To determine what fraction 5 cm is of 20 cm, follow these detailed steps:
1. Identify the part and the whole: In this problem, 5 cm is the part and 20 cm is the whole.
2. Setup the fraction: To find the fraction of 5 cm out of 20 cm, we write the fraction as:
[tex]\[
\frac{\text{part}}{\text{whole}} = \frac{5}{20}
\][/tex]
3. Simplify the fraction: Simplify [tex]\(\frac{5}{20}\)[/tex] by finding the greatest common divisor (GCD) of 5 and 20. The GCD of 5 and 20 is 5. Divide both the numerator and denominator by the GCD:
[tex]\[
\frac{5 \div 5}{20 \div 5} = \frac{1}{4}
\][/tex]
Thus, 5 cm of 20 cm is represented by the fraction [tex]\(\frac{1}{4}\)[/tex] or in decimal form, 0.25.
Therefore, 5 cm is [tex]\(\frac{1}{4}\)[/tex] or 0.25 of 20 cm.
