Calculate: (36\div2 \times 6+|-4|)/(18-32\div4^2)

Expression: $\frac{ 36\div2 \times 6+|-4| }{ 18-32\div{4}^{2} }$

Evaluate the expression

$\frac{ 108+|-4| }{ 18-32\div{4}^{2} }$

The absolute value of any number is always positive

$\frac{ 108+4 }{ 18-32\div{4}^{2} }$

Write the number in exponential form with the base of $2$

$\frac{ 108+4 }{ 18-{2}^{5}\div{4}^{2} }$

Write the expression in exponential form with the base of $2$

$\frac{ 108+4 }{ 18-{2}^{5}\div{2}^{4} }$

Add the numbers

$\frac{ 112 }{ 18-{2}^{5}\div{2}^{4} }$

Calculate the quotient

$\frac{ 112 }{ 18-2 }$

Subtract the numbers

$\frac{ 112 }{ 16 }$

Cancel out the common factor $16$

$7$