Verified answer

(-5/6)/(-3/2)

You know the answer is positive because dividend and divisor are both negative

(5/6)/(3/2)

If you multiply 3/2 by 2/3 the result is 1

You must do the same to the big numerator

(5/6)/(3/2) = [(5/6)(2/3)]/[(3/2)(2/3) = (10/18)/1 = 5/9

To divide fractions, multiply the big numerator by the reciprocal of the big denominator: (a/b)/(c/d) = (a/b)(d/c)

Now factor where possible to see what cancels

When dividing by a fraction flip the fraction and multiply instead.

Thus:

-5/6 x -2/3

-5 x -2 = 10

6 x 3 = 18

Thus 10/18 Simplifies to: 5/9

(-5 / 6) / (-3 / 2) =

Remember that (a / b) / (c / d) = (a / b) * (d / c).

(-5 / 6) * (2 / -3) =

Cancel what you can.

(-5 / 3) * (1 / -3) =

(5 / 9)