A) \[63\frac{4}{81}\]
B) \[-23\frac{7}{9}\]
C) \[-67\frac{7}{9}\]
D) \[12\frac{6}{17}\]
Correct Answer: C
Solution :
We have, \[\frac{\left( -18\frac{1}{3}\times 2\frac{8}{11} \right)-\left( 4\frac{5}{7}\times 2\frac{1}{3} \right)}{\left| \frac{3}{5}+\left( \frac{-9}{10} \right) \right|+\left| -\left( \frac{-3}{5} \right) \right|}\] \[=\frac{\left( \frac{-55}{3}\times \frac{30}{11} \right)-\left( \frac{33}{7}\times \frac{7}{3} \right)}{\left| \frac{3}{5}-\frac{9}{10} \right|+\left| \frac{3}{5} \right|}=\frac{-50-11}{\left| \frac{6-9}{10} \right|+\frac{3}{5}}\] \[=\frac{-61}{\frac{3}{10}+\frac{3}{5}}=\frac{-61}{\frac{3+6}{10}}\] \[=\frac{-61\times 10}{9}=\frac{-610}{9}=-67\frac{7}{9}\]
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