Răspuns:
Explicație pas cu pas:
- [0,4 + 0,(8) ] × ( - 2 1/4) : 0,(1) =26,1
0,4 = (4/10)
⁽² = (4:2)/(10:2) = 2/5
0,(8) = 8/9
2 intregi si 1/4 = (2×4+1)/4 = 9/4
0,(1) = 1/9
______________________
= ( 2/5 + 8/9) × (9/4) : 1/9 =
-> aduc fractiile 2/5 si 8/9 la acelasi numitor, afland c.m.m.m.c al numitorilor 5 x 9 = 45;
-> amplific fractia 2/5 cu 9 = (2×9)/(5×9)=18/45
-> amplific fractia 8/9 cu 5 = (8×5)/(9×5) = 40/45
= (18/45 + 40/45) × (9/4) × 9/1 =
= (58/45) × 81/4 =
= (58/4) × (81/45) =
= (29/2 ) × 9/5 =
= 261/10 =
= 26,1
______________________________________________________
_______________________________________________________
- [ ( 1 2/3 - 3 1/3 ) × 2,4 ] / [(16,5 + 5,5) :2 1/2]= - 5/11
1 intreg si 2/3 = ( 1×3+2)/3 = 5/3
3 intregi si 1/3 = (3×3+1)/3 = 10/3
2,4 = 24/10 = 12/5 -> am simplificat fractia 24/10 cu 2
16,5 + 5,5 = 22
2 intregi si 1/2 = (2×2+1)/2 = 5/2
________________________
= [ (5/3 - 10/3 ) × 12/5] / (22:5/2) =
= [ ( - 5/3) × 12/5] / (22×2/5) =
-> se simplifica 5 cu 5, iar 12/3 = 4
= (- 4) : 44/5 =
= ( - 4) × 5/44 =
= - 5/11
