№3 Образец: 1.1 1 12 5 = 15 24 153-2423-26 Решите: 1. 10.3 15 4 2. 11.4 16 55 3. 9.5 10 27 4. 13.50 100 13 5. 21.64 32 7

Решим примеры:

1. $$1.\ \frac{10}{15} : \frac{3}{4} = \frac{10}{15} \cdot \frac{4}{3} = \frac{10 \cdot 4}{15 \cdot 3} = \frac{2 \cdot 4}{3 \cdot 3} = \frac{8}{9}$$
2. $$2.\ \frac{11}{16} : \frac{4}{55} = \frac{11}{16} \cdot \frac{55}{4} = \frac{11 \cdot 55}{16 \cdot 4} = \frac{605}{64} = 9\frac{29}{64}$$
3. $$3.\ \frac{9}{10} : \frac{5}{27} = \frac{9}{10} \cdot \frac{27}{5} = \frac{9 \cdot 27}{10 \cdot 5} = \frac{243}{50} = 4\frac{43}{50}$$
4. $$4.\ \frac{13}{100} : \frac{50}{13} = \frac{13}{100} \cdot \frac{13}{50} = \frac{13 \cdot 13}{100 \cdot 50} = \frac{169}{5000}$$
5. $$5.\ \frac{21}{32} : \frac{64}{7} = \frac{21}{32} \cdot \frac{7}{64} = \frac{21 \cdot 7}{32 \cdot 64} = \frac{147}{2048}$$

Ответ:

1. $$\frac{8}{9}$$
2. $$9\frac{29}{64}$$
3. $$4\frac{43}{50}$$
4. $$\frac{169}{5000}$$
5. $$\frac{147}{2048}$$