Question by Lê Quốc Trần Anh - Discuss with MathYouLike

Lê Quốc Trần Anh Coordinator

14/05/2018 at 12:57

Given \(\dfrac{\overline{ab}}{\overline{bc}}=\dfrac{b}{c}\). Prove that: \(\dfrac{a}{b}=\dfrac{b}{c}\left(c\ne0\right)\)

List of answers

Kaya Renger Coordinator 15/05/2018 at 07:38

We have

\(\dfrac{\overline{ab}}{\overline{bc}}=\dfrac{b}{c}\Leftrightarrow\dfrac{10a+b}{10b+c}=\dfrac{b}{c}=\dfrac{10a+b-b}{10b+c-c}=\dfrac{10a}{10b}=\dfrac{a}{b}\)

=> \(\dfrac{a}{b}=\dfrac{b}{c}\)
Lê Quốc Trần Anh selected this answer.

Weekly ranking