Question

Rezultatul calculului( 7/6 + 2/3- 5/12) × ( 1 intreg 5/12) la puterea -1
Ofer coroană

Answer 1

(7/6+2/3-5/12)×(1 5/12)⁻¹=

=(14/12+8/12-5/12)×(17/12)⁻¹=

=(22/12-5/12)×12/17=

=17/12×12/7=1

Answer 2

Răspuns:

= 1

Explicație pas cu pas:

( 7/6 + 2/3- 5/12) × ( 1 intreg 5/12)⁻¹ = ?

1 intreg 5/12 = (1·12 + 5)/12 = 17/12

( 1 intreg 5/12)⁻¹ = (17/12)⁻¹ = 12/17

²⁾7/6 + ⁴⁾2/3- 5/12 = (2·7+4·2-5)/12 = (14+8-5)/12 = 17/12

( 7/6 + 2/3- 5/12) × ( 1 intreg 5/12)⁻¹ = 17/12 × 12/17  =

= (17 × 12) : (12 × 17) = 1