SOLUTION: Rewrite the rational expression with the given denominator -2t/3(t-5) = ?/6(t-5)

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Question 894224: Rewrite the rational expression with the given denominator
-2t/3(t-5) = ?/6(t-5)

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
This works exactly the same way as with numbers without variables.

For clarity, show like this:
%28-2t%29%2F%283%28t-5%29%29=%28n%29%2F%286%28t-5%29%29

You want to know how to multiply the left member by some 1=k%2Fk so that the denominator will become 6%28t-5%29. How will this be done? What is k?

3%28t-5%29%2Ak=6%28t-5%29, what is k?
k=%286%28t-5%29%29%2F%283%28t-5%29%29
k=6%2F3
highlight_green%28k=2%29.

Do the same thing to the numerator:
-2t%2A2=-4t

The equivalent value for n is -4t.
The fraction is highlight%28%28-4t%29%2F%286%28t-5%29%29%29.