To determine what fraction of 3 kilograms ([tex]$kg$[/tex]) is 50 grams ([tex]$g$[/tex]), follow these steps:
1. Understand the relationship between kilograms and grams:
1 kilogram (kg) is equal to 1000 grams (g).
2. Convert the total weight into a common unit:
Convert 3 kilograms into grams to have a consistent unit for comparison.
[tex]\[
3 \text{ kg} = 3 \times 1000 \text{ g} = 3000 \text{ g}
\][/tex]
3. Set up the fraction:
We need to find what fraction 50 grams is of the total 3000 grams. This can be represented as:
[tex]\[
\frac{50}{3000}
\][/tex]
4. Simplify the fraction:
To simplify [tex]\(\frac{50}{3000}\)[/tex], we can divide the numerator and the denominator by their greatest common divisor. In this case, the greatest common divisor of 50 and 3000 is 50.
[tex]\[
\frac{50 \div 50}{3000 \div 50} = \frac{1}{60}
\][/tex]
5. Express as a decimal (optional):
To convert [tex]\(\frac{1}{60}\)[/tex] to a decimal, divide 1 by 60.
[tex]\[
\frac{1}{60} = 0.016666666666666666
\][/tex]
So, the fraction of 3 kilograms that is 50 grams, in its simplest form, is:
[tex]\[
\frac{50}{3000} = \frac{1}{60} \approx 0.016666666666666666
\][/tex]
