A) \[\frac{500}{1197}\]
B) \[\frac{600}{1197}\]
C) \[\frac{206}{399}\]
D) \[\frac{-38}{57}\]
Correct Answer: A
Solution :
(a) \[a=\frac{20}{7},\,b=\frac{1}{4}:C=\frac{11}{19};d=\frac{-9}{4}\] \[a(b-c)\div d=\frac{\frac{20}{7}\left( \frac{1}{4}-\frac{11}{19} \right)}{\left( {}^{-9}/{}_{4} \right)}=\frac{20}{7}\times \frac{-4}{9}\to \times \left( \frac{19-44}{76} \right)\]\[=\frac{-80}{63}\times \frac{-25}{76}=\frac{\overset{20}{\mathop{\bcancel{80}}}\,\times 25}{63\times \underset{19}{\mathop{\bcancel{76}}}\,}=\frac{500}{1197}\]
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