Math Problem Solver

\[ \frac{-1}{46} - \frac{1}{66} = - \frac{28}{759} = -0.\overline{0368906455862977602108} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{-1}{46}\) and \(\frac{-1}{66}\) is \(1518\). \[ \begin{aligned} \frac{-1}{46} - \frac{1}{66} &= \frac{-1 \cdot 33}{46 \cdot 33} + \frac{-1 \cdot 23}{66 \cdot 23} \\ &= \frac{-33 + -23}{1518} \\ &= \frac{-56}{1518} \\&= - \frac{28}{759} \end{aligned} \]