(y-1/x)÷(x-1/y)如何计算

问题描述:

(y-1/x)÷(x-1/y)如何计算

(y-1/x)÷(x-1/y)
=(xy-1)/x*y/(xy-1)
=y/x

=[(xy-1)/x]/[(xy-1)/y]=y/x

(y-1/x)÷(x-1/y)=[(yx/x)-1/x]÷[(xy/y)-1/y]
=[(yx-1)/x]÷[(yx-1)/y]
=[(yx-1)/x]*[(y/yx-1)]=y/x

(y-1/x)÷(x-1/y)
=(xy-1)/x÷(xy-1)/y
=y/x

=(xy-1)/x÷(xy-1)/y
=(xy-1)/x×y/(xy-1)
=y/x