Question

(35/36-5/8)-(17/18-7/9)-5/72

Answer 1

$( frac{35}{36}- frac{5}{8})-( frac{17}{18} - frac{7}{9})- frac{5}{72}$
По действиям:
$1)frac{35}{36}- frac{5}{8}=frac{35cdot 2}{36cdot 2}- frac{5cdot 9}{8cdot 9}= frac{70}{72}-frac{45}{72}= frac{70-45}{72}= frac{25}{72} \ \ 2) frac{17}{18} - frac{7}{9}= frac{17}{18} - frac{7cdot 2}{9cdot 2}= frac{17}{18} - frac{14}{18}=frac{17-14}{18}= frac{3}{18}= frac{1}{6} \ \ 3) frac{25}{72} - frac{1}{6} -frac{5}{72}= frac{25}{72} - frac{12}{72} -frac{5}{72}= frac{25-12-5}{72} =frac{8}{72}=frac{1}{9}$
Ответ. $( frac{35}{36}- frac{5}{8})-( frac{17}{18} - frac{7}{9})- frac{5}{72}= frac{1}{9}$