If the fraction $$\frac{4}{9},\frac{2}{7},\frac{3}{8},\frac{6}{13} and \frac{5}{11}$$ are arranged in descending order which one will be second ?

In order to arrange the fractions in descending order, we need to have the same denominator for all the fractions.
So, we need to find the LCM of all the denominators. The denominators are 9,7,8,13 and 11.
Their LCM is 72072.

Let us represent all the numbers given with the same denominator, ie 72072.
$$\frac{4}{9} = \frac{32032}{72072}$$

$$\frac{2}{7} = \frac{20592}{72072}$$

$$\frac{3}{8} = \frac{27027}{72072}$$

$$\frac{6}{13} = \frac{33264}{72072}$$

$$\frac{5}{11} = \frac{32760}{72072}$$

When arranged in descending order, the order will be as below
$$\frac{33264}{72072}$$, $$\frac{32760}{72072}$$,$$\frac{32032}{72072}$$,$$\frac{27027}{72072}$$,$$\frac{20592}{72072}$$
Hence, the second number when the above fractions are arranged in descending order is $$\frac{32760}{72072}=\frac{5}{11}$$