Question

a) 1,(6) [2,5 - 3,75 : 4,1(6)];
c) [0,8(3). 0,75 -0,(3)]: 3,5;
b) 2,(3): [2,1(3) - 2,25 - 1,3);
d) [2,(6) + 0,2(7): 1,25]: 6,5​

Answer 1

Răspuns:

A) 1,(6) [2,5 - 3,75 : 4,1(6)]=

15/9[25/10-375/100:(416-41)/90]=

5/3[(5/2-15/4×90/375)]=

5/3×(5/2-11/4×6/25)=

5/3×(5/2-33/50) =

5/3×125-33/50=

5/3×92/50=

46/15

c) [0,8(3)×0,75 -0,(3)]: 3,5=

[(83-8)/90×75/100-3/9)]:35/10=

(75/90×75/100-1/3)×10/35=

(5/6×3/4-1/3)×2/7=

(15/24-1/3)×2/7=

(5/8-1/3)×2/7=

(15/24-8/24)×2/7=

7/24×2/7=

1/12

b) 2,(3): [2,1(3) - 2,25 - 1,3)=

(23-2)/9:[(213-21/90-225/100-13/10)]=

21/9:[(192/90-9/4-13/10)]=

7/3:(32/15-9/4-13/10)=

7/3:(128/60-135/60-78/60)=

7/3: (128-135-78)/60=

7/3: - 85/60=

7/3× - 17/12=

-28/17

d) [2,(6) + 0,2(7): 1,25]: 6,5=

[24/9+25/90:125/100]:65/10=

(8/3+5/18×4/5)×10/65=

(8/3+2/9)×2/13=

(24/9+2/9)×2/13=

26/9×2/13=

4/9

Explicație pas cu pas: