SOLUTION: Adding rational # Cant figure this problem out..Any help will be appreciated. 5 1 _____ + _______ 7x+35 42x+126 I tried factoring both Denominator 7(x+5) 42

SOLUTION: Adding rational # Cant figure this problem out..Any help will be appreciated. 5 1 _ + ___ 7x+35 42x+126 I tried factoring both Denominator 7(x+5) 42

Question 35317: Adding rational #
Cant figure this problem out..Any help will be appreciated.
5 1
_____ + _______
7x+35 42x+126

I tried factoring both Denominator
7(x+5) 42(x+3)
then 7(42)=294(x+5)(x+3)
I am lost after that
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!

Your problem was that you did not find the Lowest Common Denominator. Notice that 7 divides evenly into 42, so the LCD =

Now, multiply the first fraction by 6(x+3) and the second fraction by (x+5):

Now, the LCD is 42(x+3)(x+5), and that becomes the denominator of the fraction. The numerator of the fraction becomes the sum of the numerators.

NOW DON'T DIVIDE ANY OF THESE OUT!! They look like factors, but they are NOT factors!! Multiply out the numerators.

R^2 at SCC