Understanding the Ratio of 3m to 30cm
To find the ratio of 3 meters (m) to 30 centimeters (cm), we first need to convert both measurements to the same unit. This will help us compare them directly.
Step 1: Convert Units
- 1 meter is equal to 100 centimeters.
- Therefore, 3 meters can be converted to centimeters:
- 3 m = 3 * 100 cm = 300 cm.
Step 2: Write the Ratio
- Now that we have both measurements in centimeters, we can express the ratio:
- Ratio = 300 cm (for 3 m) : 30 cm.
Step 3: Simplify the Ratio
- To simplify the ratio, divide both sides by the smaller value, which is 30 cm:
- 300 cm ÷ 30 cm = 10.
- 30 cm ÷ 30 cm = 1.
- Therefore, the simplified ratio is:
- 10 : 1.
Conclusion
The final ratio of 3 meters to 30 centimeters is 10:1. This indicates that for every 10 parts of the length that corresponds to 3 meters, there is 1 part that corresponds to 30 centimeters. Ratios are useful for comparing quantities and can help visualize relationships between different measurements.

10:1