Question

If $(-7{)}^{-1}$ is multiplied by a number, the product obtained is ${\left(\frac{6}{7}\right)}^{-1}$. What is the number?

Answer 1

Let the number be $x$

Then ${\left(-7\right)}^{-1}\times x={\left(\frac{6}{7}\right)}^{-1}$

$\Rightarrow -\frac{1}{7}\times x=\frac{7}{6}$

$\Rightarrow x=\frac{7}{6}\times -7$

$\Rightarrow x=-\frac{49}{6}$