To determine what fraction 40 centimeters is of 2 meters, follow these steps:
1. Convert meters to centimeters:
Since 1 meter equals 100 centimeters, we convert 2 meters to centimeters:
[tex]\(2 \text{ meters} \times 100 \text{ centimeters per meter} = 200 \text{ centimeters}\)[/tex].
2. Determine the fraction:
We need to find the fraction represented by 40 centimeters out of the total 200 centimeters. This can be done by dividing the part by the whole:
[tex]\[
\frac{40 \text{ cm}}{200 \text{ cm}} = 0.2
\][/tex]
3. Simplify the fraction:
To simplify the fraction, we find the greatest common divisor (GCD) of the numerator (40) and the denominator (200). The GCD of 40 and 200 is 40.
Simplifying [tex]\( \frac{40}{200} \)[/tex] by dividing both the numerator and the denominator by 40:
[tex]\[
\frac{40 \div 40}{200 \div 40} = \frac{1}{5}
\][/tex]
Thus, the fraction of 40 centimeters out of 2 meters is [tex]\( \frac{1}{5} \)[/tex].
