Răspuns:
Explicație pas cu pas:
0,25 = 25/100 = 1/4
0,1(6) = (16 - 1)/90 = 15/90 = 1/6
0,(09) = 9/99 = 1/11
4a = 6b = 11c
b = 4a/6 = 2a/3
c = 4a/11
8a + 4b - 3c = 52
8a + 8a/3 - 12a/11 = 52
264a/33 + 88a/33 - 36a/33 = 52
316a/33 = 52
316a = 52*33
a = 52*33/316 = 13*33/79 = 429/79
b = 2*429/3*79 = 286/79
c = 4*429/11*79 = 156/79
