To find the ratio of the number of female runners to the total number of runners, we first need to determine the number of female runners.
- Total number of runners: 13
- Number of male runners: 10
- Number of female runners: \( 13 - 10 = 3 \)
Now that we know there are 3 female runners, we can express the ratio of female runners to the total number of runners:
\[ \text{Ratio} = \frac{\text{Number of Female Runners}}{\text{Total Number of Runners}} = \frac{3}{13} \]
So, the ratio of the number of female runners to the total number of runners is:
\[ \frac{3}{13} \]