The opposite number would be the same distance from zero on the number line in the opposite direction... -1.8 is 1.8 units from zero in the negative direction, so the opposite would be...
1.8 (in the positive direction)
The reciprocal refers to a fraction with the numerator and denominator flipped into the opposite position, so we need to convert to a fraction and then flip it.
-1.8 = -1 8/10 = -18/10 = -9/5 ... now flip it for the reciprocal
-9/5 turns into -5/9
So your answer is 1.8, -5/9