# Repeating decimal. 0.01234567901234

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.

• I attempted to clarify what your question is. Check my edit note for more details – HTM Apr 30 '19 at 23:29
• Isn't this a math question? – Tzu Li May 5 '19 at 0:55
• @TzuLi Unless there's a clever or elegant solution with an "aha" moment. – Rand al'Thor May 5 '19 at 13:44

$$\frac{1}{81}$$
in base $$9$$ as $$\frac{1}{100}$$