Math Problem Solver

$$\frac{7}{9} - 19 = - \frac{164}{9} = -18.\overline{2}$$

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of $\frac{7}{9}$ and $\frac{-19}{1}$ is $9$. $$\begin{aligned} \frac{7}{9} - 19 &= \frac{7 \cdot 1}{9 \cdot 1} + \frac{-19 \cdot 9}{1 \cdot 9} \\ &= \frac{7 + -171}{9} \\ &= \frac{-164}{9} \end{aligned}$$