To find the number of grams (g) represented by 6,750 milligrams (mg), we can use the conversion factor of 1,000 mg = 1 g. We can set up a proportion based on this conversion.
Let \( x \) be the number of grams. We know: \[ \frac{6,750 \text{ mg}}{1,000 \text{ mg}} = \frac{x \text{ g}}{1 \text{ g}} \]
Now we can cross multiply: \[ 6,750 \text{ mg} \cdot 1 = x \text{ g} \cdot 1,000 \text{ mg} \] \[ 6,750 = 1,000x \]
Next, we solve for \( x \): \[ x = \frac{6,750}{1,000} = 6.75 \]
Therefore, \( x = 6.75 \) grams.
Thus, the number of grams represented by 6,750 milligrams is 6.75 grams.