Question

Вичислите наиболее удобным способом. А) 8/9+14/27+1/9 б) (3/17+8/102)+14/17 в) (1/33+311)+2/11 г) 2/5+(1/20+4/5) СРОЧНО!!

Answer 1

а) $frac{24}{27}+ frac{14}{27}+ frac{3}{27}= frac{41}{27} = 1 frac{14}{27}$
б) $( frac{18}{102} + frac{8}{102})+ frac{84}{102}= frac{26}{102}+ frac{84}{102}= frac{110}{102} = 1 frac{8}{102}=1 frac{4}{51}$
в) $311 frac{1}{33}+ frac{2}{11} = 311 frac{1}{33}+ frac{6}{33}=311 frac{7}{33}$
г) $frac{2}{5}+( frac{1}{20}+ frac{16}{20} )= frac{8}{20}+ frac{17}{20}= frac{25}{20}=1 frac{5}{20}=1 frac{1}{4}$

Answer 2

а)

$frac{8}{9} + frac{14}{27} + frac{1}{9} = frac{8 + 1}{9} + frac{14}{27} = 1 + frac{14}{27} = 1 frac{14}{27}$

б)
$( frac{3}{17} + frac{8}{102} ) + frac{14}{17} = frac{3 + 14}{17} + frac{8}{102} = 1 + frac{4}{51} = 1 frac{4}{51}$

в)
$( frac{1}{33} + 311) + frac{2}{11} = 311 frac{1 + 2 times 3}{11 times 3} = 311 frac{7}{33}$
или
$( frac{1}{ 33} + frac{3}{11} ) + frac{2}{11} = frac{1}{33} + frac{3 + 2}{11} = frac{1}{33} + frac{5}{11} = frac{1 + 5 times 3}{33} = frac{16}{33}$

г)

$frac{2}{5} + ( frac{1}{20} + frac{4}{5} ) = frac{2 + 4}{5} + frac{1}{20} = frac{6}{5} + frac{1}{20} = 1 frac{1}{5} + frac{1}{20} = 1 frac{4 + 1}{20} = 1 frac{5}{20} = 1 frac{1}{4}$