​Simplify the following: 

$$\left\{\frac{\left(\frac{7}{2} \div \frac{5}{2} \times \frac{3}{2}\right)}{\left(\frac{7}{2}\div \left(\frac{5}{2}\times \frac{3}{2}\right)\right)} \right \} \div5.25$$​​

Correct option is C

Given: ​

​$$\left\{\frac{\left(\frac{7}{2} \div \frac{5}{2} \times \frac{3}{2}\right)}{\left(\frac{7}{2}\div \left(\frac{5}{2}\times \frac{3}{2}\right)\right)} \right \} \div5.25$$​​

Solution:

​$$\left\{\frac{\left(\frac{7}{2} \div \frac{5}{2} \times \frac{3}{2}\right)}{\left(\frac{7}{2}\div \left(\frac{5}{2}\times \frac{3}{2}\right)\right)} \right \} \div5.25$$​​

= $$\frac{\frac{7}{2} \times \frac{2}{5} \times \frac{3}{2}}{\frac{7}{2}\div \frac{15}{4}} \div5.25$$ 

= $$\frac{\frac{21}{10}}{\frac{7}{4} \times \frac{4}{15}} \div \frac{525}{100}$$ 

= $$\frac{21}{10} \times\frac{15}{14}\times \frac{100}{525}$$ = $$\frac{21}{49}$$

= $$\frac{3}{7}$$​​​ 

​