To convert the measurement from milligrams per deciliter ([tex]\( \frac{mg}{dL} \)[/tex]) to grams per liter ([tex]\( \frac{g}{L} \)[/tex]), we need to follow these steps:
1. Understand the units involved:
- 1 milligram (mg) is equal to 0.001 grams (g).
- 1 deciliter (dL) is equal to 0.1 liters (L).
2. Set up the conversion factor:
- Since 1 mg is 0.001 g, and 1 dL is 0.1 L, we can determine that 1 mg/dL is equivalent to [tex]\( 0.001 \, \text{g} \)[/tex] divided by [tex]\( 0.1 \, \text{L} \)[/tex]. Simplifying this, we find that:
[tex]\[
1 \frac{mg}{dL} = 0.01 \frac{g}{L}
\][/tex]
3. Apply the conversion factor to the given measurement:
- We have 44 mg/dL. Using the conversion factor [tex]\( 1 \frac{mg}{dL} = 0.01 \frac{g}{L} \)[/tex], we multiply:
[tex]\[
44 \frac{mg}{dL} \times 0.01 \frac{g}{mg \cdot dL} = 44 \times 0.01 \frac{g}{L}
\][/tex]
4. Calculate the result:
- Multiply 44 by 0.01:
[tex]\[
44 \times 0.01 = 0.44
\][/tex]
So, the measurement of [tex]\( 44 \frac{mg}{dL} \)[/tex] converts to [tex]\( 0.44 \frac{g}{L} \)[/tex]. Hence, the final answer is:
[tex]\[
44 \frac{mg}{dL} = 0.44 \frac{g}{L}
\][/tex]
