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

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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)   (Show Source): You can put this solution on YOUR website!
your equation is:




multiply the first fraction by to get:



simplify to get:



combine under the same denominator to get:



combine like terms in the numerator to get:



factor out 11 to get:



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)   (Show Source): You can put this solution on YOUR website!

Multiply
combine numerators ove like denomerator
add like terms
take 11 out
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