Answer
$\dfrac{1}{2+\dfrac{1}{3}}=\dfrac{3}{7}$
Work Step by Step
$\dfrac{1}{2+\dfrac{1}{3}}$
Evaluate the sum indicated in the denominator:
$\dfrac{1}{2+\dfrac{1}{3}}=\dfrac{1}{\dfrac{6+1}{3}}=\dfrac{1}{\dfrac{7}{3}}...$
Evaluate the division and simplify if possible:
$...=1\div\dfrac{7}{3}=\dfrac{3}{7}$
