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(1+x)·7分之6=9分之8x

1十X=8/9xX7/6 1十x=28/27x 27十27x=28x x=27

8/9x=6/7x+6/7x^2 (6/7-8/9)x+6/7x^2=0 6/7x^2-2/63x=0 x(6/7x-2/63)=0 x=0或者6/7x-2/63=0即x=1/27

6/7x+6/7=8/9x 8/9x-6/7x=6/7 2/63x=6/7 x=6/7×63/2 x=27

x/(x-2)+(x-9)/(x-7)=(x+1)/(x-1)+(x-8)/(x-6) (x-2+2)/(x-2)+(x-7-2)/(x-7)=(x-1+2)/(x-1)+(x-6-2)/(x-6) 1+2/(x-2)+1-2/(x-7)=1+2/(x-1)+1-2/(x-6) 1/(x-2)+1-1/(x-7)=1/(x-1)-1/(x-6) [x-7-(x-2)]/[(x-1)(x-2)]=[x-6-(x-1)][(x-6)(x-7)] -5/[...

解方程

7/9-(x-1/6)=1/3 x-1/6=4/9 x=4/9+1/6=(8+3)/17=11/17

九分之7-括号x-6分之一括回=3分之一 x-1/6=7/9-1/3 x-1/6=4/9 x=4/9+1/6 x=8/18+3/18 x=11/18

最基本的方法是通分,将各分数的分母变成它们的最小公倍数:6、7、8、9的最小公倍数是7*8*9=504,于是,1/6=84/504,1/7=72/504,1/8=63/504,1/9=56/504,它们相加=275/504 。

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