Question

How do you simplify `8/(3c)--5/(6d)`?

Answer 1

`(16d+5c)/(6cd)`

Explanation:

Firstly, the two minus signs in the middle 'cancel out' to act as a plus sign. So the expression becomes `8/(3c) + 5/(6d)`.

Then we can find a common denominator by find the LCM (lowest common multiple) of `3c` and `6d`, which happens to be `6cd`

Then we can add to get `(8xx2d)/(3cxx2d)+(5xxc)/(6d xx c)`

= `(16d)/(6cd)+(5c)/(6cd)=(16d+5c)/(6cd)`

So the answer is `(16d+5c)/(6cd)`