Math Problem Solver

\[ 0 + \frac{9}{10} + \frac{8}{100} + \frac{2}{1000} + \frac{1}{10000} + \frac{3}{100000} = \frac{98213}{100000} = 0.98213 \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{0}{1}\), \(\frac{9}{10}\), \(\frac{8}{100}\), \(\frac{2}{1000}\), \(\frac{1}{10000}\), and \(\frac{3}{100000}\) is \(100000\). \[ \begin{aligned} 0 + \frac{9}{10} + \frac{8}{100} + \frac{2}{1000} + \frac{1}{10000} + \frac{3}{100000} &= \frac{0 \cdot 100000}{1 \cdot 100000} + \frac{9 \cdot 10000}{10 \cdot 10000} + \frac{8 \cdot 1000}{100 \cdot 1000} + \frac{2 \cdot 100}{1000 \cdot 100} + \frac{1 \cdot 10}{10000 \cdot 10} + \frac{3 \cdot 1}{100000 \cdot 1} \\ &= \frac{0 + 90000 + 8000 + 200 + 10 + 3}{100000} \\ &= \frac{98213}{100000} \end{aligned} \]