Express each of the following ratios in simplest form :
1 kg : 375 g

Answer

To express the ratio of 1 kg to 375 g in its simplest form, we can follow these steps:

### Step-by-Step Solution:

1. **Convert kilograms to grams**:
Since 1 kg is equal to 1000 g, we can rewrite the ratio as:
\[ 1 \text{ kg} : 375 \text{ g} = 1000 \text{ g} : 375 \text{ g} \]

2. **Set up the fraction**:
We can express the ratio as a fraction:
\[ \frac{1000}{375} \]

3. **Simplify the fraction**:
To simplify the fraction, we need to find the greatest common divisor (GCD) of 1000 and 375.

4. **Find the prime factorization**:
- For 1000:
\[ 1000 = 2^3 \times 5^3 \]
- For 375:
\[ 375 = 3^1 \times 5^3 \]

5. **Identify common factors**:
The common factor between 1000 and 375 is \(5^3\).

6. **Divide both the numerator and the denominator by the GCD**:
\[ \frac{1000 \div 125}{375 \div 125} = \frac{8}{3} \]

7. **Write the simplest form**:
Therefore, the ratio of 1 kg to 375 g in simplest form is:
\[ 8 : 3 \]

### Final Answer:
The simplest form of the ratio 1 kg : 375 g is **8 : 3**.