Question

O valor da expressão y=0,77777... + 1,255555..., É igual a:
a) 7/9
b)59/30
c)61/30
d)125/9
e)183/2

Answer 1

y= 0,777... = 1,2555...

0,777= 7/9    1,2555= 113/90
y= 7/9 + 113/90
y=70/90 + 113/90
y= 61/30
 
Alternativa c

Answer 2

0,777.. ⇒ _7_
                  9
1,25555... = 1 + 0,25555... = 1 + _25 - 2_ = 1 + _23_ = _113_
                                                         90                90          90
_7_ + _113_ = _70 + 113_ = 183_ = _61_
 9          90             90             90         30
Resposta: alternativa c)