A) \[\frac{56}{77}\]
B) \[\frac{49}{80}\]
C) \[\frac{2}{3}\]
D) \[3\frac{2}{9}\]
Correct Answer: D
Solution :
The given expression \[=\frac{\frac{11}{4}}{\frac{11}{6}}\div \frac{7}{8}\left( \frac{4+3}{12} \right)+\frac{5}{7}\div \frac{3}{4}\,\,\text{of}\,\,\frac{3}{7}\] \[=\left( \frac{11}{4}\times \frac{6}{11} \right)\div \frac{7}{8}\times \frac{7}{12}+\frac{5}{7}\div \left( \frac{3}{4}\times \frac{3}{7} \right)\] \[=\frac{3}{2}\div \frac{7}{8}\times \frac{7}{12}+\frac{5}{7}\div \frac{9}{28}\] \[=\frac{3}{2}\times \frac{8}{7}\times \frac{7}{12}+\frac{5}{7}\times \frac{28}{9}\] \[=1+\frac{20}{9}=\frac{9+20}{9}=\frac{29}{9}=3\frac{2}{9}\]
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