Solve -(-7+4)÷(-9): Negative Numbers and Division Practice

Solve the following equation:

$-(-7+4):(-9)=$

In order to solve the equation we must follow the order of operations beginning with the parentheses:

$-7+4=-3$

We should obtain the following expression:

$-(-3):(-9)=$

Let's apply the rule:

$-(-x)=+x$

Therefore:

$-(-3)=3$

Resulting in the following expression:

$3:(-9)=$

Let's proceed to write the expression as a simple fraction:

$\frac{+3}{-9}=$

Note that we are dividing a positive number by a negative number, so the result must be a negative number:

$\frac{+}{-}=-$

Next let's expand the 9 in the denominator of the fraction:

$-\frac{3}{3\times3}=$

Finally let's reduce the 3 in both the numerator and denominator of the fraction:

$-\frac{1}{3}$