Numerator: \(\frac{1}{10}\cdot\frac{2}{3} + \frac{1}{4} = \frac{1}{15} + \frac{1}{4} = \frac{4+15}{60} = \frac{19}{60}\) Denominator: \(\frac{\frac{1}{2}}{\frac{3}{5}} - \frac{1}{4} = \frac{1}{2}\cdot\frac{5}{3} - \frac{1}{4} = \frac{5}{6} - \frac{1}{4} = \frac{10-3}{12} = \frac{7}{12}\) Final: \(\frac{19}{60} \div \frac{7}{12}\) = \(\frac{19}{60} \times \frac{12}{7}\) = \(\frac{19}{35}\)