`d) 38/45 – ( 8/45 – 17/51 – 3/11 )` `e) (11/4 . -5/9 – 4/9 . 11/4) . 8/33`

d,

$\dfrac{38}{45}-(\dfrac{8}{45}-\dfrac{17}{51}-\dfrac{3}{11})$

$=\dfrac{38}{45}-\dfrac{8}{45}+\dfrac{17}{51}+\dfrac{3}{11}$

$=\dfrac{2}{3}+\dfrac{17}{51}+\dfrac{3}{11}$

$=\dfrac{34}{51}+\dfrac{17}{51}+\dfrac{3}{11}$

$=1+\dfrac{3}{11}$

$=\dfrac{14}{11}$

e,

$\Bigg(\dfrac{11}{4}.\dfrac{-5}{9}-\dfrac{11}{4}.\dfrac{4}{9}\Bigg).\dfrac{8}{33}$

$=\dfrac{-11}{4}.(\dfrac{5}{9}+\dfrac{4}{9}).\dfrac{8}{33}$

$=\dfrac{-11}{4}.\dfrac{8}{33}$

$=\dfrac{-2}{3}$