Participation in the local soccer league this year is $10\%$ higher than last year.  The number of males increased by $5\%$ and the number of females increased by $20\%$.  What fraction of the soccer league is now female?

$\textbf{(A) }\dfrac13\qquad\textbf{(B) }\dfrac4{11}\qquad\textbf{(C) }\dfrac25\qquad\textbf{(D) }\dfrac49\qquad\textbf{(E) }\dfrac12$
1. Let the number of males last year be \( m \) and the number of females last year be \( f \).

2. This year, the number of males increased by \( 5\% \), so the number of males this year is:
   \[
   1.05m
   \]

3. The number of females increased by \( 20\% \), so the number of females this year is:
   \[
   1.2f
   \]

4. The total number of participants this year is \( 10\% \) higher than last year. Therefore, the total number of participants this year is:
   \[
   1.1(m + f)
   \]

5. We can set up the equation for the total number of participants this year:
   \[
   1.05m + 1.2f = 1.1(m + f)
   \]

6. Expanding and simplifying the equation:
   \[
   1.05m + 1.2f = 1.1m + 1.1f
   \]
   \[
   1.2f - 1.1f = 1.1m - 1.05m
   \]
   \[
   0.1f = 0.05m
   \]

7. Solving for the ratio of \( f \) to \( m \):
   \[
   \frac{f}{m} = \frac{0.05}{0.1} = \frac{1}{2}
   \]

8. Now, we need to find the fraction of the soccer league that is female this year. The number of females this year is \( 1.2f \) and the number of males this year is \( 1.05m \).

9. Using the ratio \( \frac{f}{m} = \frac{1}{2} \), we can express \( f \) in terms of \( m \):
   \[
   f = \frac{m}{2}
   \]

10. Substituting \( f = \frac{m}{2} \) into the expressions for the number of males and females this year:
    \[
    \text{Number of females this year} = 1.2f = 1.2 \left( \frac{m}{2} \right) = 0.6m
    \]
    \[
    \text{Number of males this year} = 1.05m
    \]

11. The total number of participants this year is:
    \[
    1.05m + 0.6m = 1.65m
    \]

12. The fraction of the soccer league that is female this year is:
    \[
    \frac{\text{Number of females this year}}{\text{Total number of participants this year}} = \frac{0.6m}{1.65m} = \frac{0.6}{1.65} = \frac{6}{16.5} = \frac{4}{11}
    \]

13. Therefore, the fraction of the soccer league that is female this year is:
    \[
    \boxed{\frac{4}{11}}
    \]