Question

simplify the expression below using order of operations.
$\frac{9 - (-3)}{8 + (-2)}+\frac{5 + 3^{3}}{1 - 9}$

Explanation:

Step1: Simplify numerators and denominators separately

For the first fraction, $9-(-3)=9 + 3=12$ and $8+(-2)=8 - 2 = 6$. For the second fraction, $5 + 3^{3}=5+27 = 32$ and $1-9=-8$.

Step2: Calculate each fraction

The first fraction $\frac{9-(-3)}{8+(-2)}=\frac{12}{6}=2$. The second fraction $\frac{5 + 3^{3}}{1-9}=\frac{32}{-8}=-4$.

Step3: Add the results of the two - fractions

$2+( - 4)=2-4=-2$.

Answer:

$-2$