Question

Express the rational number $\frac{14}{-21}$ in standard form

Answer 1

The given rational number is $\frac{14}{-21}$

1. Its denominator is negative. Multiply both the numerator and denominator by $-1$ to change it to positive, i.e.,$\frac{14}{-21}=\frac{14\times (-1)}{(-21)\times (-1)}=\frac{-14}{21}$
2. The greatest common divisor of $14$ nad $21$ is $7$. Dividing both numerator and denominator by $7$, we have $\frac{-14}{21}=\frac{(-14)/7}{21/7}=\frac{-2}{3}$

Which is the required answer.