The product of two rational numbers is -10/9.If one of the number is 5/27,find the other.

product = $-\frac{10}{9}$

other number = ?

$\mathrm{one}\mathrm{number}\times \mathrm{other}\mathrm{number}=-\frac{10}{9}\phantom{\rule{0ex}{0ex}}\Rightarrow \frac{5}{27}\times \mathrm{other}\mathrm{number}=-\frac{10}{9}\phantom{\rule{0ex}{0ex}}\Rightarrow \mathrm{other}\mathrm{number}=-\frac{10}{9}\xf7\frac{5}{27}=-\frac{10}{9}\times \frac{27}{5}=-\frac{270}{45}=-6$

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