Question
Among $\frac{2}{5},\frac{16}{35}$ and $\frac{9}{14}$ the largest is $\frac{16}{35}$

Answer

False.
Solution:
The LCM of 5, 35 and 14 is 70
Now $\frac{2}{5}=\times\frac{14}{14}=\frac{28}{70}$
$\frac{16}{35}=\frac{16}{35}\times\frac{2}{2}=\frac{32}{70}$
$\frac{9}{14}=\frac{9}{14}\times\frac{5}{5}=\frac{45}{70}$
Clearly, $\frac{28}{70}<\frac{32}{70}<\frac{45}{70}$
$\therefore\frac{2}{5}<\frac{16}{35}<\frac{9}{14}$

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