Concept:
Therapeutic index is a measure of drug safety. It compares the toxic dose with the effective dose.
Step 1: \(ED_{50}\) means median effective dose. It is the dose effective in \(50%\) of the population.
Step 2: \(LD_{50}\) means median lethal dose. It is the dose lethal in \(50%\) of test animals.
Step 3: Therapeutic index is calculated as:
\[
TI = \frac{LD_{50}}{ED_{50}}
\]
Step 4: A higher therapeutic index means a safer drug.
Step 5: Therefore, therapeutic index is \(LD_{50}/ED_{50}\).
\[
\boxed{\frac{LD_{50}}{ED_{50}}}
\]