The reciprocal of the sum of the reciprocals of $$\frac{5}{7}$$​ and $$\frac{9}{5}$$​ is:

Correct option is C

Given:

The fractions:

​$$\frac{5}{7}, \frac{9}{5}$$​

Solution:

Sum of the reciprocals:

​$$\frac{7}{5} + \frac{5}{9}$$​

​$$=\frac{63}{45} + \frac{25}{45} = \frac{88}{45}$$​​

Reciprocal of the sum = ​$$\frac{45}{88}$$