Math Problem Solver

\[ 0.213 + 0.00213 = \frac{21513}{100000} = 0.21513 \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{213}{1000}\) and \(\frac{213}{100000}\) is \(100000\). \[ \begin{aligned} 0.213 + 0.00213 &= \frac{213 \cdot 100}{1000 \cdot 100} + \frac{213 \cdot 1}{100000 \cdot 1} \\ &= \frac{21300 + 213}{100000} \\ &= \frac{21513}{100000} \end{aligned} \]