Question

(PUC-RJ) A soma de 2,666... + 4,13333 é
29/5
31/5
34/5
35/4

Answer 1

Ola Julio

2.666... = 2 + 0.666...

x = 0.666...
10x = 6.666...
9x = 6
x = 6/9 = 2/3 

2 + 2/3 = 8/3 

4.1333... = 4 + 1/10 + 0.0333..

10x = 0.333...
100x = 3.333..
90x = 3
x = 3/90 = 1/30 

4 + 1/10 + 1/30

4 + 3/30 + 1/30 = 4 + 4/30 = 4 + 2/15 = 62/15 

8/3 + 62/15

40/15 + 62/15 = 102/15 = 34/5 

.