To determine the scale factor used to create the travel version of the triangular piece, we can compare the side lengths of the original triangle to the side lengths of the travel version.
The original triangle has a side length of 3 inches, and the travel version has a side length of 0.5 inches.
To find the scale factor, we can use the formula:
\[ \text{Scale Factor} = \frac{\text{Side of Travel Version}}{\text{Side of Original Version}} = \frac{0.5}{3} \]
Calculating this:
\[ \text{Scale Factor} = \frac{0.5}{3} = \frac{1}{6} \]
So the scale factor used to create the travel version of the piece is \(\frac{1}{6}\). Thus, the correct response is:
Start Fraction 1 over 6 End Fraction.