Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.
Take the reciprocal of the second fraction by flipping the numerator and denominator, leaving the negative sign on the numerator, and changing the operation to multiplication. Then the equation becomes
1/4 x -8/3
For fraction multiplication, multiply the numerators and then multiply the denominators to get
1 x -8 = -8
4 x 3 = 12
The new fraction is -8/12
-8/12 Reduce to lowest terms is:
-2/3
