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:

\[ \boxed{2} \]