what is -1 1/6 divided by 1/4

To divide -1 1/6 by 1/4, we need to convert the mixed number to an improper fraction.

-1 1/6 can be written as -7/6.

Now, we can divide -7/6 by 1/4:

(-7/6) ÷ (1/4)

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

(-7/6) × (4/1)

Multiplying the numerators and denominators, we get:

(-7 × 4) / (6 × 1)

= -28/6

To simplify the fraction, we can divide the numerator and denominator by their greatest common divisor, which is 2:

(-28 ÷ 2) / (6 ÷ 2)

= -14/3

Therefore, -1 1/6 divided by 1/4 is equal to -14/3.