Math Problem Solver

$$\frac{17}{30} - \frac{5}{9} = \frac{1}{90} = 0.0\overline{1}$$

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of $\frac{17}{30}$ and $\frac{-5}{9}$ is $90$. $$\begin{aligned} \frac{17}{30} - \frac{5}{9} &= \frac{17 \cdot 3}{30 \cdot 3} + \frac{-5 \cdot 10}{9 \cdot 10} \\ &= \frac{51 + -50}{90} \\ &= \frac{1}{90} \end{aligned}$$