Решите пример по действиям, расписывая. ДАМ 88 БАЛЛОВ МАТЕМАТИКА/ 5 Класс. Created by YaNeZnayKtoYa. matematika-ru

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5 Класс...

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Ответ:

$2\frac{2}{3}$

Пошаговое объяснение:

Решение:

$(10\frac{3}{4}-12:1\frac{1}{5})*\frac{4}{9}+2\frac{1}{6}+3\frac{1}{4}:5\frac{1}{5}$

1) $12:1\frac{1}{5}=12:\frac{1*5+1}{5}=12:\frac{5+1}{5}=12:\frac{6}{5}=\frac{5}{5}:\frac{6}{5}=\frac{5*5}{5*6}=\frac{25}{30}$

2) $10\frac{3}{4}-\frac{25}{30}=\frac{10*4+3}{4}-\frac{25}{30}=\frac{40+3}{4}-\frac{25}{30}=\frac{43}{4}-\frac{25}{30}=\frac{43}{4}-\frac{25:5}{30:5}=\frac{43}{4}-\frac{5}{6}=\frac{43*6}{4*6}-\frac{5*4}{6*4}=\frac{258}{24}-\frac{20}{24}=\frac{238}{24}$

3) $\frac{238}{24}*\frac{4}{9}=\frac{238*4}{24*9}=\frac{952}{216}$

4) $\frac{952}{216}+2\frac{1}{6}=\frac{952}{216}+\frac{2*6+1}{6}=\frac{952}{216}+\frac{12+1}{6}=\frac{952}{216}+\frac{13}{6}=\frac{952}{216}+\frac{13*36}{6*36}=\frac{952}{216}+ \frac{468}{216}=\frac{952+468}{216}=\frac{1420}{216}$

5) $\frac{1420}{216}+3\frac{1}{4}=\frac{1420}{216}+\frac{3*4+1}{4}=\frac{1420}{216}+\frac{12+1}{4}=\frac{1420}{216}+\frac{13}{4}=\frac{1420}{216}+\frac{13*54}{4*54}=\frac{1420}{216}+\frac{702}{216}=\frac{1420}{216}+\frac{702}{216}=\frac{2122}{216}$

6) $\frac{2122}{216}:5\frac{1}{5}=\frac{2122}{216}:\frac{5*5+1}{5}=\frac{2122}{216}:\frac{25+1}{5}=\frac{2122}{216}:\frac{26}{5}=\frac{2122*5}{216*5}:\frac{26*216}{5*216}=\frac{10610}{1080}:\frac{5616}{1080}=\frac{10610*1080}{1080*5616}=\frac{11458800}{6065280}=\frac{11458800:58320}{6065280:58320}=\frac{104}{39}=2\frac{26}{39}=2\frac{26:13}{39:13}=2\frac{2}{3}$

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