To determine how many [tex]\(\frac{1}{6}\)[/tex] pieces make up a whole, let's think about fraction division.
1. Start with the whole number [tex]\(1\)[/tex].
2. We need to figure out how many parts of [tex]\(\frac{1}{6}\)[/tex] fit into [tex]\(1\)[/tex].
We can do this by dividing the whole number by the size of the fractional piece:
[tex]\[ \text{Number of } \frac{1}{6} \text{ pieces} = \frac{\text{Whole}}{\text{Piece}} \][/tex]
Substitute the values for the whole and the piece:
[tex]\[ \text{Number of } \frac{1}{6} \text{ pieces} = \frac{1}{\frac{1}{6}} \][/tex]
To divide by a fraction, we multiply by its reciprocal:
[tex]\[ \frac{1}{\frac{1}{6}} = 1 \times 6 \][/tex]
When we perform this multiplication:
[tex]\[ 1 \times 6 = 6 \][/tex]
Therefore, the number of [tex]\(\frac{1}{6}\)[/tex] pieces that make up one whole is:
[tex]\[ 6 \][/tex]
This means that there are [tex]\(6\)[/tex] [tex]\(\frac{1}{6}\)[/tex] pieces in [tex]\(1\)[/tex] whole.
