Answer:
To subtract two fractions, you need to have a common denominator. The common denominator for 8 and 3 is 24.
-5/8 = -15/24 (multiply both the numerator and denominator by 3)
-4/3 = -32/24 (multiply both the numerator and denominator by 8)
Now, we can subtract the two fractions by subtracting their numerators while keeping the common denominator.
-15/24 - (-32/24) = -15/24 + 32/24 = 17/24
Therefore, -5/8 - -4/3 = 17/24 in its simplest form.