Question

Sa se determine raportul numerelor x si y ,stiind ca:
a)x=1,(6) si y=0,1(6)
b)x=1,1(3) si y=0,85

Answer 1

a)

x = 1,(6) = ( 16 - 1) / 9 = 15 / 9 = 5 / 3

y = 0,1( 6 ) = ( 16 - 1) / 90 = 15 / 90 = 1 / 6

x / y = ( 5 / 3 ) / ( 1 / 6 ) = 5 / 3 × 6 / 1 = 5 × 2 = 10

b)

x = 1,1( 3) = ( 113 - 11 ) / 90 = 102 / 90 = 34 / 30 = 17 / 15

y = 0,85 = 85 / 100 = 17 / 20

x / y = 17 / 15 : 17 / 20 = 17 / 15 × 20 / 17 = 4 / 3 = 1 intreg si 1 / 3 = 1,(3)