Question

What is the value of the following expression?

$\frac{-45}{15}+\frac{-3}{-27}+\frac{8}{9}$

• A. $2$
• B. $-2$
• C. $4$
• D. $-4$

Answer 1

The correct option is B $-2$

Here,

$\frac{-45}{15}+\frac{-3}{-27}+\frac{8}{9}$

If two integers having the same sign are divided, then the result is always positive.
$\Rightarrow \frac{-3}{1}+\frac{1}{9}+\frac{8}{9}$

If two integers having different signs are divided, then the result will always be a negative number.
$\Rightarrow -3+\frac{1}{9}+\frac{8}{9}$
$=-3+\frac{1+8}{9}$
$=-3+1$
$=-2$