[tex]\bf{Given : \frac{a}{b} = \frac{3}{8}}[/tex]
[tex]\bf{Given : \frac{b}{c} = \frac{6}{11}}[/tex]
The Least Common Multiple of 6 and 8 is 24
[tex]\bf{\implies \frac{a}{b} = \frac{9}{24}}[/tex]
[tex]\bf{\implies \frac{b}{c} = \frac{24}{44}}[/tex]
⇒ Smallest Possible Value of a is 9
⇒ Smallest Possible Value of b is 24
⇒ Smallest Possible Value of c is 44
⇒ Smallest Possible Value of a + b + c is (9 + 24 + 44) = 77
