Question

By what number should $\frac{12}{35}$ be divided to get $-3?$

Answer 1

Let the number be $x.$

According to question ,

$$\begin{gathered} \frac{12}{35}÷x=-3\Rightarrow \frac{12}{35}\times \frac{1}{x}=-3 \\ \Rightarrow \frac{1}{x}=\frac{-3}{1}÷\frac{12}{35} \\ \Rightarrow \frac{1}{x}=\frac{-3}{1}\times \frac{35}{12} \\ \Rightarrow \frac{1}{x}=\frac{-3\times 35}{1\times 12} \\ \Rightarrow \frac{1}{x}=\frac{-1\times 35}{1\times 4} \\ \Rightarrow \frac{1}{x}=\frac{-35}{4} \\ x=\frac{4}{-35} \\ orx=\frac{-4}{35}. \end{gathered}$$

Hence, the required number is $\frac{-4}{35}.$