Simplify
​$$\frac{3}{4} \div \frac{5}{12} - \frac{1}{3} \times \frac{9}{5} \left( \frac{2}{3} \div \frac{1}{3} - 1 \right)$$​​

Correct option is D

Given:

​$$\frac{3}{4} \div \frac{5}{12} - \frac{1}{3} \times \frac{9}{5} \left( \frac{2}{3} \div \frac{1}{3} - 1 \right)$$ 

Solution:

​$$\frac{3}{4} \div \frac{5}{12} - \frac{1}{3} \times \frac{9}{5} \left( \frac{2}{3} \div \frac{1}{3} - 1 \right)$$ 

= $$\frac{3}{4} \times \frac{12}{5} - \frac{1}{3} \times \frac{9}{5} \left( \frac{2}{3} \times\frac{3}{1} - 1 \right)$$ 

=$$\frac{9}{5}- \frac{3}{5} \left( 2 - 1 \right)$$

=6/5

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