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

1 Answer

#(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)#