SOLUTION: What is answer in Lowest terms ((5+5k)/4) + ((1+k)/8) Work done: ((5+5k)/4) + ((1+k)/8) = (2(5+5k)/8) + ((1+k)/8) = ((2(5+5k))+(1+k))/8 = This is the answer per my book/e

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: What is answer in Lowest terms ((5+5k)/4) + ((1+k)/8) Work done: ((5+5k)/4) + ((1+k)/8) = (2(5+5k)/8) + ((1+k)/8) = ((2(5+5k))+(1+k))/8 = This is the answer per my book/e      Log On


   



Question 264871: What is answer in Lowest terms ((5+5k)/4) + ((1+k)/8)
Work done:
((5+5k)/4) + ((1+k)/8) =
(2(5+5k)/8) + ((1+k)/8) =
((2(5+5k))+(1+k))/8 =
This is the answer per my book/example:
((2x5+1)(1+k))/8 = 11(1+k)/8
What happened to the (2(5+5k)) and where did the +1 come from?

Found 2 solutions by Theo, JBarnum:
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
your equation is:


%28%285%2B5k%29%2F4%29+%2B+%28%281%2Bk%29%2F8%29

multiply the first fraction by 2%2F2 to get:

%282%2A%285%2B5k%29%2F%282%2A4%29%29+%2B+%28%281%2Bk%29%2F8%29

simplify to get:

%28%2810%2B10k%29%2F8%29+%2B+%28%281%2Bk%29%2F8%29

combine under the same denominator to get:

%2810%2B10k%2B1%2Bk%29%2F8

combine like terms in the numerator to get:

%2811k+%2B+11%29%2F8

factor out 11 to get:

%2811%2A%28k+%2B+1%29%29%2F8

the answer is correct.

per your statements:

((2(5+5k))+(1+k))/8 =
THE ABOVE STATEMENT IS CORRECT.
This is the answer per my book/example:
((2x5+1)(1+k))/8 = 11(1+k)/8
THE ABOVE STATEMENT IS INCORRECT.
IT SHOULD HAVE READ.
((2*5 + 2*5k) + (1+k)
IT'S PROBABLY A MISPRINT AS THEY GOT THE ANSWER CORRECT AND THERE'S NO WAY THE STATEMENT AS IT STANDS WOULD GIVE YOU THAT ANSWER.
What happened to the (2(5+5k)) and where did the +1 come from?


Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
%28%285%2B5k%29%2F4%29%2B%28%281%2Bk%29%2F8%29
%282%285%2B5k%29%2F8%29%2B%28%281%2Bk%29%2F8%29 Multiply
%28%2810%2B10k%29%2F8%29%2B%28%281%2Bk%29%2F8%29 combine numerators ove like denomerator
%2810%2B10k%2B1%2Bk%29%2F8%29 add like terms
%2811%2B11k%29%2F8%29 take 11 out
%2811%281%2Bk%29%29%2F8%29