Find the ratio of the following:
12.80 m to 320 cm

Answer

To find the ratio of 12.80 m to 320 cm, we will follow these steps:

### Step 1: Convert units to be the same
We need to convert 320 cm to meters since 12.80 m is already in meters.

We know that:
1 meter = 100 centimeters

To convert centimeters to meters, we can use the formula:
\[ \text{meters} = \frac{\text{centimeters}}{100} \]

So for 320 cm:
\[ 320 \text{ cm} = \frac{320}{100} \text{ m} = 3.2 \text{ m} \]

### Step 2: Write the ratio
Now that we have both values in meters, we can write the ratio of 12.80 m to 3.2 m:
\[ \text{Ratio} = \frac{12.80}{3.2} \]

### Step 3: Simplify the ratio
To simplify the ratio, we can eliminate the decimal points.

Since 12.80 has two decimal places, we can multiply both the numerator and the denominator by 100 to eliminate the decimals:
\[ \frac{12.80 \times 100}{3.2 \times 100} = \frac{1280}{320} \]

### Step 4: Further simplify the fraction
Now we will simplify \(\frac{1280}{320}\):
- Divide both the numerator and the denominator by 320:
\[ \frac{1280 \div 320}{320 \div 320} = \frac{4}{1} \]

### Step 5: Write the final ratio
The ratio of 12.80 m to 320 cm is:
\[ 4:1 \]