Bruchterm vereinfachen [(u/v)-1] / [1-(1/v)]

Question

[(u/v)-1]/[1-(1/v)] vereinfachen bitte

Answer 1

(u/v - 1)/(1 - 1/v)

= (u/v - v/v)/(v/v - 1/v)

= ((u - v)/v)/((v - 1)/v)

= ((u - v)/v)*(v/(v - 1))

= (u - v)/(v - 1)

Answer 2

[(u/v)-1]/[1-(1/v)] = [(u-v)/v] / [(v-1)/v] = (u-v)/v * v/(v-1) = (u-v)/(v-1)

Grüße