Answer
55 g
Work Step by Step
We have to convert carats to grams, given that 1 carat = 200 mg and 1 g = $10^{3}$g .
So to convert 275 carat to gram, we have to use two conversion factors:
To convert carats to mg: $\frac{200 mg }{ 1 carat}$ = $\frac{(2\times10^{2}) mg }{ 1 carat}$
To convert mg to g: $\frac{1g}{(10^{3})g}$.
Therefore:
275 carat = 275 carat x $\frac{(2\times10^{2}) mg }{ 1 carat}$ x $\frac{1g}{(10^{3})g}$
275 carat = 550 x $10^{2}$mg x $\frac{1g}{(10^{3})g}$
275 carat = 55 g
