初一化简分式化简(x-1)/x÷(x-1/x)

问题描述:

初一化简分式
化简(x-1)/x÷(x-1/x)

1 (X不为0)


x-1/x=(x平方-1)/x=(x+1)(x-1)/x
(x-1)/x÷(x-1/x) =(x-1)/x÷=1/(x+1)

(x-1)/x÷(x-1/x)
=(x-1)/x/(x^2-1)*x
=(x-1)/(x^2-1)
=1/(x+1)