Решите уравнение: 1) b + 5 \frac{9}{10} = 7 \frac{5}{12} 3) x - 2 \frac{8}{15} = 3 \frac{7}{12}

Пошаговое решение:

1. 1) b + 5 \frac{9}{10} = 7 \frac{5}{12}
   \( b = 7 \frac{5}{12} - 5 \frac{9}{10} \)
   \( b = \frac{89}{12} - \frac{59}{10} \)
   \( b = \frac{89 \cdot 5 - 59 \cdot 6}{60} \)
   \( b = \frac{445 - 354}{60} \)
   \( b = \frac{91}{60} = 1 \frac{31}{60} \)
2. 3) x - 2 \frac{8}{15} = 3 \frac{7}{12}
   \( x = 3 \frac{7}{12} + 2 \frac{8}{15} \)
   \( x = \frac{43}{12} + \frac{38}{15} \)
   \( x = \frac{43 \cdot 5 + 38 \cdot 4}{60} \)
   \( x = \frac{215 + 152}{60} \)
   \( x = \frac{367}{60} = 6 \frac{7}{60} \)