-3 / 1/6

To solve this division problem, we can convert the divisor (1/6) into its reciprocal (6/1), and then multiply it by the dividend (-3):

(-3) * (6/1) = -18

Therefore, -3 divided by 1/6 is equal to -18.

To simplify the expression -3 divided by 1/6, you can follow these steps:

Step 1: Convert the division of a fraction to multiplication by its reciprocal. The reciprocal of 1/6 is 6/1.
-3 / 1/6 = -3 * 6/1

Step 2: Simplify the multiplication by multiplying the numerators and denominators.
-3 * 6 = -18
1 * 1 = 1

Therefore, -3 / 1/6 = -18.