Evaluate: $$\frac{1}{\frac{2}{3} + \frac{3}{5}} \div \frac{8}{39}$$​​

Correct option is C

Given:

 $$\frac{1}{\frac{2}{3} + \frac{3}{5}} \div \frac{8}{39}$$  

Solution:

$$\frac{1}{\frac{2}{3} + \frac{3}{5}} \div \frac{8}{39}$$​​

$$= \frac{1}{\frac{2\times 5 + 3\times 3}{15}} \div \frac{8}{39} \\\ \\= \frac{15}{19}\times \frac{39}{8} \\\ \\= \frac{15 \times 39}{19\times 8} \\\ \\= \frac{585}{152} \\\ \\= 3 \frac{129}{152}$$​