Find a common denominator for the two fractions. 1/6x and 1/2x has a common denominator 6x .

There's no need to do anything for the fraction \dfrac{x+1}{6x}. But for \dfrac{x+1}{2x} , multiply 3 with both of its denominator and numerator.

Once the denominators are the same, add the numerators of both fractions. So,

\dfrac{x+1}{6x}+\dfrac{x+1}{2x}

= \dfrac{x+1}{6x}+\dfrac{3x+3}{6x}

=\dfrac{2x+2}{3x}