The value of $$\frac{\frac{8}{3}÷\frac{3}{5}×\frac{7}{5}}{\frac{5}{3}÷\frac{5}{7}×\frac{8}{9}}÷9$$​ is:

Correct option is A

Given:

$$\frac{\frac{8}{3}÷\frac{3}{5}×\frac{7}{5}}{\frac{5}{3}÷\frac{5}{7}×\frac{8}{9}}÷9$$

Solution:

$$\frac{\frac{8}{3}÷\frac{3}{5}×\frac{7}{5}}{\frac{5}{3}÷\frac{5}{7}×\frac{8}{9}}÷9$$

=$$\frac{\frac{8}{3}\times\frac{5}{3}×\frac{7}{5}}{\frac{5}{3}\times\frac{7}{5}×\frac{8}{9}}\times \frac{1}{9}$$

=$$\frac{\frac{56}{9}}{\frac{56}{27}}\times \frac{1}{9}$$

=$$3 \times \frac{1}{9}=\frac{1}{3}$$​