Question

The standard form of the rational number $\frac{33}{-44}$ is

• A. $\frac{3}{4}$
• B. $\frac{-3}{4}$
• C. $\frac{1}{4}$
• D. $\frac{-1}{4}$

Answer 1

The correct option is B $\frac{-3}{4}$

$\frac{33}{-44}=\frac{33\times (-1)}{(-44)\times (-1)}=\frac{-33}{44}$
The greatest common divisor of 33 and 44 is 11.
Now, dividing the numerator and denominator of $\frac{-33}{44}$ by 11, we get
$\frac{-33}{44}=\frac{(-33)÷11}{\left(44\right)÷11}=\frac{-3}{4}$
Hence the standard form of $\frac{33}{-44}$ is $\frac{-3}{4}$.