1. Решите уравнение a :1\frac{5}{8}= 2\frac{7}{9}:1\frac{29}{36}.

Решим уравнение:

$$a :1\frac{5}{8}= 2\frac{7}{9}:1\frac{29}{36}$$

$$a :\frac{13}{8}= \frac{25}{9}:\frac{65}{36}$$

$$a :\frac{13}{8}= \frac{25}{9} \cdot \frac{36}{65}$$

$$a :\frac{13}{8}= \frac{5}{1} \cdot \frac{4}{13}$$

$$a :\frac{13}{8}= \frac{20}{13}$$

$$a =\frac{20}{13} \cdot \frac{13}{8}$$

$$a =\frac{5}{2}$$

$$a =2\frac{1}{2}$$

Ответ: 2,5