Ответ:
\(5\frac{2}{15} - 2\frac{7}{12} = \frac{5 \times 15 + 2}{15} - \frac{2 \times 12 + 7}{12} = \frac{77}{15} - \frac{31}{12}\)
Приводим к общему знаменателю 60:
\(\frac{77}{15} = \frac{77 \times 4}{15 \times 4} = \frac{308}{60}\)
\(\frac{31}{12} = \frac{31 \times 5}{12 \times 5} = \frac{155}{60}\)
\(\frac{308}{60} - \frac{155}{60} = \frac{308-155}{60} = \frac{153}{60}\)
\(\frac{153}{60} = \frac{51}{20} = 2\frac{11}{20}\)
Ответ: \(2\frac{11}{20}\).
