To solve the problem of finding what fraction or percentage 8 meters 80 centimeters is of 40 meters, let's break it down step-by-step.
1. Convert both measurements to the same unit:
- First, convert 8 meters 80 centimeters to centimeters:
- 1 meter = 100 centimeters.
- So, 8 meters = 8 100 = 800 centimeters.
- Adding 80 centimeters gives us: 800 + 80 = 880 centimeters.
- Next, convert 40 meters to centimeters:
- 40 meters = 40 100 = 4000 centimeters.
2. Calculate the fraction:
- To find the fraction of 8 meters 80 centimeters in 40 meters, we take the ratio of the two values in centimeters:
- Fraction = length of part / total length
- Fraction = 880 cm / 4000 cm
- Simplifying this ratio results in Fraction = 0.22.
3. Convert the fraction to a percentage:
- To convert a fraction to a percentage, multiply it by 100:
- Percentage = 0.22 * 100
- This gives us: Percentage = 22.0%.
Therefore, 8 meters 80 centimeters is 22% of 40 meters.
