Answer
\[\frac{7}{12}\]
Work Step by Step
Take LCM of 2 and 3 as 6. Then convert the denominator of each rational number to 6 as follows:
\[\begin{align}
& \frac{1}{2}=\frac{1\times 3}{2\times 3} \\
& =\frac{3}{6} \\
& \frac{2}{3}=\frac{2\times 2}{3\times 2} \\
& =\frac{4}{6}
\end{align}\]
Now, the rational number halfway between the provided rational numbers is:
\[\begin{align}
& \frac{\text{3}\text{.5}}{6}\text{=}\frac{35}{60} \\
& =\frac{7}{12}
\end{align}\]
Hence, the rational number halfway between the provided numbers is \[\frac{7}{12}\].
