Find the ratio in simplest form is
300 g to 2 kg

Answer

To find the ratio of 300 g to 2 kg in its simplest form, follow these steps:

### Step 1: Convert kilograms to grams
Since the units need to be the same for comparison, we will convert 2 kg into grams. We know that:
1 kg = 1000 grams

So,
\[ 2 \text{ kg} = 2 \times 1000 \text{ g} = 2000 \text{ g} \]

### Step 2: Write the ratio
Now we can write the ratio of 300 g to 2000 g:
\[ \text{Ratio} = 300 \text{ g} : 2000 \text{ g} \]

### Step 3: Simplify the ratio
To simplify the ratio, we can express it as a fraction:
\[ \frac{300}{2000} \]

Next, we need to simplify this fraction. We can find the greatest common divisor (GCD) of 300 and 2000.

The GCD of 300 and 2000 is 100. Now, we divide both the numerator and the denominator by their GCD:
\[ \frac{300 \div 100}{2000 \div 100} = \frac{3}{20} \]

### Step 4: Write the final ratio
Now we can express the simplified ratio:
\[ 3 : 20 \]

### Conclusion
Therefore, the ratio of 300 g to 2 kg in simplest form is:
\[ \text{Ratio} = 3 : 20 \]

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