1. Упрости отношения: a) 24: 84; 6) 15:9/20: B) 17:22: r) 10,4ab: 1,3a. 9 27

1. Упрости отношения:

1. a) 24 : 84 = $$\frac{24}{84} = \frac{6 \cdot 4}{6 \cdot 14} = \frac{2 \cdot 2}{2 \cdot 7} = \frac{2}{7}$$
2. б) $$15 : \frac{9}{20} = \frac{15}{1} : \frac{9}{20} = \frac{15}{1} \cdot \frac{20}{9} = \frac{5 \cdot 3}{1} \cdot \frac{20}{3 \cdot 3} = \frac{5}{1} \cdot \frac{20}{3} = \frac{100}{3} = 33\frac{1}{3}$$
3. в) $$7\frac{1}{9} : 2\frac{2}{27} = \frac{7 \cdot 9 + 1}{9} : \frac{2 \cdot 27 + 2}{27} = \frac{64}{9} : \frac{56}{27} = \frac{64}{9} \cdot \frac{27}{56} = \frac{8 \cdot 8}{9} \cdot \frac{9 \cdot 3}{8 \cdot 7} = \frac{8}{1} \cdot \frac{3}{7} = \frac{24}{7} = 3\frac{3}{7}$$
4. г) $$10,4ab : 1,3a = \frac{10,4ab}{1,3a} = \frac{10,4}{1,3} \cdot \frac{ab}{a} = 8b$$

Ответ:

1. a) $$\frac{2}{7}$$
2. б) $$33\frac{1}{3}$$
3. в) $$3\frac{3}{7}$$
4. г) $$8b$$