To find the number of grams (g) represented by 6,750 milligrams (mg), we can set up a proportion based on the relationship between milligrams and grams. We know that:
1,000 mg = 1 g.
To find the equivalent in grams for 6,750 mg, we can set up the proportion:
\[\frac{1 \text{ g}}{1000 \text{ mg}} = \frac{x \text{ g}}{6750 \text{ mg}}\]
Now we can cross-multiply to find \(x\):
\[1 , \text{g} \times 6750 , \text{mg} = 1000 , \text{mg} \times x , \text{g}\]
This simplifies to:
\[6750 = 1000x\]
Now, divide both sides by 1000:
\[x = \frac{6750}{1000} = 6.75 , \text{g}\]
Thus, the number of grams represented by 6,750 milligrams is \(x = 6.75 , \text{g}\).
1 answer