Find the ratio of :
1 kg 200 g to 3 kg 250 g

Answer

To find the ratio of 1 kg 200 g to 3 kg 250 g, we will follow these steps:

### Step 1: Convert kilograms to grams
1 kg is equal to 1000 grams. Therefore, we need to convert both quantities into grams.

- For 1 kg 200 g:
\[ 1 \text{ kg} = 1000 \text{ g} \implies 1 \text{ kg} 200 \text{ g} = 1000 \text{ g} + 200 \text{ g} = 1200 \text{ g} \]

- For 3 kg 250 g:
\[ 3 \text{ kg} = 3 \times 1000 \text{ g} = 3000 \text{ g} \implies 3 \text{ kg} 250 \text{ g} = 3000 \text{ g} + 250 \text{ g} = 3250 \text{ g} \]

### Step 2: Write the ratio
Now we can express the ratio of 1 kg 200 g to 3 kg 250 g as:
\[ \text{Ratio} = \frac{1200 \text{ g}}{3250 \text{ g}} \]

### Step 3: Simplify the ratio
To simplify the ratio, we can divide both the numerator and the denominator by their greatest common divisor (GCD). However, we can also simplify by canceling out common factors.

1. Cancel the zeros:
\[ \frac{1200}{3250} = \frac{120}{325} \]

2. Now, we can simplify \(\frac{120}{325}\) further. We can divide both by 5:
\[ \frac{120 \div 5}{325 \div 5} = \frac{24}{65} \]

### Final Answer
Thus, the ratio of 1 kg 200 g to 3 kg 250 g is:
\[ \text{Ratio} = 24 : 65 \]

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