(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
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