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Given $\frac{a}{b}=\frac{1}{3}$ $\frac{b}{c}={2}$ $\frac{c}{d}=\frac{1}{2}$

$\frac{d}{e}=3$ $\frac{e}{f}=\frac{1}{4}$

b=3a=2c=d => d=3a

b=2c=d=3e => e = $\frac{b}{3}$

c = $\frac{d}{2} = \frac{3e}{2} = \frac{3f}{8}$

$\frac{a}{d} *\frac{b}{e} * \frac{c}{f}$ = $\frac{a}{3a} *\frac{b}{\frac{b}{3}} * \frac{c}{\frac{8c}{3}}$

=$\frac{3}{8}$

$\frac{d}{e}=3$ $\frac{e}{f}=\frac{1}{4}$

b=3a=2c=d => d=3a

b=2c=d=3e => e = $\frac{b}{3}$

c = $\frac{d}{2} = \frac{3e}{2} = \frac{3f}{8}$

$\frac{a}{d} *\frac{b}{e} * \frac{c}{f}$ = $\frac{a}{3a} *\frac{b}{\frac{b}{3}} * \frac{c}{\frac{8c}{3}}$

=$\frac{3}{8}$