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malika51 @malika51

September 2021 1 10 Report

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

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nafanya2014

Verified answer

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

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