Вычислите: 1 \(\frac{3}{10}\) - (4 - 2 \(\frac{1}{3}\)) : 1 \(\frac{3}{7}\) + \(\frac{1}{5}\).

Вычислим:

1. Преобразуем смешанные числа в неправильные дроби:
   1 \(\frac{3}{10}\) = \(\frac{1 \cdot 10 + 3}{10}\) = \(\frac{13}{10}\)
   2 \(\frac{1}{3}\) = \(\frac{2 \cdot 3 + 1}{3}\) = \(\frac{7}{3}\)
   1 \(\frac{3}{7}\) = \(\frac{1 \cdot 7 + 3}{7}\) = \(\frac{10}{7}\)
2. Выполним вычитание в скобках:
   4 - 2 \(\frac{1}{3}\) = 4 - \(\frac{7}{3}\) = \(\frac{4 \cdot 3}{3}\) - \(\frac{7}{3}\) = \(\frac{12 - 7}{3}\) = \(\frac{5}{3}\)
3. Выполним деление:
   \(\frac{5}{3}\) : 1 \(\frac{3}{7}\) = \(\frac{5}{3}\) : \(\frac{10}{7}\) = \(\frac{5}{3}\) \(\cdot \) \(\frac{7}{10}\) = \(\frac{5 \cdot 7}{3 \cdot 10}\) = \(\frac{35}{30}\) = \(\frac{7}{6}\)
4. Выполним вычитание:
   1 \(\frac{3}{10}\) - \(\frac{7}{6}\) = \(\frac{13}{10}\) - \(\frac{7}{6}\) = \(\frac{13 \cdot 3}{10 \cdot 3}\) - \(\frac{7 \cdot 5}{6 \cdot 5}\) = \(\frac{39}{30}\) - \(\frac{35}{30}\) = \(\frac{39 - 35}{30}\) = \(\frac{4}{30}\) = \(\frac{2}{15}\)
5. Выполним сложение:
   \(\frac{2}{15}\) + \(\frac{1}{5}\) = \(\frac{2}{15}\) + \(\frac{1 \cdot 3}{5 \cdot 3}\) = \(\frac{2}{15}\) + \(\frac{3}{15}\) = \(\frac{2 + 3}{15}\) = \(\frac{5}{15}\) = \(\frac{1}{3}\)

Ответ: \(\frac{1}{3}\)