$\dfrac{\dfrac{1}{3}+\dfrac{1}{4}+\dfrac{1}{5}}{\dfrac{1}{4}+\dfrac{1}{5}+\dfrac{1}{6}}:\dfrac{\dfrac{2}{5}\left(\dfrac{1}{4}+\dfrac{3}{7}+\dfrac{5}{9}\right)}{\dfrac{3}{20}+\dfrac{9}{35}+\dfrac{1}{3}}= \ ?$
$\dfrac{\dfrac{1}{3}+\dfrac{1}{4}+\dfrac{1}{5}}{\dfrac{1}{4}+\dfrac{1}{5}+\dfrac{1}{6}}:\dfrac{\dfrac{2}{5}\left(\dfrac{1}{4}+\dfrac{3}{7}+\dfrac{5}{9}\right)}{\dfrac{3}{20}+\dfrac{9}{35}+\dfrac{1}{3}}= \ ?$
$\frac{\frac{1}{3} + \frac{1}{4} + \frac{1}{5}}{\frac{1}{4} + \frac{1}{5} + \frac{1}{6}}$ : $\frac{\frac{2}{5}(\frac{1}{4} + \frac{3}{7} + \frac{5}{9})}{\frac{3}{20} + \frac{9}{35} + \frac{1}{3}}$
= $\frac{\frac{47}{60}}{\frac{37}{60}}$ : $\frac{\frac{2}{5} . \frac{311}{252}}{\frac{311}{420}}$
= $\frac{\frac{47}{60}}{\frac{37}{60}}$ : $\frac{\frac{311}{630}}{\frac{311}{420}}$
= $\frac{47}{37}$ : $\frac{2}{3}$
= $\frac{141}{74}$