Question

А)2 13\30-(1 1\10+1\5) б)2 8\15-(1 3\10+2\5) в)4 14\45-1 7\15-3\5 г)4 11\30-2 9\20-1\10

Answer 1

Пошаговое объяснение:

а)

$2\frac{13}{30} - ( 1 \frac{1}{10} +\frac{1}{5})= 2\frac{13}{30} - 1 ( \frac{1+2)}{10})= 2 \frac{13}{30} - 1\frac{3}{10} = 2\frac{13}{30} - 1\frac{3*3}{30}=2\frac{13}{30} - 1\frac{9}{30} = 1 \frac{4}{30} = 1\frac{2}{15}$

б)

$2\frac{8}{15} - ( 1 \frac{3}{10} +\frac{2}{5}) = 2\frac{8}{15} - 1 ( \frac{3+2*2}{10})= 2\frac{8}{15} - 1 \frac{7}{10} = 2 (\frac{8*2}{15*2}) - 1 (\frac{7*3}{10*3}) = 2\frac{16}{30} - 1\frac{21}{30} =\\ \\ 1\frac{46}{30} - 1\frac{21}{30} = \frac{25}{30}= \frac{5}{6}$

в)

$4\frac{14}{45} - 1\frac{7}{15} -\frac{3}{5} = 4\frac{14}{45} - 1 \frac{7*3}{15*3}- \frac{3*9}{5*9}= 4\frac{14}{45} - 1 \frac{21}{45} - \frac{27}{45} = 3 \frac{59}{45} - 1 \frac{21}{45}- \frac{27}{45} =\\ \\ 2\frac{38}{45} - \frac{27}{45} = 2 \frac{11}{45}$

г)

$4\frac{11}{30} - 2 \frac{9}{20} - \frac{1}{10} = 4 \frac{11*2}{30*2} - 2 \frac{9*3}{20*3} - \frac{6}{60}= 4\frac{22}{60} - 2\frac{27}{60} - \frac{6}{60} = 3\frac{82}{60}- 2 \frac{27}{60} - \frac{6}{60} =\\ \\ 1\frac{55}{60} -\frac{6}{60} = 1 \frac{49}{60}$