Question

(-7 1/3+6 7/8):3/4+(-5 1/4 +4 21/10 ):1 9/20

Answer 1

$( - 7 frac{1}{3} + 6 frac{7}{8} ) div frac{3}{4} + ( - 5 frac{1}{4} + 4 frac{21}{10} ) div 1 frac{9}{20} .$

решаем по действиям :

$1) - 7 frac{1}{3} + 6 frac{7}{8} = 6 frac{7}{8} - 7 frac{1}{3} = frac{55}{8} - frac{22}{3} =$

$= frac{165}{24} - frac{176}{24} = - frac{11}{24} .$

$2) - 5 frac{1}{4} + 4 frac{21}{10} = 4 frac{21}{10} - 5 frac{1}{4} = frac{61}{10} - frac{21}{4} =$

$= frac{122}{20} - frac{105}{20} = frac{17}{20} .$

$3) - frac{11}{24} div frac{3}{4} = - frac{11}{24} times frac{4}{3} = - frac{44}{72} = - frac{11}{18} .$

$4) frac{17}{20} div 1 frac{9}{20} = frac{17}{20} div frac{29}{20} = frac{17}{20} times frac{20}{29} = frac{340}{580} =$

$= frac{17}{29} .$

$5) - frac{11}{18} + frac{17}{29} = frac{17}{29} - frac{11}{18} = frac{306}{522} - frac{319}{522} =$

$= - frac{13}{522}.$

Ответ :

$- frac{13}{522} .$