The correct answer is: $\dfrac{650}{127}\text{ in} \approx 5.1181\text{ in}$
Explanation
Convert centimeters to inches using $1\text{ in} = 2.54\text{ cm}$. Divide 13 cm by 2.54 cm per inch to get inches.
Steps:
- First step: $$1\text{ in} = 2.54\text{ cm}$$
- Second step: $$x = \frac{13\text{ cm}}{2.54\text{ cm/in}}$$
- Final step: $$x = \frac{13}{2.54}\text{ in} = \frac{650}{127}\text{ in} \approx 5.1181\text{ in}$$
Therefore, 13 cm is about $5.1181\text{ in}$ (approximately $5.12\text{ in}$ when rounded to three significant figures).