Вопрос:

Решите уравнения: 1) b + 5 9/10 = 7 5/12; 2) a − 3 7/15 = 4 11/20; 3) x − 2 8/15 = 3 7/12; 4) y + 4 7/10 = 5 8/15.

Ответ:

  1. \(b=7\dfrac{5}{12}-5\dfrac{9}{10}=\dfrac{89}{12}-\dfrac{59}{10}=\dfrac{151}{60}=2\dfrac{31}{60}\).
  2. \(a=4\dfrac{11}{20}+3\dfrac{7}{15}=\dfrac{91}{20}+\dfrac{52}{15}=\dfrac{533}{60}=8\dfrac{53}{60}\).
  3. \(x=3\dfrac{7}{12}+2\dfrac{8}{15}=\dfrac{43}{12}+\dfrac{38}{15}=\dfrac{329}{60}=5\dfrac{29}{60}\).
  4. \(y=5\dfrac{8}{15}-4\dfrac{7}{10}=\dfrac{83}{15}-\dfrac{47}{10}=\dfrac{71}{30}=2\dfrac{11}{30}\).

Ответ: 1) \(b=2\dfrac{31}{60}\); 2) \(a=8\dfrac{53}{60}\); 3) \(x=5\dfrac{29}{60}\); 4) \(y=2\dfrac{11}{30}\).