What fraction is 1 kg 440 g of 2 kg 400 g?

Answer

To solve the problem of finding what fraction 1 kg 440 g is of 2 kg 400 g, we will follow these steps:

### Step-by-Step Solution:

1. **Convert the weights to grams**:
- Convert 1 kg 440 g to grams:
\[ 1 \text{ kg} = 1000 \text{ g} \quad \text{so,} \quad 1 \text{ kg} 440 \text{ g} = 1000 \text{ g} + 440 \text{ g} = 1440 \text{ g} \]
- Convert 2 kg 400 g to grams:
\[ 2 \text{ kg} = 2000 \text{ g} \quad \text{so,} \quad 2 \text{ kg} 400 \text{ g} = 2000 \text{ g} + 400 \text{ g} = 2400 \text{ g} \]

2. **Set up the fraction**:
- Now we can express the fraction:
\[ \text{Fraction} = \frac{1 \text{ kg} 440 \text{ g}}{2 \text{ kg} 400 \text{ g}} = \frac{1440 \text{ g}}{2400 \text{ g}} \]

3. **Simplify the fraction**:
- First, we can simplify by dividing both the numerator and denominator by 10:
\[ \frac{1440}{2400} = \frac{144}{240} \]
- Next, we can simplify further by dividing both by 12:
\[ \frac{144 \div 12}{240 \div 12} = \frac{12}{20} \]
- Finally, we can simplify by dividing both by 4:
\[ \frac{12 \div 4}{20 \div 4} = \frac{3}{5} \]

4. **Final answer**:
- Therefore, the fraction of 1 kg 440 g of 2 kg 400 g is:
\[ \frac{3}{5} \]