Sure, let us unpack this problem step by step.
Let us write the answer in the most simplest form.
First, we have to understand the given problem which is (5/9) - (-1/15).
Note the subtraction of a negative number in the given question. In mathematics, subtracting a negative number is equivalent to adding that same number.
So, the given question now turns into (5/9) + (1/15).
Now, to make the calculation simpler, let us divide the fractions separately.
(5/9) = 0.5555555555555555 (approximately)
(1/15) = 0.0666666666666667 (approximately)
Next, we have to add these two values together, which equals to 0.6222222222222222.
Hence, the solution to the problem (5/9)-(-1/15) is 0.6222222222222222.