Solve for: 3/4 * 5/9 / 5/18

Expression: $\frac{3}{4}\times \frac{5}{9}\div \frac{5}{18}$

Apply the fraction rule $\frac{a}{b}\div\frac{c}{d}=\frac{a}{b}\times\frac{d}{c}$

$=\frac{3}{4}\times \frac{5}{9}\times \frac{18}{5}$

Multiply fractions $\frac{a}{b}\times\frac{c}{d}=\frac{a \times c}{b \times d}$

$=\frac{3\times 5\times 18}{4\times 9\times 5}$

Cancel the common factor: $ 5$

$=\frac{3\times 18}{4\times 9}$

Multiply the numbers: $ 3\times 18=54$

$=\frac{54}{4\times 9}$

Multiply the numbers: $ 4\times 9=36$

$=\frac{54}{36}$

Cancel the common factor: $ 18$

$=\frac{3}{2}$