15/27:5/18

To solve the expression \( \frac{15}{27} : \frac{5}{18} \), we can rewrite the division of fractions as multiplication by the reciprocal. Thus: \[ \frac{15}{27} \div \frac{5}{18} = \frac{15}{27} \times \frac{18}{5} \] Now, multiply the fractions: \[ \frac{15 \times 18}{27 \times 5} \] Calculating the numerator: \[ 15 \times 18 = 270 \] Calculating the denominator: \[ 27 \times 5 = 135 \] Now, we have: \[ \frac{270}{135} \] Next, we can simplify \( \frac{270}{135} \). Both the numerator and the denominator can be divided by 135: \[ \frac{270 \div 135}{135 \div 135} = \frac{2}{1} = 2 \] Thus, the result of \( \frac{15}{27} : \frac{5}{18} \) is: \[ \boxed{2} \]