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To convert the given measurement from grams per liter (\(\frac{g}{L}\)) to milligrams per deciliter (\(\frac{mg}{dL}\)), we follow these steps:

1. **Convert grams to milligrams:**  
   Since 1 gram (g) is equal to 1000 milligrams (mg), we multiply the value by 1000.  
   \[
   0.315 \, \frac{g}{L} \times 1000 = 315 \, \frac{mg}{L}
   \]

2. **Convert liters to deciliters:**  
   Since 1 liter (L) is equal to 10 deciliters (dL), we divide the value by 10.  
   \[
   315 \, \frac{mg}{L} \div 10 = 31.5 \, \frac{mg}{dL}
   \]

Thus, the conversion is:
\[
0.315 \, \frac{g}{L} = 31.5 \, \frac{mg}{dL}
\]

Would you like more details or have any questions?

Here are some related questions that expand on this information:

1. How do you convert between other units of concentration, such as \(\frac{mg}{mL}\) to \(\frac{g}{L}\)?
2. What is the process for converting concentrations involving molarity (mol/L) to mass per volume units?
3. How can you apply these conversions in a real-world context, such as calculating medication dosages?
4. What are some common errors to avoid when converting units of measurement?
5. How do unit prefixes (e.g., kilo-, milli-, micro-) affect conversion calculations?

**Tip:** Always double-check unit conversions by breaking them into smaller steps, as this helps prevent mistakes and ensures accuracy!

Learn how to convert 0.315 g/L to mg/dL with this step-by-step guide. This problem covers key concepts in unit conversion, including multiplying by conversion factors and understanding ratios between grams, liters, milligrams, and deciliters. Suitable for students in Grades 6-8.

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