Evaluate: (20)/(8)=(4k)/(32)

Expression: $\frac{ 20 }{ 8 }=\frac{ 4k }{ 32 }$

Cancel out the common factor $4$

$\frac{ 5 }{ 2 }=\frac{ 4k }{ 32 }$

Cancel out the common factor $4$

$\frac{ 5 }{ 2 }=\frac{ k }{ 8 }$

Simplify the equation using cross-multiplication

$40=2k$

Swap the sides of the equation

$2k=40$

Divide both sides of the equation by $2$

$k=20$