Find the ratio of each of the in simplest form :
`3.5 kg ` to 250 g

Answer

To find the ratio of 3.5 kg to 250 g in simplest form, we can follow these steps:

### Step 1: Convert kilograms to grams
First, we need to convert 3.5 kg into grams. We know that 1 kg is equal to 1000 grams.

\[ 3.5 \text{ kg} = 3.5 \times 1000 \text{ g} = 3500 \text{ g} \]

### Step 2: Write the ratio
Now that we have both quantities in grams, we can express the ratio of 3500 g to 250 g.

\[ \text{Ratio} = 3500 \text{ g} : 250 \text{ g} \]

### Step 3: Simplify the ratio
To simplify the ratio, we can divide both sides by a common factor. First, let's find the greatest common divisor (GCD) of 3500 and 250.

We can factor both numbers:
- \(3500 = 7 \times 5 \times 10 \times 10\)
- \(250 = 5 \times 5 \times 10\)

Now we can see that both numbers share common factors of \(5\) and \(10\).

### Step 4: Cancel out the common factors
Now we can cancel out the common factors from the ratio:

\[ \frac{3500}{250} = \frac{3500 \div 250}{250 \div 250} = \frac{14}{1} \]

So, the simplified ratio is:

\[ 14 : 1 \]

### Final Answer
The ratio of 3.5 kg to 250 g in simplest form is \(14 : 1\).

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