Question

Помогите пожалуйста решить 1 7/20:2,75+1,35:2 3/4+(0,49:2 1/3):(4,89-1 17/19)

Answer 1

$1 frac{7}{20} : 2,75 + 1,35 : 2 frac{3}{4} + (0,49 : 2 frac{1}{3} ) :(4,89 - 1 frac{17}{19} ) =1frac{774}{14905}$

$1) 0,49 : 2 frac{1}{3} = frac{49}{100} * frac{3}{7} = frac{7*3}{100*1} = frac{21}{100} =0,21 \ \ 2) 4,89 - 1 frac{17}{19} = frac{489}{100} - frac{36}{19} = frac{9291-3600}{1900} = frac{5691}{1900} = 2 frac{1891}{1900} \ \ 3) 1 frac{7}{20} : 2,75 = frac{27}{20} * frac{100}{275} = frac{27}{20} * frac{4}{11} = frac{27*1}{5*11} = frac{27}{55}$
$4) 1,35 : 2 frac{3}{4} = frac{135}{100} * frac{4}{11} = frac{27}{20} * frac{4}{11} = frac{27*1}{5*11} = frac{27}{55}$

$5)0,21 : 2 frac{1891}{1900}= 0,21: frac{5691}{1900}= frac{21}{100} * frac{1900}{5691} = frac{1*19}{1*271} = frac{19}{271} \ \ 6) frac{27}{55}+ frac{27}{55} = frac{27+27}{55} = frac{54}{55} \ \ 7) frac{54}{55} + frac{19}{271} = frac{54*271+19*55}{14905} = frac{14634+1045}{14905} = frac{15679}{14905}= 1 frac{774}{14905}$