Question

calculați raportul:

a) 2,5 & 3,25

b) 0,3 & 0,(3)

c) 0,2(6) & 2,(8)

d) 1,25 & 2,1(3)

Answer 1

a) 2,5/3,25=5/2/23/4=5/2:13/4=5/2×4/13=5×2/1×12=10/13
asa am rezolvat
2,5=25/10 care se simplifica prin 5=5/2
3,25=325/100 care se simplifica prin 25=13/4
5/2×4/13 pe diagonala 2 cu 4 se simplifica. unde e 2 ramane 1 si unde e 4 ramane 2=5/1×2/13=5×2/1×13

 b)0,3/0,(3)=3/10/1/3=3/10:1/3=3/10×3/1=3×3/1×10=9/10
asa am rezolvat
0,3=3/10
0,(3)=3/9 care se simplifica cu 3=1/3

c)0,2(6)/2,(8)=4/15/26/9=4/15:26/9=4/15×9/26=1/15×9/6=1/15×3/2=1/5×1/2=1×1/5×2/1/10=0,1
asa am rezolvat
0,2(6)=26-2/90=24/90care se simplifica cu 6=4/15
2,(8)=28-2/9=26/9
4/15×9/26 pe diagonala 4 cu 26 se simplifica. in loc de 4 scriu 1 si in locv de 26 scriu 6=1/15×9/6
9/6 se simplifica cu 3=3/2
1/15×3/2 pe diagonala 15 cu 3 se spmplifica .in loc de 3 ramane 1 si in loc de 15 ramane 5=1/5×1/2

d)1,25/2,1(3)=5/4/32/15=5/4:32/15=5/4×15/32=5×15/32×4=75/128
asa am rezolvat
1,25=125/100 care se simplifica cu 25=5/4
2,1(3)=213-21/90=192/90care se simplifica cu 2=96/45care se simplifica cu 3=32/15