Question

Is $\frac{-16}{20}and\frac{20}{-25}$represent the same rational number?

Answer 1

Given $\frac{-16}{20}and\frac{20}{-25}$

First, we find their standard forms and then compare them.

The standard form of a rational number$\frac{-16}{20}$ is $\frac{-16÷4}{20÷4}=\frac{-4}{5}\{\sin ceHCF(16,20)=4\}$

And the standard form of a rational number $\frac{20}{-25}$is$\frac{20÷(-5)}{-25÷(-5)}=\frac{-4}{5}\{\sin ceHCF(20,25)=5\}$

since $\frac{-4}{5}=\frac{-4}{5}$

Therefore, their standard forms are the same, which means they are equivalent.

Hence,$\frac{-16}{20}and\frac{20}{-25}$ represents the same rational number.