Question

The simplest form of the rational number $-\frac{6}{4}$ is .

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

Answer 1

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

Dividing the numerator and denominator of the rational number $-\frac{6}{4}$ by the HCF of 6 and 4 (which is 2), we get
$\frac{-6}{4}=\frac{-6÷2}{4÷2}=\frac{-3}{2}=-\frac{3}{2}.$
The HCF of 2 and 3 is 1.
Thus, $-\frac{3}{2}$ is the simplest and standard form of the rational number $-\frac{6}{4}.$