Math Problem Solver

$$\frac{4}{11} - \frac{9}{22} = - \frac{1}{22} = -0.0\overline{45}$$

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of $\frac{4}{11}$ and $\frac{-9}{22}$ is $22$. $$\begin{aligned} \frac{4}{11} - \frac{9}{22} &= \frac{4 \cdot 2}{11 \cdot 2} + \frac{-9 \cdot 1}{22 \cdot 1} \\ &= \frac{8 + -9}{22} \\ &= \frac{-1}{22} \end{aligned}$$