Express the repeating base-10 decimal number $ 0.0123456790123456790... $ as a fraction $ \dfrac{1}{x} $ in any base system up to hexadecimal such that $ x $ has a minimal number of only 0s and 1s.


The fraction is


Which can be expressed

in base $9$ as $\frac{1}{100}$

  • $\begingroup$ Not bad. It's optimal if I'm not mistaken. $\endgroup$ – Arnaud Mortier Apr 30 at 22:37

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.