Question

sendo a= 0,555...+ 0,111... e b =0,2 + 0,04, entao o valor do quociente B/A e (RESOLVA) (A)25/9 (B)3,6 (C)17/5 (D)0,36

Answer 1

x=0,555.. => 10x=5,555 => 10x-x= 5,55..-0,555= 9x=5=>x =5/9
y=0,111..=> 10y=1,111..=>10y-y=1,11..-0,111 => 9y=1=> y=1/9

a= 0,555..+0,1111 = 5/9+1/9= 6/9
b=0,2+0,04 = 2/10+4/100= 20/100+4/100=24/100=6/25

b/a =( 6/9) /(6/25) =6/9 x25/6= 25/9
letra A