Express 2.07070707071... as a rational number, in the form pq where p and q are positive integers with no common factors.

asked Sep 3, 2019 121k views

2 votes

7.7k points

Please log in or register to add a comment.

6 votes

$x=2.070707\ldots=2.\overline{07}$

$100x=207.070707\ldots=207.\overline{07}$

$100x-x=99x=205\implies x=(205)/(99)$

Zelazowy answered Sep 10, 2019

7.2k points

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.1m answers