Express each of the ratio in its simplest form :
240 g to 96 kg

Answer

To express the ratio of 240 g to 96 kg in its simplest form, we will follow these steps:

### Step 1: Convert all quantities to the same unit
We have 240 grams and 96 kilograms. To compare them directly, we need to convert kilograms to grams.

Since 1 kg = 1000 g, we can convert 96 kg to grams:
\[ 96 \text{ kg} = 96 \times 1000 \text{ g} = 96000 \text{ g} \]

### Step 2: Write the ratio with the same units
Now we can express the ratio of 240 g to 96000 g:
\[ \text{Ratio} = 240 \text{ g} : 96000 \text{ g} \]

### Step 3: Simplify the ratio
To simplify the ratio, we can divide both terms by the common factor. We can divide both 240 and 96000 by 240:
\[ \frac{240}{240} : \frac{96000}{240} \]

Calculating the second term:
\[ \frac{96000}{240} = 400 \]

So, the simplified ratio is:
\[ 1 : 400 \]

### Final Answer
The simplest form of the ratio 240 g to 96 kg is:
\[ 1 : 400 \]

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