Question 264871
your equation is:



{{{((5+5k)/4) + ((1+k)/8)}}}


multiply the first fraction by {{{2/2}}} to get:


{{{(2*(5+5k)/(2*4)) + ((1+k)/8)}}}


simplify to get:


{{{((10+10k)/8) + ((1+k)/8)}}}


combine under the same denominator to get:


{{{(10+10k+1+k)/8}}}


combine like terms in the numerator to get:


{{{(11k + 11)/8}}}


factor out 11 to get:


{{{(11*(k + 1))/8}}}


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?