Question

вычислите действие 100:14 826+5 1826-6 15-2 35:18

Answer 1

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