Question

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Write the expression as a simplified rational expression. 5 / 1/6 + 1 / x+1
Show work!

Answer 1

simplify the denominator

1/6 + 1 /x+1

common denominator

6(x+1)

1/6 *(x+1)/(x+1) = (x+1)/6(x+1)

1/(x+1) * 6/6 = 6/(6(x+1))

(x+1)/6(x+1) + 6/(6(x+1))=  (6+ (x+1))/(6(x+1))  = (7+x)/(6*(x+1))

then

5/ (7+x)/(6*(x+1))

copy dot flip

5 * (6*(x+1))/(7+x) =30 * (x+1)/(7+x)

Answer : 30 * (x+1)/ (x+7)