Решите уравнение (4.118-4.119). 4.118. 1) 12,2-m=7 2/3 3) 3 3/5 : x = 1,44; 2) y + 3 2/3 = 4,375; 4) y : 1,125 = 1 2/25 = 1

Задание 4.118

1. \[12.2 - m = 7\frac{2}{3}\] \[12.2 - m = \frac{23}{3}\] \[\frac{122}{10} - m = \frac{23}{3}\] \[m = \frac{122}{10} - \frac{23}{3}\] \[m = \frac{366 - 230}{30}\] \[m = \frac{136}{30} = \frac{68}{15} = 4\frac{8}{15}\]
2. \[y + 3\frac{2}{3} = 4.375\] \[y + \frac{11}{3} = \frac{4375}{1000}\] \[y + \frac{11}{3} = \frac{35}{8}\] \[y = \frac{35}{8} - \frac{11}{3}\] \[y = \frac{105 - 88}{24}\] \[y = \frac{17}{24}\]
3. \[3\frac{3}{5} : x = 1.44\] \[\frac{18}{5} : x = \frac{144}{100}\] \[\frac{18}{5} : x = \frac{36}{25}\] \[x = \frac{18}{5} : \frac{36}{25}\] \[x = \frac{18}{5} \cdot \frac{25}{36}\] \[x = \frac{1}{1} \cdot \frac{5}{2} = \frac{5}{2} = 2.5\]
4. \[y : 1.125 = 1\frac{2}{25}\] \[y : \frac{1125}{1000} = \frac{27}{25}\] \[y : \frac{9}{8} = \frac{27}{25}\] \[y = \frac{27}{25} \cdot \frac{9}{8}\] \[y = \frac{243}{200} = 1\frac{43}{200}\]

Ответ: 1) 4 8/15; 2) 17/24; 3) 2.5; 4) 1 43/200