Разберем примеры на выделение целой части из неправильной дроби:
1) \(3\frac{20}{17} = 3 + \frac{20}{17} = 3 + 1\frac{3}{17} = 4\frac{3}{17}\)
2) \(2\frac{5}{3} = 2 + \frac{5}{3} = 2 + 1\frac{2}{3} = 3\frac{2}{3}\)
3) \(14\frac{17}{15} = 14 + \frac{17}{15} = 14 + 1\frac{2}{15} = 15\frac{2}{15}\)
4) \(1\frac{18}{13} = 1 + \frac{18}{13} = 1 + 1\frac{5}{13} = 2\frac{5}{13}\)
5) \(7\frac{9}{7} = 7 + \frac{9}{7} = 7 + 1\frac{2}{7} = 8\frac{2}{7}\)
6) \(5\frac{13}{10} = 5 + \frac{13}{10} = 5 + 1\frac{3}{10} = 6\frac{3}{10}\)
7) \(2\frac{19}{11} = 2 + \frac{19}{11} = 2 + 1\frac{8}{11} = 3\frac{8}{11}\)
8) \(4\frac{11}{6} = 4 + \frac{11}{6} = 4 + 1\frac{5}{6} = 5\frac{5}{6}\)
9) \(6\frac{17}{9} = 6 + \frac{17}{9} = 6 + 1\frac{8}{9} = 7\frac{8}{9}\)
10) \(3\frac{14}{11} = 3 + \frac{14}{11} = 3 + 1\frac{3}{11} = 4\frac{3}{11}\)
11) \(8\frac{7}{5} = 8 + \frac{7}{5} = 8 + 1\frac{2}{5} = 9\frac{2}{5}\)
12) \(13\frac{5}{4} = 13 + \frac{5}{4} = 13 + 1\frac{1}{4} = 14\frac{1}{4}\)
13) \(1\frac{19}{12} = 1 + \frac{19}{12} = 1 + 1\frac{7}{12} = 2\frac{7}{12}\)
14) \(2\frac{27}{14} = 2 + \frac{27}{14} = 2 + 1\frac{13}{14} = 3\frac{13}{14}\)
15) \(6\frac{15}{8} = 6 + \frac{15}{8} = 6 + 1\frac{7}{8} = 7\frac{7}{8}\)
16) \(5\frac{29}{16} = 5 + \frac{29}{16} = 5 + 1\frac{13}{16} = 6\frac{13}{16}\)
17) \(4\frac{39}{27} = 4 + \frac{39}{27} = 4 + 1\frac{12}{27} = 5\frac{12}{27}\)
18) \(8\frac{100}{53} = 8 + \frac{100}{53} = 8 + 1\frac{47}{53} = 9\frac{47}{53}\)
7) 4 \frac{1}{7} = \frac{4*7+1}{7} = \frac{29}{7}
8) \(4\frac{1}{7} = \frac{4 \cdot 7 + 1}{7} = \frac{28 + 1}{7} = \frac{29}{7}\)
9) \(1\frac{3}{8} = \frac{1 \cdot 8 + 3}{8} = \frac{8 + 3}{8} = \frac{11}{8}\)
17) \(7 \frac{1}{14} = \frac{7 \cdot 14 + 1}{14} = \frac{98 + 1}{14} = \frac{99}{14}\)
18) \(2 \frac{16}{17} = \frac{2 \cdot 17 + 16}{17} = \frac{34 + 16}{17} = \frac{50}{17}\)