First, let's simplify the expression within the parentheses:
3/17 + 5/34 + 1/2 = (32)/(172) + 5/34 + 17/34= 6/34 + 5/34 + 17/34= (6 + 5 + 17)/34= 28/34
Now, let's simplify the expression after the parentheses:
1 - 11/28 = (28 - 11)/28 = 17/28
9:6/11 - 148 1/4:9= 9(6/11) - (148 + 1/4)9= 54/11 - (1489 + 19)/4= 54/11 - (1332 + 9)/4= 54/11 - 1341/4= (454)/(411) - 1341/4= 216/44 - 1341/4= (4216 - 134111)/44= (864 - 14751)/44= -13887/44
Finally, let's substitute the simplified values back into the expression:
(28/34) (17/28) / (-13887/44)= (28/34) (17/28) / (-13887/44)= (4/5) (17/28) / (-13887/44)= (4/5) (17/28) / (-13887/44)= (4/5) (17/28) / (-13887/44)= (68/140) / (-13887/44)= (34/70) / (-13887/44)= (34/70) (-44/13887)= (-136/4830)= -68/2415
Therefore, the final answer is -68/2415.
First, let's simplify the expression within the parentheses:
3/17 + 5/34 + 1/2 = (32)/(172) + 5/34 + 17/34
= 6/34 + 5/34 + 17/34
= (6 + 5 + 17)/34
= 28/34
Now, let's simplify the expression after the parentheses:
1 - 11/28 = (28 - 11)/28 = 17/28
9:6/11 - 148 1/4:9
= 9(6/11) - (148 + 1/4)9
= 54/11 - (1489 + 19)/4
= 54/11 - (1332 + 9)/4
= 54/11 - 1341/4
= (454)/(411) - 1341/4
= 216/44 - 1341/4
= (4216 - 134111)/44
= (864 - 14751)/44
= -13887/44
Finally, let's substitute the simplified values back into the expression:
(28/34) (17/28) / (-13887/44)
= (28/34) (17/28) / (-13887/44)
= (4/5) (17/28) / (-13887/44)
= (4/5) (17/28) / (-13887/44)
= (4/5) (17/28) / (-13887/44)
= (68/140) / (-13887/44)
= (34/70) / (-13887/44)
= (34/70) (-44/13887)
= (-136/4830)
= -68/2415
Therefore, the final answer is -68/2415.