Question

1/3x+1//2=0,2+0,1333 sendo x o número decimal

Answer 1

O SEGREDO DESSA QUESTAO É TRANSFORMAR OS DECIMAIS EM FRAÇÃO

0,13333 = 12/90
0,2 = 1/5

1/3X - 1/2 = 1/5 + 12/90
1/3X = 1/5 +1/2 + 2/15
1/3X = 7/10 + 2/15
1/3X = 21/30 + 4/30
1/3X = 25/30
1/3X= 5/6
15X = 6
X= 6/15

Answer 2

Olá Leonardo

0.13333... = 0.1 + 0.0333...

x = 0.0333...
100x = 3.333...
1000x = 33.333..
900x = 30
x = 30/900 = 1/30

0.1333.. = 1/10 + 1/30 = 2/15 

0.2 = 2/10 = 1/5

x/3 + 1/2 = 1/5 + 2/15

x/3 + 1/2 = 5/15 = 1/3 

mmc(2,3) = 6

2x + 3 = 2

2x = -1

x = -1/2