Question

Hey hun can any of y'all help me?

Write the expression as a simplified rational expression. Show your work?

Answer 1

`\bf \cfrac{5}{(1)/(6)+(1)/(x+1)}\qquad \cfrac{}{\impliedby LCD\textit{ will be 6(x+1)}}\implies \cfrac{5}{(1(x+1)+1(6))/(6(x+1))} \\\\\\ \cfrac{5}{(x+1+6)/(6(x+1))}\implies \cfrac{(5)/(1)}{(x+7)/(6(x+1))}\implies \cfrac{5}{1}\cdot \cfrac{6(x+1)}{x+7}\implies \cfrac{30(x+1)}{x+7}`

and you can expand the numerator if you wish, it won't be simplified further though.