If \(a \star b = \dfrac{\left(\dfrac{1}{b} - \dfrac{1}{a}\right)}{(a - b)}\), express \(3 \star 11\) as a common fraction.
a * b = 3 * 11 =
(1/11 - 1/3)
_________ =
3 - 11
( 3 - 11) / (11*3)
____________ =
(3 - 11) / 1
(3 - 11) / (11*3) * ( 1) / (3 - 11) =
1
____ =
11*3
__
33
