22/15:11/5

To simplify the expression \( \frac{22}{15} : \frac{11}{5} \), you can convert the division of fractions into multiplication by the reciprocal.

So,

\[ \frac{22}{15} : \frac{11}{5} = \frac{22}{15} \times \frac{5}{11} \]

Now, multiply the numerators and denominators:

\[ = \frac{22 \times 5}{15 \times 11} = \frac{110}{165} \]

Next, simplify \(\frac{110}{165}\) by finding the greatest common divisor (GCD) of 110 and 165, which is 55:

\[ \frac{110 \div 55}{165 \div 55} = \frac{2}{3} \]

So,

\[ 22/15 : 11/5 = \frac{2}{3} \]