Question

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

Answer 1

one number = $\frac{5}{27}$

product = $-\frac{10}{9}$
other number = ?

$$\begin{gathered} \mathrm{one}\mathrm{number}\times \mathrm{other}\mathrm{number}=-\frac{10}{9} \\ \Rightarrow \frac{5}{27}\times \mathrm{other}\mathrm{number}=-\frac{10}{9} \\ \Rightarrow \mathrm{other}\mathrm{number}=-\frac{10}{9}÷\frac{5}{27}=-\frac{10}{9}\times \frac{27}{5}=-\frac{270}{45}=-6 \end{gathered}$$