The setup to this question is very simple: Take the numbers $\frac{1}{1}, \frac{21}{12}, \frac{321}{123},...,\frac{987654321}{123456789}$ and plot them versus the natural numbers, as seen here: https://i.stack.imgur.com/psgiz.png.
Now, seeing that this follows a linear path, and that adding more numerals seems to increase the value of the fraction by about $0.9$, the obvious next step is to ask whether this line continues for new numeral symbols. Imagine the letter $A$ was a transdecimal character for $10$, so that we've extended the common decimal number system to an undecimal system. Then we might postulate that $\frac{A987654321}{123456789A}$ is approximately $8.9$, if we follow the line of best fit. But is there a way to actually find this exact value?
Apparently you're taking $$f(n) = \dfrac{\sum_{j=1}^n j\cdot 10^{j-1}}{\sum_{j=1}^n j\cdot 10^{n-j}}$$ Then $$ f(n) = \dfrac{(9n-1) \cdot 10^n + 1}{10^{n+1} - 9 n - 10} $$ In particular $$ f(10) = \frac{10987654321}{1234567900} = 8.90000000891000000891\ldots$$