Can someone with better knowledge than my self help me with an alegbra question. help me simplify c-d divided by 1/d-1/c? please show the steps.
Thank you!
This will be a little rough without LaTeX...
(c - d)/(1/d - 1/c)
We wish to remove the fractions in the denominator. So we want to subtract:
1/d - 1/c = c/(cd) - d/(cd) = (c - d)/cd
So:
(c - d)/(1/d - 1/c) = (c - d)/[(c - d)/cd]
Now we want to multiply the denominator by cd to remove the fraction. But what we do to the denominator we must do to the numerator:
(c - d)/(1/d - 1/c) = (c - d)/[(c - d)/cd] = [(c - d)(cd)]/(c - d) = cd
It's always good to do to an example.
c = 4, d = 2
(4 - 2)/(1/2 - 1/4) = 2/(1/4) = 8 = 2*4 (Check!)
-Dan