Math Problem Solver

\[ \frac{3}{24} - \frac{9}{69} = - \frac{1}{184} = -0.005\overline{4347826086956521739130} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{3}{24}\) and \(\frac{-9}{69}\) is \(552\). \[ \begin{aligned} \frac{3}{24} - \frac{9}{69} &= \frac{3 \cdot 23}{24 \cdot 23} + \frac{-9 \cdot 8}{69 \cdot 8} \\ &= \frac{69 + -72}{552} \\ &= \frac{-3}{552} \\&= - \frac{1}{184} \end{aligned} \]