Question

what is the solution for this question?​

Answer 1

$\frac{1}{3} \div \frac{ \frac{1}{2} - \frac{1}{3} }{ \frac{1}{5} ( \frac{1}{3} - \frac{1}{4} )} \\ \\ = \geqslant \frac{1}{3} \times \frac{ \frac{1}{5} ( \frac{1}{3} - \frac{1}{4} ) }{ \frac{1}{2} - \frac{1}{3} } \\ \\ = \geqslant \frac{1}{3} \times \frac{ \frac{1}{15} - \frac{1}{20} }{ \frac{1}{2} - \frac{1}{3} } \\ \\ = \geqslant \frac{1}{3} \times \frac{ \frac{4 - 3}{60} }{ \frac{3 - 2}{6} } \\ \\ = \geqslant \frac{1}{3} \times \frac{ \frac{1}{60} }{ \frac{1}{6} } \\ \\ = \geqslant \frac{1}{3} \times \frac{1}{60} \times \frac{6}{1} \\ \\ = \geqslant \frac{1}{3} \times \frac{1}{10} \\ \\ = \geqslant \frac{1}{30}$