Question

Вычислите действие 100:14 8\26+5 18\26-6 1\5-2 3\5:18

Answer 1

$100:14 \frac{8}{26}+5 \frac{18}{26}-6 \frac{1}{5}-2 \frac{3}{5}:18 = \\ = 100:14 \frac{4}{13}+5+ \frac{9}{13}-6+ \frac{1}{5}- \frac{13}{5}:18 = \\ = 100 : \frac{14*13+4}{13}-\frac{4}{13}+ \frac{1}{5}- \frac{13}{5}:18 = \\ = 100 \cdot \frac{13}{14*13+4}-\frac{4 \cdot 5-13}{13 \cdot 5}- \frac{13}{5}:18 = \\ = 50 \cdot \frac{13}{7*13+2}-\frac{7}{65}- \frac{13}{90} = \\ = \frac{130 \cdot 5}{93}-\frac{7}{65}- \frac{13}{90} = \frac{650}{93}-\frac{7}{65}- \frac{13}{90} =$
$= 6+\frac {92}{93}-\frac{7}{65}-\frac{13}{90} = 6+\frac {92 \cdot 65-7 \cdot 93} {93\cdot 65}-\frac{13}{90} =6+ \frac {5329}{6045}-\frac {13}{90} = \\ = 6+ \frac {5329 \cdot 90 - 13 \cdot 6045}{6045 \cdot 90} = 6 + \frac {401025}{6045 \cdot 90}= 6\frac {5347}{7254}$