Math Problem Solver

\[ .04 - \frac{2}{3} = - \frac{47}{75} = -0.62\overline{6} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{4}{100}\) and \(\frac{-2}{3}\) is \(300\). \[ \begin{aligned} .04 - \frac{2}{3} &= \frac{4 \cdot 3}{100 \cdot 3} + \frac{-2 \cdot 100}{3 \cdot 100} \\ &= \frac{12 + -200}{300} \\ &= \frac{-188}{300} \\&= - \frac{47}{75} \end{aligned} \]