Question

Is $\frac{-5}{-9}and\frac{5}{-9}$represent the same rational number?

Answer 1

Given,$\frac{-5}{-9}and\frac{5}{-9}$

Since the first rational number$\frac{-5}{-9}$ is equivalent to $\frac{-5÷(-1)}{-9÷(-1)}=\frac{5}{9}$

And another rational number is $\frac{5}{-9}=\frac{5\times (-1)}{-9\times (-1)}=\frac{-5}{9}$

Here,$\frac{-5}{-9}$ is a positive rational number and$\frac{-5}{9}$ is a negative rational number.

Therefore, $\frac{-5}{-9}\ne \frac{-5}{9}$

Hence, $\frac{-5}{-9}and\frac{5}{-9}$ is not represent the same rational number.