What should be subtracted from $-\frac{5}{3}$ to get $\frac{5}{6}$?

Mathematical operation with fraction.

Let us consider $x$ being subtracted from $-\frac{5}{3}$ to get $\frac{5}{6}$.

$$\begin{gathered} \therefore -\frac{5}{3}-x=\frac{5}{6} \\ \Rightarrow -x=\frac{5}{6}+\frac{5}{3} \\ \Rightarrow -x=\frac{5+10}{6} \\ \Rightarrow x=-\frac{15}{6} \\ \Rightarrow x=-\frac{5}{2} \end{gathered}$$

Hence, $-\frac{5}{2}$ should be subtracted from $-\frac{5}{3}$ to get $\frac{5}{6}$.