Solve for: (9)/(20)\div(27)/(5)

Expression: $\frac{ 9 }{ 20 }\div\frac{ 27 }{ 5 }$

To divide by a fraction, multiply by the reciprocal of that fraction

$\frac{ 9 }{ 20 } \times \frac{ 5 }{ 27 }$

Cancel out the greatest common factor $9$

$\frac{ 1 }{ 20 } \times \frac{ 5 }{ 3 }$

Cancel out the greatest common factor $5$

$\frac{ 1 }{ 4 } \times \frac{ 1 }{ 3 }$

Multiply the fractions

$\begin{align*}&\frac{ 1 }{ 12 } \\&\begin{array} { l }0.08\overset{ \cdot }{ 3 } ,& {12}^{-1}\end{array}\end{align*}$