Question

решите пример 6,75:3+27/40•[( 6 7/12-3 17/36)•2,5-4 1/3:0,65]

Answer 1

$frac{6.75}{3} + frac{27}{40} times ((6 frac{7}{12} - 3 frac{17}{36} )2.5 - 4 frac{1}{3} div 0.65 )= 2.25 + frac{27}{40} (( frac{79}{12} - frac{125}{36} )2.5 - frac{13}{3} times frac{100}{65} )$
$= 2.25 + frac{27}{40} (( frac{237 - 125}{36} )2.5 - frac{1}{3} times 20 )= 2.25 + frac{27}{40} ( frac{112}{36} times frac{25}{10} - frac{20}{3} )$
$= 2.25 + frac{27}{40} ( frac{28}{9} times frac{5}{2} - frac{20}{3} ) = 2.25 + frac{27}{40} ( frac{70}{9} - frac{20}{3} ) = 2.25 + frac{27}{40} ( frac{70 - 60}{9} )$
$2.25 + frac{27}{40} ( frac{10}{9} )$=2.25+0.75=3
Ответ:3