To find the scale factor used to create the travel version of the triangular piece, we can compare the side lengths of the original piece to the side lengths of the travel version.
The original piece measures 3 inches on each side, and the travel version measures 0.5 inches on each side.
The scale factor can be calculated by dividing the side length of the travel version by the side length of the original:
\[ \text{Scale factor} = \frac{\text{Side length of travel version}}{\text{Side length of original}} = \frac{0.5}{3} \]
Calculating this gives:
\[ \text{Scale factor} = \frac{0.5}{3} = \frac{1}{6} \]
So, the scale factor used to create the travel version of the piece is:
\(\frac{1}{6}\)
Response: \(\frac{1}{6}\) (Start Fraction 1 over 6 End Fraction)