R = A/(A+B)
(A+B)/A = 1/R
1+(B/A) = 1/R
B/A = (1/R)-1
0.2 > B/A = (1/R)-1 < 0.2
1/R < 1.2 = 6/5
R > 5/6

Thus, the lowest value of (R > 5/6) is slightly above 5/6=0.8333...