Let's consider the problem where we need to partition the number line between 0 and 1 into 6 equal pieces and determine what fraction of the whole each piece represents.
1. Understand the total interval: We are given an interval from 0 to 1, which represents a whole or 1 unit.
2. Partitioning the interval: We need to divide this interval into 6 equal parts. To find out how large each part is, we divide the whole (which is 1) by the number of parts (which is 6).
3. Calculation:
[tex]\[
\text{Fraction of the whole each part} = \frac{1}{6}
\][/tex]
4. Interpret the result: Each of these 6 parts is an equal fraction of the whole interval from 0 to 1.
So, the fraction of the whole that each piece represents is:
[tex]\[
\frac{1}{6}
\][/tex]
From the given options:
- [tex]\(\frac{1}{6}\)[/tex]
- [tex]\(\frac{1}{5}\)[/tex]
- [tex]\(\frac{5}{5}\)[/tex]
- [tex]\(\frac{6}{6}\)[/tex]
The correct answer is [tex]\(\frac{1}{6}\)[/tex].
