Answered

IDNLearn.com offers expert insights and community wisdom to answer your queries. Our experts provide timely and precise responses to help you understand and solve any issue you face.

Rewrite as a simplified fraction 2.16 <-- repeating =?

Sagot :

[tex]x=2.161616...=2.\overline{16}=2.(16)\\\\x=2.161616....\ \ \ \ |multiply\ both\ sides\ by\ 100\\100x=216.161616...\\\\100x-x=216.161616...-2.161616...\\99x=214\ \ \ \ |divide\ both\ sides\ by\ 99\\\\x=\frac{214}{99}\\\\x=\frac{198+16}{99}\\\\x=\frac{198}{99}+\frac{16}{99}\\\\\boxed{x=2\frac{16}{99}}[/tex]
Thank you for contributing to our discussion. Don't forget to check back for new answers. Keep asking, answering, and sharing useful information. Find the answers you need at IDNLearn.com. Thanks for stopping by, and come back soon for more valuable insights.