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}\.
\[
\boxed{\frac{LD_{50}}{ED_{50}}}
\]