Question

What should be subtracted from $\frac{1}{10}$ to get $-5$?

Answer 1

Let $x$ should be subtracted from $\frac{1}{10}$ to get $-5.$

According to question,

$$\begin{gathered} \Rightarrow \frac{1}{10}-x=-5 \\ \Rightarrow -x=\frac{-5}{1}-\frac{1}{10} \\ \Rightarrow -x=\frac{-5\times 10}{1\times 10}-\frac{1}{10} \\ \Rightarrow -x=\frac{-50}{10}-\frac{1}{10} \\ \Rightarrow -x=\frac{-50-1}{10} \\ \Rightarrow -x=\frac{-51}{10} \\ or,x=\frac{51}{10}(\mathrm{Multiplying}\mathrm{by}-1\mathrm{both}\mathrm{sides}) \end{gathered}$$

Hence , $\frac{51}{10}$ should be subtracted from $\frac{1}{10}$ to get $-5.$