ислите устно: (5금) + 3. (5금) · (3월) + 3. (5元)·(3) + (3음). 15 15

Решим пример по действиям:

1) \(\frac{5}{15} \)+ 3 ⋅ \(\frac{5}{15} \) ⋅ \(\frac{8}{15} \)+ 3 ⋅ \(\frac{5}{15} \) ⋅ \(\frac{8}{15} \)+ \((\frac{8}{15})^3\)

2) 3 ⋅ \(\frac{5}{15} \) ⋅ \(\frac{8}{15} \) = 3 ⋅ \(\frac{40}{225} \) = \(\frac{120}{225} \) = \(\frac{8}{15} \)

3) \((\frac{8}{15})^3\) = \(\frac{8}{15} \) ⋅ \(\frac{8}{15} \) ⋅ \(\frac{8}{15} \) = \(\frac{512}{3375} \)

4) \(\frac{5}{15} \)+ \(\frac{8}{15} \)+ \(\frac{8}{15} \)+ \(\frac{512}{3375} \)

5) \(\frac{5}{15} \)+ \(\frac{8}{15} \)+ \(\frac{8}{15} \) = \(\frac{21}{15} \) = \(\frac{7}{5} \)

6) \(\frac{7}{5} \)+ \(\frac{512}{3375} \) = \(\frac{4725}{3375} \) + \(\frac{512}{3375} \) = \(\frac{5237}{3375} \) = 1 \(\frac{1862}{3375} \)

Ответ: \(\frac{5237}{3375} \) = 1 \(\frac{1862}{3375} \)