Вычислите. (1/2-1/3)³:(1/3-1/4)²•(3/2)²

Question

Вычислите.

(1/2-1/3)³:(1/3-1/4)²•(3/2)²

Answer 1

1) 1/2 - 1/3 = 3/6 - 2/6 = 1/62) (1/6)^3 = 1/6 * 1/6 * 1/6 = 1/2163) 1/3 - 1/4 = 4/12 - 3/12 = 1/124) (1/12)^2 = 1/12 * 1/12 = 1/1445) (3/2)^2 = 3/2 * 3/2 = 9/46) 1/216 : 1/144 = 1/216 * 144/1 =144/216 = 2/37) 2/3 * 9/4 = (1*3)/(1*2) = 3/2 = 1 целая 1/2 = 1,5

Comments

1) 1/2 - 1/3 = 3/6 - 2/6 = 1/6
2) (1/6)^3 = 1/6 * 1/6 * 1/6 = 1/216
3) 1/3 - 1/4 = 4/12 - 3/12 = 1/12
4) (1/12)^2 = 1/12 * 1/12 = 1/144
5) (3/2)^2 = 3/2 * 3/2 = 9/4
6) 1/216 : 1/144 = 1/216 * 144/1 =144/216 = 2/3
7) 2/3 * 9/4 = (1*3)/(1*2) = 3/2 = 1 целая 1/2 = 1,5

Вот так понятнее)

Answer 2

Надеюсь, почерк понятен

---