Răspuns :
0,(3) = 3/9 = 1/3
0,2 = 2/10 = 1/5
6/(1/1/3) = x/(1/1/5)
6×1/3 = x×1/5
6/3 = x/5
2 = x/5
x = 2×5
x = 10
Răspuns: x = 10
Explicație pas cu pas:
[6; x ] i.p. [ 0,(3); 0,2]
=> 6/[1/0,(3)] = x/(1/0,2) = k -> coeficient de proportionalitate
1 : 0,(3) = 1 : (3/9) = 1 × 9/3 = 3
1 : 0,2 = 1 : 2/10 = 1 × 10/2 = 5
=> 6/3 = x/5 = k
6/3 = k => k = 2
x /5 = 2 => x = 5 × 2 => x = 10