Correct Answer - Option 1 :

\(136{17\over60}\)
__Concept:__

__\(x\frac{y}{z} = \frac{{\left( {x \;\times\; z} \right) \;+ \;y}}{z}\)__

__Calculation:__

__\((3{1\over4} + 5{2\over3} + 7{2\over5})\)__

= \(\frac{{\left( {4 \;\times\; 3} \right) \;+ \;1}}{4} + \frac{{\left( {5 \;\times\; 3} \right) \;+ \;2}}{3} \;+\; \frac{{\left( {7 \;\times \;5} \right)\; +\; 2}}{5}\)

= \(\frac{{13}}{4} + \frac{{17}}{3} + \frac{{37}}{5} = \frac{{8177}}{{60}} = 136\frac{{17}}{{60}}\)