Question

розвяжіть 1.34, застосовуючи спосіб групування. весь розвязок напишіть будь ласка

Answer 1

$[74.7* frac{2}{21}+(-105.3)*2 frac{3}{7}-(-105.3)* frac{2}{21} -2 frac{3}{7}*74.7 ]:10=$
$=[74.7* frac{2}{21}-2 frac{3}{7}*74.7 +(-105.3)*2 frac{3}{7}-(-105.3)* frac{2}{21} ]:10=$
$=[74.7* (frac{2}{21}-2 frac{3}{7}) +(-105.3)*(2 frac{3}{7}- frac{2}{21} )]:10=$
$=[74.7* (frac{2}{21}-2 frac{3}{7}) +105.3*(-1)*(2 frac{3}{7}- frac{2}{21} )]:10=$
$=[74.7* (frac{2}{21}-2 frac{3}{7}) +105.3*( frac{2}{21} -2 frac{3}{7} )]:10=$
$=[(74.7+105.3) (frac{2}{21}-2 frac{3}{7})]:10 =[180*(frac{2}{21}-2 frac{3}{7})]:10=$
$= frac{10*18*(frac{2}{21}-2 frac{3}{7})}{10*1} = frac{18*(frac{2}{21}-2 frac{3}{7})}{1} =18*(frac{2}{21}-2 frac{3}{7})=$
$=18*(frac{2}{21}-frac{2*7+3}{7})=18*(frac{2}{21}-frac{17}{7})= 18*(frac{2}{21}-frac{17*3}{7*3})=$
$=18*(frac{2}{21}-frac{51}{21})=18* frac{2-51}{21} =18* frac{-49}{21}=- frac{18*49}{21}=- frac{3*6*7*7}{3*7*1}=$
$=- frac{6*7}{1} =-6*7=-42$