Question

The simplest form of the rational number $-\frac{18}{12}$ is .

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

Answer 1

The correct option is A $-\frac{3}{2}$

Dividing the numerator and denominator of the rational number $-\frac{18}{12}$ by the HCF of 12 and 18 (which is 6), we get
$\frac{-18}{12}=\frac{-18÷6}{12÷6}=\frac{-3}{2}=-\frac{3}{2}.$
The HCF of 2 and 3 is 1.
Thus, $-\frac{3}{2}$ is the simplest and standard form of the rational number $-\frac{18}{12}.$