SOLUTION: I am suppose to rewrite the variable expression with a common denominator. 4t/9w^2,5/6wt. The book says the answer is 8t^2/18w^2t,15w/18w^2t. I do not understand how to get that

Algebra ->  Exponents -> SOLUTION: I am suppose to rewrite the variable expression with a common denominator. 4t/9w^2,5/6wt. The book says the answer is 8t^2/18w^2t,15w/18w^2t. I do not understand how to get that      Log On


   

Question 517053: I am suppose to rewrite the variable expression with a common denominator.
4t/9w^2,5/6wt. The book says the answer is 8t^2/18w^2t,15w/18w^2t. I do not understand how to get that answer.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Break down each of the denominators into its prime factors:





2 occurs most frequently in and it occurs 1 time

3 occurs most frequently in and it occurs 2 times

occurs most frequently in and it occurs 2 times

occurs most frequently in and it occurs 1 time.

The Lowest Common denominator then needs one 2, two 3s, 2 s, and 1 , that is to say:



Then since

we need to multiply the first fraction, by 1 in the form of , to wit:



Do the other one the same way.

John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism