Question

What should be subtracted from $-\frac{4}{9}$ to get $\frac{5}{12}$?

Answer 1

Mathematical operation with fraction.

Let us consider $x$ being subtracted from $-\frac{4}{9}$ to get $\frac{5}{12}$.

$$\begin{gathered} \therefore -\frac{4}{9}-x=\frac{5}{12} \\ \Rightarrow -x=\frac{5}{12}+\frac{4}{9} \\ \Rightarrow -x=\frac{15+16}{36} \\ \Rightarrow x=-\frac{31}{36} \end{gathered}$$

Hence, $-\frac{31}{36}$ should be subtracted from $-\frac{4}{9}$ to get $\frac{5}{12}$.