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The number line between 0 and 1 is partitioned into 6 equal pieces. What fraction of the whole is each piece?

A. [tex][tex]$\frac{1}{6}$[/tex][/tex]
B. [tex][tex]$\frac{1}{5}$[/tex][/tex]
C. [tex][tex]$\frac{5}{5}$[/tex][/tex]
D. [tex][tex]$\frac{6}{6}$[/tex][/tex]

Sagot :

GinnyAnswer
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].
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