Question

Add the rational expression as indicated be sure to express your answer in simplest form. By inspection, the least common denominator of the given factor is

Answer 1

Notice that the least common denominator is 9*2=18, therefore:

`\begin{gathered} (x-3)/(9)+(x+7)/(2)=(2(x-3))/(9\cdot2)+(9(x+7))/(9\cdot2), \\ (x-3)/(9)+(x+7)/(2)=(2x-6)/(18)+(9x+63)/(18), \\ (x-3)/(9)+(x+7)/(2)=(2x-6+9x+63)/(18), \\ (x-3)/(9)+(x+7)/(2)=(11x+57)/(18)\text{.} \end{gathered}`

Answer:

`(x-3)/(9)+(x+7)/(2)=(11x+57)/(18)\text{.}`