Question

Daca a supra b = 2,(6) determinati numarul rational pozitiv b in cazurile a) a=0,8. b) a=1,(3) c) a=0,(6) d) a=3,2. Va rog! E urgent ! Dau coroana!
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Answer 1

a/b = 2,(6)

2,(6) = (26-2)/9 = 24/9 = 8/3

a/b = 8/3 => b = 3*a/8

a) a = 0,8 = 8/10 = 4/5

b = (3*4/5)/8 = 12/5 * 1/8 = 3/5 * 1/2 = 3/10 = 0,3

b) a = 1,(3) = (13-1)/9 = 12/9 = 4/3

b = (3*4/3)/8 = 4/8 = 1/2 = 0,5

c) a = 0,(6) = 6/9 = 2/3

b = (3*2/3)/8 = 2/8 = 1/4 = 0,25

d) a = 3,2 = 32/10 = 16/5

b = (3*16/5)/8 = 48/5 * 1/8 = 6/5 = 1,2