Răspuns:
Explicație pas cu pas:
0,25 = 25/100 = 1/4
0,(3) = 3/9 = 1/3
0,5 = 5/10 = 1/2
4a = 3b = 2c = k
a = k/4
b = k/3
c = k/2
2a + b + 4c = 2*k/4 + k/3 + 4*k/2 = k/2 + k/3 + 4k/2 = 5k/2 + k/3 = 15k/6 + 2k/6 = 17k/6
b + 2c + a = k/3 + 2*k/2 + k/4 = 4k/12 + 12k/12 + 3k/12 = 19k/12
(2a + b + 4c)/(b + 2c + a) = 17k/6 : 19k/12 = 17k/6*12/9k = 34/9
