Question

Aflați x din proportiile :
a) x/3=2/1
b) 0,(3)/x=0,1(3)/1,0(6)

Answer 1

a) x/3 = 2/1
   x = 6
b) 0,(3)/x = 0,1(3) / 1,0(6)
0,(3) = 3/9 = 1/3
0,1(3) = 13-1/90 = 12/90 = 6/45
1,0(6) = 106-10/90 = 96/90 = 48/45
1/3 / x = 6/45 / 48/45
6/45x = 16/45
x = 16/45 : 6/45
x = 16/45 x 6/45
x = 8/3

Answer 2

a) x/3=2/1
x·1=2·3
x=6

b)0,(3)=3/9=simplif=1/3
0,1(3)=(13-1)/90=12/90=simplif.cu 3=4/30=simplif.cu 2=2/15
1,0(6)=(106-10)/90=96/90=48/45=16/15
1/3:x=2/15:16/15
1/3·1/x=2/15·15/16 simplif cu 15 si 2
1/3x=1/8
8·1=1·3x
8=3x
sau 3x=8
x=8/3