1. **State the problem:** We need to find the fraction of juice purchased that is orange juice given that out of every 192 containers, 82 are orange juice. 2. **Formula:** The fraction of orange juice is given by $ \frac{\text{number of orange juice containers}}{\text{total number of containers}} $. 3. **Apply the values:** $ \frac{82}{192} $. 4. **Simplify the fraction:** Find the greatest common divisor (GCD) of 82 and 192. 5. The GCD of 82 and 192 is 2. 6. Divide numerator and denominator by 2: $$\frac{\cancel{82}^ {41}}{\cancel{192}^{96}}$$ 7. **Final simplified fraction:** $ \frac{41}{96} $. **Answer:** The fraction of juice purchased that is orange juice is $ \frac{41}{96} $.