Question

Find the rational number which is not equal to $\frac{2}{3}$

• A. $\frac{-2}{-3}$
• B. $\frac{-4}{+6}$
• C. $\frac{8}{12}$
• D. $\frac{6}{9}$

Answer 1

The correct option is B $\frac{-4}{+6}$

We are given the rational number $\frac{2}{3}$. We want to find a rational number, out of the given options, that is not equal to $\frac{2}{3}$.

i) $\frac{-2}{-3}$ = $\frac{2}{3}$ , after cancelling the $-$ signs

ii) $\frac{-4}{6}=\frac{-2}{3}\ne \frac{2}{3}$ , after dividing the numerator and denominator by $2$

iii) $\frac{8}{12}=\frac{2}{3}$ , after dividing the numerator and denominator by $4$

iv) $\frac{6}{9}=\frac{2}{3}$ , after dividing the numerator and denominator by $3$.

Thus, the correct answer is Option $B$