First, simplify the fractions inside the parentheses:
5/9 + 14/15 = (55)/(95) + (143)/(153)= 25/45 + 42/45= 67/45
Then, divide this result by -17/30:
(67/45) / (-17/30) = (67/45) (-30/17)= (67-30) / (45*17)= -2010 / 765= -670 / 255= -134 / 51
Therefore, -(5/9 + 14/15) / (-17/30) = -134/51.
First, simplify the fractions inside the parentheses:
5/9 + 14/15 = (55)/(95) + (143)/(153)
= 25/45 + 42/45
= 67/45
Then, divide this result by -17/30:
(67/45) / (-17/30) = (67/45) (-30/17)
= (67-30) / (45*17)
= -2010 / 765
= -670 / 255
= -134 / 51
Therefore, -(5/9 + 14/15) / (-17/30) = -134/51.