Question

Решить ! 1)выполните действия: 30 4/5 - 1 2/5 *(1 4/5*(12 7/12 - 9 19/36)- 17/35*1 11/34=

Answer 1

$30\frac{4}{5}-1\frac{2}{5}\cdot(1\frac{4}{5}\cdot(12\frac{7}{12}-9\frac{19}{36}))-\frac{17}{35}\cdot1\frac{11}{34}=112\frac{2}{7}$

1) $12\frac{7}{12}-9\frac{19}{36}=\frac{151}{12}-\frac{343}{36}=\frac{453-343}{36}=\frac{110}{36}=\frac{55}{18}=3\frac{1}{18}$

2) $1\frac{4}{5}\cdot3\frac{1}{18}=\frac{9}{5}\cdot\frac{55}{18}=\frac{11}{2}=5,5$

3) $1\frac{2}{5}\cdot5,5=\frac{7}{5}\cdot5,5=1,4\cdot5,5=7,7$

4) $\frac{17}{35}\cdot1\frac{11}{34}=\frac{17}{35}\cdot\frac{45}{34}=\frac{9}{14}$

5) $30\frac{4}{5}-7,7=\frac{154}{5}-7,7=30,8-7,7=23,1$

6) $23,1-\frac{9}{14}=23\frac{1}{10}-\frac{9}{14}=\frac{231}{10}-\frac{9}{14}=\frac{1617-45}{70}=\frac{1572}{14}=\frac{786}{7}=112\frac{2}{7}$