Question

671. Вычислите:
- 6 3/4 x 5 1/3 - 4 1/3 х 3 / 13 2) -2 1/6 + 1/4 × -2 2/11 3) 3 6/7× -2 1/3 - 8/9 × -1 7/8 4) -8 3/8 + 7 1/16 x -2 14 /29​​

Answer 1

$-\frac{27}{4} * \frac{16}{3} - \frac{13}{3} * \frac{3}{13} = -37$

1) $-\frac{27}{4} * \frac{16}{3} = -\frac{36}{1} = -36$

2) $\frac{13}{3} * \frac{3}{13} = 1$

3) -36-1 = -37

$-\frac{13}{6} + \frac{1}{4} * (-\frac{24}{11}) = -2\frac{47}{66}$

1) $\frac{1}{4} * (-\frac{24}{11}) = -\frac{6}{11}$

2) $-\frac{13}{6} - \frac{6}{11} = -\frac{143}{66} - \frac{36}{66} = -\frac{179}{66} = -2\frac{47}{66}$  

$\frac{27}{7} * (-\frac{7}{3}) - \frac{8}{9} * (-\frac{15}{8}) = -7\frac{1}{3}$

1) $\frac{27}{7} * (-\frac{7}{3}) = -9$

2) $\frac{8}{9} * (-\frac{15}{8}) = -\frac{5}{3}$

3) $-\frac{27}{3} + \frac{5}{3} = -\frac{22}{3} = -7\frac{1}{3}$  

$-\frac{67}{8} + \frac{113}{16} * (-\frac{72}{29}) = -25\frac{211}{232}$

1) $\frac{113}{16} * (-\frac{72}{29}) = \frac{1017}{58}$

2) $(-\frac{67}{8}) - \frac{1017}{58} = -\frac{1943}{232} - \frac{4068}{232} = -\frac{6011}{232} = -25\frac{211}{232}$