Ratio Grams Kilograms B0890C

1. **State the problem:** We need to express the ratio of 300 grams to 2 kilograms. 2. **Convert units to be consistent:** Since 1 kilogram = 1000 grams, convert 2 kg to grams: $$2 \text{ kg} = 2 \times 1000 = 2000 \text{ g}$$ 3. **Write the ratio:** The ratio of 300 g to 2000 g is: $$300 : 2000$$ 4. **Simplify the ratio:** Divide both terms by their greatest common divisor, which is 100: $$\frac{300}{\cancel{100}} : \frac{2000}{\cancel{100}} = 3 : 20$$ 5. **Compare with given options:** The simplified ratio is $3:20$, which does not match options a. $5:18$ or b. $18:5$. 6. **Check if ratio is reversed:** The ratio of 2 kg to 300 g is: $$2000 : 300$$ Simplify by dividing both by 100: $$\frac{2000}{\cancel{100}} : \frac{300}{\cancel{100}} = 20 : 3$$ Neither $5:18$ nor $18:5$ matches this either. **Final answer:** Neither option a nor b correctly expresses the ratio of 300 g to 2 kg. However, if the question is about option b. $18:5$, it does not represent the ratio of 300 g to 2 kg. Therefore, the correct simplified ratio is $3:20$.