5. Вычислите произведение чисел. 1) 2\frac{1}{2}\cdot 6= 2) 3\frac{7}{5}\cdot 5= 3) 3\frac{1}{2}\cdot 2\frac{2}{7}= 4) 14\frac{5}{24}\cdot 3\frac{2}{12}.

1) $$2\frac{1}{2}\cdot 6 = \frac{5}{2}\cdot 6 = \frac{5 \cdot 6}{2} = 5 \cdot 3 = 15$$ 2) $$3\frac{7}{5}\cdot 5 = \frac{22}{5}\cdot 5 = 22$$ 3) $$3\frac{1}{2}\cdot 2\frac{2}{7} = \frac{7}{2}\cdot \frac{16}{7} = \frac{7 \cdot 16}{2 \cdot 7} = \frac{16}{2} = 8$$ 4) $$14\frac{5}{24}\cdot 3\frac{2}{12}=14\frac{5}{24}\cdot 3\frac{1}{6} = \frac{341}{24} \cdot \frac{19}{6} = \frac{341 \cdot 19}{24 \cdot 6} = \frac{6479}{144} = 45 \frac{alert}{144}$$ Ответ: 1) 15; 2) 22; 3) 8; 4) 45$$\frac{59}{144}$$