Question

Is $\frac{-7}{21}and\frac{3}{9}$represent the same rational number?

Answer 1

Given $\frac{-7}{21}and\frac{3}{9}$

First, we find their standard form and then compare it.

The standard form of $\frac{-7}{21}$is $\frac{-7÷7}{21÷7}=\frac{-1}{3}\{\sin ceHCF(7,21)=7\}$

and the standard form of $\frac{3}{9}$is $\frac{3÷3}{9÷3}=\frac{1}{3}\{\sin ceHCF(3,9)=3\}$

Since, $\frac{-1}{3}\ne \frac{1}{3}$

Hence, $\frac{-7}{21}and\frac{3}{9}$ is not represent the same rational number.