Simplify. Write your answer as a proper or improper fraction in simplest form. (frac (2)/(7))((10)/(9))=(square )/(square )

To simplify the expression $\frac {\frac {2}{7}}{\frac {10}{9}}$, we can multiply the numerator and denominator by the reciprocal of the denominator.<br /><br />The reciprocal of $\frac {10}{9}$ is $\frac {9}{10}$.<br /><br />So, we have:<br /><br />$\frac {\frac {2}{7}}{\frac {10}{9}} = \frac {\frac {2}{7}}{\frac {10}{9}} \times \frac {9}{10} = \frac {2}{7} \times \frac {9}{10} = \frac {18}{70} = \frac {9}{35}$<br /><br />Therefore, the simplified form of the expression is $\frac {9}{35}$.