№4 a) \(\frac{7}{16} + \frac{1}{2}\); б) \( 7 - 4\frac{5}{9}\); в) \(\frac{8}{9} - \frac{7}{12}\); г) \( 4\frac{3}{10} + 1\frac{5}{12}\); д) \( 9\frac{3}{8} - 1\frac{5}{24} + 7\frac{2}{3}\).

Решение:

1. \(\frac{7}{16} + \frac{1}{2} = \frac{7}{16} + \frac{8}{16} = \frac{15}{16}\)
2. \( 7 - 4\frac{5}{9} = 7 - \frac{41}{9} = \frac{63}{9} - \frac{41}{9} = \frac{22}{9} = 2\frac{4}{9}\)
3. \(\frac{8}{9} - \frac{7}{12} = \frac{32}{36} - \frac{21}{36} = \frac{11}{36}\)
4. \( 4\frac{3}{10} + 1\frac{5}{12} = \frac{43}{10} + \frac{17}{12} = \frac{43 \times 6}{60} + \frac{17 \times 5}{60} = \frac{258 + 85}{60} = \frac{343}{60} = 5\frac{43}{60}\)
5. \( 9\frac{3}{8} - 1\frac{5}{24} + 7\frac{2}{3} = \frac{75}{8} - \frac{29}{24} + \frac{23}{3} = \frac{75 \times 3}{24} - \frac{29}{24} + \frac{23 \times 8}{24} = \frac{225 - 29 + 184}{24} = \frac{380}{24} = \frac{95}{6} = 15\frac{5}{6}\)

Ответ: а) \(\frac{15}{16}\); б) \(2\frac{4}{9}\); в) \(\frac{11}{36}\); г) \(5\frac{43}{60}\); д) \(15\frac{5}{6}\).