The value of $${\text{5}}\frac{1}{3} \div 1\frac{2}{9} \times \frac{1}{4}$$   $$\left( {10 + \frac{3}{{1 - \frac{1}{5}}}} \right)$$   = ?

Solution (By Examveda Team)

$$\eqalign{ & {\text{According to question,}} \cr & {\text{5}}\frac{1}{3} \div 1\frac{2}{9} \times \frac{1}{4}\left( {10 + \frac{3}{{1 - \frac{1}{5}}}} \right) \cr & = \frac{{16}}{3} \div \frac{{11}}{9} \times \frac{1}{4}\left( {10 + \frac{3}{{\frac{4}{5}}}} \right) \cr & = \frac{{16}}{3} \div \frac{{11}}{9} \times \frac{1}{4}\left( {10 + \frac{{15}}{4}} \right) \cr & = \frac{{16}}{3} \times \frac{9}{{11}} \times \frac{1}{4} \times \frac{{55}}{4} \cr & = \frac{{48}}{{11}} \times \frac{1}{4} \times \frac{{55}}{4} \cr & = 15 \cr} $$