Write the ratio of 350 g to `2.7 kg` in its simplest form.

Answer

To find the ratio of 350 g to 2.7 kg in its simplest form, follow these steps:

### Step 1: Convert kilograms to grams
We know that 1 kilogram is equal to 1000 grams. Therefore, to convert 2.7 kg to grams, we multiply:

\[ 2.7 \, \text{kg} \times 1000 \, \text{g/kg} = 2700 \, \text{g} \]

### Step 2: Write the ratio
Now that both quantities are in grams, we can write the ratio of 350 g to 2700 g:

\[ \text{Ratio} = 350 \, \text{g} : 2700 \, \text{g} \]

### Step 3: Simplify the ratio
To simplify the ratio, we can express it as a fraction:

\[ \frac{350}{2700} \]

Next, we need to find the greatest common divisor (GCD) of 350 and 2700 to simplify the fraction.

### Step 4: Find the GCD
The GCD of 350 and 2700 is 50. Now, we divide both the numerator and the denominator by their GCD:

\[ \frac{350 \div 50}{2700 \div 50} = \frac{7}{54} \]

### Step 5: Write the simplified ratio
Now, we can express the simplified fraction as a ratio:

\[ 7 : 54 \]

### Final Answer
The simplest form of the ratio of 350 g to 2.7 kg is:

\[ \text{Ratio} = 7 : 54 \]

---