 y + 3 z}{16}

使用分式法则:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{x + u}{4} = \frac{x}{4} + \frac{u}{4}

= \frac{x}{4} + \frac{u}{4} + \frac{5 y + 3 z}{16}

使用分式法则:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{5 y + 3 z}{16} = \frac{5 y}{16} + \frac{3 z}{16}

= \frac{x}{4} + \frac{u}{4} + \frac{5 y}{16} + \frac{3 z}{16}

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