The scale factor of Josiah's drawing can be found by looking at the relationship between the measurements in the drawing and the actual measurements in real life.
Given that 5 inches represent 1 yard in the drawing, we can set up a proportion to find the scale factor as a fraction:
\[ \frac{5 \text{ inches}}{1 \text{ yard}} = \frac{x \text{ inches}}{1 \text{ yard}} \]
Where x represents the actual measurements in inches corresponding to 1 yard in real life.
To find the scale factor, we need to simplify the proportion by cross-multiplying:
\[ 5 \times 1 = x \times 1 \]
\[ 5 = x \]
Therefore, the scale factor for Josiah's drawing is 5:1 when written as a fraction.