Correct option : (d) 1
Given Exp. \(=\cfrac{\frac{29}{7}-\frac94}{\frac72+\frac87}\div \cfrac{1}{2+\cfrac{1}{2+\cfrac{1}{\frac{24}{5}}}}\)
\(=\cfrac{\frac{116-63}{28}}{\frac{49+16}{14}}\div \cfrac{1}{2+\cfrac{1}{2+\cfrac{5}{24}}}\)
\(=\cfrac{53}{28}\times \cfrac{14}{65}\div \cfrac{1}{2+\cfrac{1}{\frac{53}{24}}}\)
\(=\cfrac{53}{28}\times \cfrac{14}{65}\div \cfrac{1}{2+\frac{24}{53}}\)
\(=\cfrac{53}{28}\times \cfrac{14}{65}\div \cfrac{1}{\frac{130}{53}}\)
\(=\cfrac{53}{28}\times \cfrac{14}{65}\div \cfrac{53}{130} =\cfrac{53}{28}\times \cfrac{14}{65}\times\cfrac{130}{53}\)
\(=\cfrac{14}{28}\times \cfrac{130}{65}= \cfrac12\times2=1.\)
