Question

Вычислить:
17, 2/3+4, 3/8-19, 5/9-(6, 1/36-5,3/16)=

Answer 1

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$17frac{2}{3}+4frac{3}{8}-19 frac{5}{9} -(6 frac{1}{36} -5 frac{3}{16} ) = frac{53}{3} + frac{35}{8} - frac{176}{9}- frac{217}{36} + frac{83}{16}$
$frac{83}{16} + frac{35}{8} = frac{83}{16} + frac{35*2}{8*2} = frac{153}{16}$
$frac{153}{16} + frac{53}{3} = frac{153*3}{16*3} + frac{53*16}{3*16} = frac{1307}{48}$
$- frac{217}{36} - frac{176}{9} =- frac{217}{36} - frac{176*4}{9*4} =- frac{921}{36}$
$frac{921}{36}|:3 = frac{307}{12}$
$frac{1307}{48} - frac{307}{12} = frac{1307}{48} - frac{307*4}{12*4} = frac{79}{48} =1 frac{31}{48}$