2.523 Сравните значения выражения 1 1/13 с при с = 1; с = 2/13; с = 1/7; с = 14/9.

Выражение: $$1\frac{1}{13} \cdot c$$

1) при $$c = 1$$: $$1\frac{1}{13} \cdot 1 = 1\frac{1}{13}$$

2) при $$c = \frac{2}{13}$$: $$1\frac{1}{13} \cdot \frac{2}{13} = \frac{14}{13} \cdot \frac{2}{13} = \frac{28}{169}$$

3) при $$c = \frac{1}{7}$$: $$1\frac{1}{13} \cdot \frac{1}{7} = \frac{14}{13} \cdot \frac{1}{7} = \frac{14}{91} = \frac{2}{13}$$

4) при $$c = \frac{14}{9}$$: $$1\frac{1}{13} \cdot \frac{14}{9} = \frac{14}{13} \cdot \frac{14}{9} = \frac{196}{117} = 1\frac{79}{117}$$

Ответ: 1) 1 1/13; 2) 28/169; 3) 2/13; 4) 1 79/117