1. Выполните действие: 5 12 а) — ⋅ — ; 16 25 1 1 б) 1— ⋅ 1—; 3 8 3 11 в) 3— ⋅ 1—; 5 24 5 г) 6 ⋅ 4—.

Ответ:

а) \[\frac{5}{16} \cdot \frac{12}{25} = \frac{5 \cdot 12}{16 \cdot 25} = \frac{60}{400} = \frac{3}{20}\]

б) \(1\frac{1}{3} \cdot 1\frac{1}{8} = \frac{4}{3} \cdot \frac{9}{8} = \frac{4 \cdot 9}{3 \cdot 8} = \frac{36}{24} = \frac{3}{2} = 1\frac{1}{2}\)

в) \(3\frac{3}{5} \cdot 1\frac{11}{24} = \frac{18}{5} \cdot \frac{35}{24} = \frac{18 \cdot 35}{5 \cdot 24} = \frac{630}{120} = \frac{21}{4} = 5\frac{1}{4}\)

г) \(6 \cdot 4\frac{5}{12} = 6 \cdot \frac{48+5}{12} = 6 \cdot \frac{53}{12} = \frac{6 \cdot 53}{12} = \frac{318}{12} = \frac{53}{2} = 26\frac{1}{2}\)

Ответ: