SOLUTION: This problem isn't in the book. Can you please help me? (4y+2)(1/6)y How you you do this problem??? What are the steps for the problems that have fractions in the ()???

Algebra ->  Expressions-with-variables -> SOLUTION: This problem isn't in the book. Can you please help me? (4y+2)(1/6)y How you you do this problem??? What are the steps for the problems that have fractions in the ()???      Log On


   

Question 55198This question is from textbook
: This problem isn't in the book. Can you please help me?
(4y+2)(1/6)y
How you you do this problem??? What are the steps for the problems that have fractions in the ()??? This question is from textbook

Found 2 solutions by checkley71, Cintchr:
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
MULTIPLY (4Y+2) BY 1/6
(4Y+2)(1/6)Y
(4/6y+2/6)Y
MULTIPLY THIS BY Y
4/6Y^2+2/6Y
REDUCE THE FRACTIONS
2/3Y^2+1/3Y
FACTOR OUT THE 1/3Y
1/3Y(2Y+1)

Answer by Cintchr(481) About Me  (Show Source):
You can put this solution on YOUR website!
+%284y%2B2%29%281%2F6%29y+
First thing here is to realize there are actually three fractions here.
Remeber anything over 1 equals itself. So re-write the 4y + 2 and the y as fractions.
+%28%284y%2B2%29%2F1%29%281%2F6%29%28y%2F1%29+
since we are multiplying, there is no need for common denominators, just place all numerators and denominators into a single fraction
+%28%284y%2B2%29%281%29%28y%29%29%2F%28%281%29%286%29%281%29%29+
With this fraction I would pull a 2 out of the 4y + 2 so that we can reduce.
+%282%282y%2B1%29%281%29%28y%29%29%2F%28%281%29%286%29%281%29%29+
reduce
+%28%282y%2B1%29%281%29%28y%29%29%2F%28%281%29%283%29%281%29%29+
multiply
+%282y%5E2%2By%29%2F3+