The smallest fraction which should be subtracted from the sum of $${\text{1}}\frac{3}{4}$$,  $${\text{2}}\frac{1}{2}$$,  $$5\frac{7}{{12}}$$,  $${\text{3}}\frac{1}{3}$$  and  $${\text{2}}\frac{1}{4}$$  to make the result a whole number is = ?

$$\eqalign{ & {\text{Sum of given fractions}} \cr & {\text{ = }}\frac{7}{4} + \frac{5}{2} + \frac{{67}}{{12}} + \frac{{10}}{3} + \frac{9}{4} \cr & = \left( {\frac{{21 + 30 + 67 + 40 + 24}}{{12}}} \right) \cr & = \frac{{185}}{{12}} \cr & {\text{The whole number just }} \cr & {\text{less than }}\frac{{185}}{{12}}{\text{ is 15}} \cr & {\text{let }}\frac{{185}}{{12}} - x = 15 \cr & {\text{Then,}} \cr & x = \left( {\frac{{185}}{{12}} - 15} \right) \cr & \,\,\,\,\,\, = \frac{5}{{12}} \cr} $$