合并-2/3 p+1/5-1+5/6 p

解答

合并

- \frac{2}{3} p + \frac{1}{5} - 1 + \frac{5}{6} p

\frac{5 p - 24}{30}

求解步骤

- \frac{2}{3} p + \frac{1}{5} - 1 + \frac{5}{6} p

因式分解出通项

p

= p (- \frac{2}{3} + \frac{5}{6}) + \frac{1}{5} - 1

- \frac{2}{3} + \frac{5}{6} = \frac{1}{6}

= p \frac{1}{6} + \frac{1}{5} - 1

合并

p \frac{1}{6} + \frac{1}{5} - 1 : \frac{\frac{1}{6} p \cdot 6 - 6}{6} + \frac{1}{5}

= \frac{\frac{1}{6} p \cdot 6 - 6}{6} + \frac{1}{5}

交叉约去公约数:

6

= \frac{p - 6}{6} + \frac{1}{5}

合并

\frac{p - 6}{6} + \frac{1}{5} : \frac{5 p - 24}{30}

= \frac{5 p - 24}{30}

s im pl i f y - \frac{19}{7}

so l v e f or w, \frac{1}{3} w + \frac{5}{6} w - 2 = - w

s im pl i f y \frac{18}{16}

so l v e f or g, \frac{2}{3} g + \frac{1}{2} g = 14

so l v e f or x, 3 x^{2} - 2 x = 8