Question

$frac{(49 frac{5 }{24} -46 frac{7}{20} {) div 2 frac{1}{3} + 0.6} }{0.2}$
Вычислите:

Answer 1

$frac{(49 frac{5 }{24} -46 frac{7}{20} {) div 2 frac{1}{3} + 0.6} }{0.2} = 9.125\ 1) : 49 frac{5}{24} - 46 frac{7}{20} = 49 frac{25}{120} - 46 frac{42}{120} = \ = 48 frac{145}{120} - 46 frac{42}{120} = 2 frac{103}{120} \ 2) : 2 frac{103}{120} div 2 frac{1}{3} = frac{343 times 3}{120 times 7} = frac{343 times 1}{40 times 7} = \ = frac{49}{40} = 1 frac{9}{40} \ 3) : 1 frac{9}{40} + 0.6 = 1 frac{9}{40} + frac{6}{10} = 1 frac{9}{40} + frac{24}{40} = \ = 1 frac{33}{40} \ 4) : 1 frac{33}{40} div 0.2 = 1 frac{33}{40} div frac{1}{5} = frac{73times 5}{40} = frac{73}{8} = \ = 9 frac{1}{8} = 9.125$