Question

How do you simplify `(-1/4)/(3/10)`?

Answer 1

`-5/6`

Explanation:

When dividing a fraction by a fraction, you must take the reciprocal of the bottom fraction (flip the fraction in other words) and multiply the fraction across. (See below)

`(-1/4)/(3/10)`

Flip `3/10` so that it becomes `10/3`.

Then, multiply as you would

`("numerator " xx " numerator")/("denominator " xx " denominator")`

The setup looks like this:

`(-1/4)*(10/3) = -10/12`

You can simplify if required to get `-5/6` since both `10` and `12` are divisible by `2`.