Question

Which number should be multiplied by $\frac{-3}{5}$ to get $\frac{-1}{5}$ ?

Answer 1

Let x be multiplied by $\frac{-3}{5}$ to get $\frac{-1}{5}$

Then, $x\times \left(-\frac{3}{5}\right)=-\frac{1}{5}$

$\Rightarrow -\frac{3x}{5}=-\frac{1}{5}$

$\Rightarrow \left(-3x\right)\times 5=\left(-1\right)\times 5$

$\Rightarrow -15x=-5$

$x=\frac{1}{3}$ should be multiplied

$\Rightarrow x=\frac{-5}{-15}$

$\Rightarrow x=\frac{1}{3}$