Д) $$(7,42·\frac{5}{9}-(-11,48):1\frac{4}{5}):0,35$$

Д) Выполним действия:

1) $$7,42 \cdot \frac{5}{9} = \frac{742}{100} \cdot \frac{5}{9} = \frac{371}{50} \cdot \frac{5}{9} = \frac{371}{10} \cdot \frac{1}{9} = \frac{371}{90}$$

2) $$1\frac{4}{5} = \frac{1 \cdot 5 + 4}{5} = \frac{9}{5}$$

3) $$-11,48 : \frac{9}{5} = -\frac{1148}{100} : \frac{9}{5} = -\frac{287}{25} \cdot \frac{5}{9} = -\frac{287}{5} \cdot \frac{1}{9} = -\frac{287}{45}$$

4) $$\frac{371}{90} - \left(-\frac{287}{45}\right) = \frac{371}{90} + \frac{287}{45} = \frac{371}{90} + \frac{287 \cdot 2}{45 \cdot 2} = \frac{371}{90} + \frac{574}{90} = \frac{945}{90} = \frac{105}{10} = 10,5$$

5) $$0,35 = \frac{35}{100} = \frac{7}{20}$$

6) $$10,5 : 0,35 = \frac{105}{10} : \frac{7}{20} = \frac{21}{2} \cdot \frac{20}{7} = 3 \cdot 10 = 30$$

Ответ: 30