(frac (1)/(15)+(1)/(10))((1-(14)/(15))+(1-(15)/(10))) B) (3)/(5) C) 2 D

To solve the expression, we need to simplify the numerator and denominator separately and then divide the numerator by the denominator.<br /><br />Let's start with the numerator:<br />$\frac{1}{15} + \frac{1}{10} = \frac{2}{30} + \frac{3}{30} = \frac{5}{30} = \frac{1}{6}$<br /><br />Now let's simplify the denominator:<br />$(1 - \frac{14}{15}) + (1 - \frac{15}{10}) = \frac{1}{15} + \frac{1}{10} = \frac{2}{30} + \frac{3}{30} = \frac{5}{30} = \frac{1}{6}$<br /><br />Now we can divide the numerator by the denominator:<br />$\frac{\frac{1}{6}}{\frac{1}{6}} = 1$<br /><br />Therefore, the correct answer is A) 1.