Вычислите (3/8 - 7/12)*3,6 +(5/18+2/27): 1 11/27

energy428 energy428    1   21.05.2019 09:10    1

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simkinaalinoschka simkinaalinoschka  15.06.2020 10:18
Задание: вычислить
(\frac{3}{8} - \frac{7}{12})*3,6 +( \frac{5}{18} + \frac{2}{27}):1 \frac{11}{27} = -0,5

1) \frac{3}{8} - \frac{7}{12} = \frac{3*3}{3*8} - \frac{2*7}{2*12} = \frac{9}{24} - \frac{14}{24} = - \frac{5}{24}
2) - \frac{5}{24}*3,6=- \frac{5}{24}* \frac{36}{10}=- \frac{5}{24}*\frac{18}{5} = - \frac{5*18}{24*5} = - \frac{18}{24}= - \frac{3}{4}

3) \frac{5}{18} + \frac{2}{27} = \frac{3*5}{3*18} + \frac{2*2}{2*27} = \frac{15}{54} + \frac{4}{54}= \frac{19}{54}
4) \frac{19}{54}: 1 \frac{11}{27} = \frac{19}{54}:\frac{38}{27} = \frac{19*27}{54*38} = \frac{1*1}{2*2}= \frac{1}{4}

5)- \frac{3}{4}+\frac{1}{4} = \frac{-3+1}{4} = - \frac{2}{4} = - \frac{1}{2} = -0,5
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