To solve the expression, you can multiply the whole numbers and fractions separately.
First, multiply the whole numbers: 6 × -1 = -6.
Next, multiply the fractions: 5/8 × 2/5 = 10/40 = 1/4.
Finally, multiply the whole number result by the fraction result: -6 × 1/4 = -6/4 = -3/2.
So, six and five eighths times negative one and two fifths is equal to negative three halves.