If this is supposed to be
[(-2/5)(log2 (2)] / 5 - [(3/5) log2 (3)] / 5 we have
(-2/25) (1) - (3/25) [ log (3) ] / [ log(2) ≈ -0.2701955
However, if this is supposed to be
(-2/5) log2 (2/5) - (3/5)log2 (3/5) then we have
(-2/5) log2 (0.4) - (3/5)log2(0.6) ≈ 0.970951
[ The use of parentheses is important in these problems.....!!!! ]