6. Вычислите: a) 6 1/3 - 8; б) -2 2/7 + 4 3/5; в) 1 1/5 - 6 1/4; г) 3/8 : (-9/16); д) 12/5 * (-6); e) -3 2/9 * 3; ж) 4/7 * (-49); 3) -16 : (-4/9); и) -3 1/2 * (-1 3/7).

6. Вычисление:

1. \( 6 \frac{1}{3} - 8 = \frac{19}{3} - \frac{24}{3} = -\frac{5}{3} = -1 \frac{2}{3} \)
2. \( -2 \frac{2}{7} + 4 \frac{3}{5} = -\frac{16}{7} + \frac{23}{5} = \frac{-80 + 161}{35} = \frac{81}{35} = 2 \frac{11}{35} \)
3. \( 1 \frac{1}{5} - 6 \frac{1}{4} = \frac{6}{5} - \frac{25}{4} = \frac{24 - 125}{20} = -\frac{101}{20} = -5 \frac{1}{20} \)
4. \( \frac{3}{8} : \left(-\frac{9}{16}\right) = \frac{3}{8} \times \left(-\frac{16}{9}\right) = -\frac{1}{1} \times \frac{2}{3} = -\frac{2}{3} \)
5. \( \frac{12}{5} \times (-6) = -\frac{72}{5} = -14,4 \)
6. \( -3 \frac{2}{9} \times 3 = -\frac{29}{9} \times 3 = -\frac{29}{3} = -9 \frac{2}{3} \)
7. \( \frac{4}{7} \times (-49) = 4 \times (-7) = -28 \)
8. \( -16 : \left(-\frac{4}{9}\right) = -16 \times \left(-\frac{9}{4}\right) = 4 \times 9 = 36 \)
9. \( -3 \frac{1}{2} \times (-1 \frac{3}{7}) = -\frac{7}{2} \times (-\frac{10}{7}) = \frac{1}{1} \times \frac{5}{1} = 5 \)

Ответ: а) -1 \( \frac{2}{3} \); б) 2 \( \frac{11}{35} \); в) -5 \( \frac{1}{20} \); г) - \( \frac{2}{3} \); д) -14,4; е) -9 \( \frac{2}{3} \); ж) -28; з) 36; и) 5.