To find the quotient of two fractions, you need to divide the numerator of the first fraction by the numerator of the second fraction and divide the denominator of the first fraction by the denominator of the second fraction.
In this case, you are given the expression -5/8 ÷ -2/3. To start, let's change the division sign to multiplication and flip the second fraction (the divisor) by swapping the numerator and denominator. This gives us:
-5/8 × -3/2
Next, multiply the numerators together (the -5 and -3) and the denominators together (the 8 and 2), which results in:
(-5 × -3) / (8 × 2)
Simplifying the expression further, we get:
15 / 16
Therefore, the quotient of -5/8 ÷ -2/3 is equal to 15/16.