Question

Does the following pair represents the same rational number:
$\frac{-7}{21}$ and $\frac{3}{9}$

Answer 1

The given rational numbers are $\frac{-7}{21}$ and $\frac{3}{9}$

Now,

$\frac{-7}{21}=\frac{-7÷7}{21÷7}=-\frac{1}{3}$

and,

$\frac{3}{9}=\frac{3÷3}{9÷3}=\frac{1}{3}$

Since, the numbers have different sign, they are not same.