Calculate: (2y-4)/(4y) * (9y^2)/(27y-54)

Expression: $\frac{ 2y-4 }{ 4y } \times \frac{ 9{y}^{2} }{ 27y-54 }$

Factor out $2$ from the expression

$\frac{ 2\left( y-2 \right) }{ 4y } \times \frac{ 9{y}^{2} }{ 27y-54 }$

Factor out $27$ from the expression

$\frac{ 2\left( y-2 \right) }{ 4y } \times \frac{ 9{y}^{2} }{ 27\left( y-2 \right) }$

Cancel out the common factor $y$

$\frac{ 2\left( y-2 \right) }{ 4 } \times \frac{ 9y }{ 27\left( y-2 \right) }$

Cancel out the common factor $y-2$

$\frac{ 2 \times 1 }{ 4 } \times \frac{ 9y }{ 27 }$

Cancel out the common factor $2$

$\frac{ 1 }{ 2 } \times \frac{ 9y }{ 27 }$

Cancel out the common factor $9$

$\frac{ 1 }{ 2 } \times \frac{ y }{ 3 }$

Multiply the fractions

$\frac{ y }{ 6 }$